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I B.Com (Semester - Il} Principle of Economics 91 a & i w ¥ iy a Essay Questions ( 1. Define Cost? Explain the classification (types) of cost. Ans: The Cost of production is the expenditure that is incurred by a firm or a producer. The expenses are important from the point of view of the producer because the price ofa commodity should cover these costs. Otherwise the producer cannot afford to carry on the business. Thus the concept of cost is related to production. The remuneration paid to the different factors of production, the expenditure incurred on raw-materials machinery, factory buildings, electricity etc. are treated as costs of productions. Types of Costs: There are different concepts of costs. It is important to distinguish them. 1. Money Costs: The most widely accepted concept of cost is the money cost of production. Money costs are related to the money expenses of a firm. These are entrepreneur’s costs of producing a commodity. This include wages and salaries of labour, interest on capital, rent paid to the owners of land, cost of raw material, replacement charges of machinery, normal profits of entrepreneur, expenses on power, light, fuel, advertisement, transportation, insurance charges and all types of taxes. 2. Real Costs: Adam Smith regarded pains and sacrifices of labour as real cost. Marshall thought that the efforts and sacrifices undergone by various members of society in producing a commodity are the real costs. According to him the real cost of production is not expressed in money but in efforts (of workers) and sacrifices (of capitalists) which have undergone in producing a commodity. He treated it as social cost. There is no reference of money in this concept. Only efforts and sacrifices of individuals are treated as costs. Producer Equilibrium CC 3. incremental Costs:Incremental costs are addition to the total cost due to a change in the nature of level ofbusiness activity. Eg. Addition ofa new product, new machine, entering into a new market etc. 4. Marginal cost:It is the addition to the total cost by producing one more unit. MC curve is U-shaped tracing the three phrases of law of variable proportions (short run) or returns to scale. 5. Implicit costs: These are the costs of the factor units owned by the owner himself. They do not involve cash payments or appear in books of accounts,the value of next best alternative use of a resource owned by owner. They are invisible. 6. Explicit Cost:These are the costs which involve cash payments they are recorded in the books ofaccount. All manufacturing and trading expenses which involve cash payment are explicit costs. They are referred to as out of pocket costs. 7. Opportunity Costs:These are equal to the earnings which a factor of production in alternative use. It is the minimum payment tobe made toa factor unit to retain it in the present use rather than to seek employment else where. It is also called transfer price. 8. Fixed costs:The costs incurred on factors of production which are fixed in the short run eg. Cost of running fixed equipment, salaries of administrative staff, depreciation of machinery etc. These are the cost incurred even at zero output. These costs remain fixed inthe short nun only. 9. Variable Costs:Costs which vary with output are called variable costs. Inthe long run all costs are variable costs. Examples of variable costs are cost of raw material, wages of labour, oil fuel and gas consumed etc. ( 2. Explain the cost output relationship in the short run. Ans.The distinction between short run and long run does not relate to calendar period of time. It relates to the conditions of production. Short run is period during which all factors are not variable. Some factors are fixed and some are variable. Output can be varied by varying the variable factors. In the short run new firms cannot enter the industry nor firms can leave the industry. It B.Com (Semester - Il) Principle of Economics 93 Cost output relation in the short run:The short run is a period in which the firms cannot change its plant, equipment and the scale of organization. To meet the increased demand, it can raise output by hiring more labour and raw materials or asking the existing labour force to work overtime. The scale of organization being fixed, the short run Total Costs (TC) are divided into total fixed costs (TFC) and total variable costs (TVC) TC=TFC+TVC Total Costs:Total costs are the total expenses incurred by a firm in producing a given quantity or a commodity. They include payments for rent, interest, wages, taxes and expanses on raw materials, electricity, water, advertising etc. Total Fixed Costs:Total fixed costs are those costs of production that do not change with output. They are independent of the level of output. In fact, they have to be incurred even when the firm stops production temporarily. They are also called overhead. costs. Total Variable Costs:Total variable costs are those costs of production that change directly with output. They rise when output increases and fall when output declines. They are also known as direct costs. The following table shown in the total costs Units Total Fixed Total Variable | Total Cost Costs (TFOC)(Rs) | Costs (TVOC)(Rs) (tc)(Rs) 0 60 0 60 Producer Equilibrium 0 The above schedule is shown in the following diagram. TC y ‘TFC TFC/TVC/TC oO Number of Units x In the diagram above TFC is total fixed cost curve. It remains Rs.60 at all levels of output. TVC is total variable cost curve. Total variable costs are zero, when the output is zero and they continue to increase with a rise in the output. TC is the total cost curve (TFC + TVC) and the total cost vary with total variable costs, when the firm starts producing. Shortrun average costs:In the short run analysis of the firm, average costs are more important than total costs. The units of output that a firm produces do not cost the same amount to the firm. But they must be sold at the same price. Therefore, the firm must know the perunit cost or the average cost. The short run average costs of a firm are the average fixed costs, the average variable costs and average total costs. Average fixed cost: From the total fixed cost, average fixed cost can be find out. Average fixed cost is obtained by dividing the total fixed cost of the firm with its output. Average Fixed Cost =__Tolal Fixedeost gnc = TRC No. of Units produced Q The average fixed costs diminish continuously as output increases. This is natural because when a constant figure of total fixed costs are divided by a continuously increasing unit of output, It B.Com (Semester - Il) Principle of Economics 95 the result is continuously diminishing, average fixed costs. Thus, the AFC curve is a downward sloping curve which approaches the quantity axis without touching it. Average Variable cost:Similarly, average variable cost is obtained by dividing the total variable cost by the number of units produced. Total Variable cost AVC = TVC Average Variable Cost =———_—_————__., No. of Units produced Q The average variable costs decline with the rise in output as larger quantities of variable factors are applied to fixed plant and equipment. But eventually they begin to rise due to the law of diminishing returns. Thus the AVC curve is U- shaped. Average total costs:There are the average costs of producing any given output. They are arrived out by dividing the total costs at each level of output by the number of units produced. Total cost _ rc Average Total Cost =————__——_——___, = No. of Units produced. Q Ifaverage fixed cost and average variable cost are added for each level of output. We get average cost. Thus the SAC curve is U-shaped AC= AFC + AVC Short ran marginal cost:A fundamental concept for the determination of the exact level of output ofa firm is the marginal cost. Marginal cost is the additional to total cost by producing an additional unit of output. Change in Total Cost _ ATC SMC= - =— Change in Output AQ Producer Equilibrium 96 These costs are shown in the following table. No.of | TFC | TVC . Ave AVC / ARC / AC / MC AFC Oo x Number of Units From the above table marginal, average, average fixed and variable costs are shown in the following diagram. In the diagrams below AFC is the average fixed cost curve AVC is the average variable cost curve. AC is the average cost curve and MC is marginal cost curve. With the increase in the output the average fixed costs will continue to fall. The average variable costs are subject to the law of variable proportions. Therefore, they fall in the beginning, later they rise with the increase in output. Marginal cost curve falls at first as the output increase and then slopes upwards indicating the marginal cost is increasing with the further increase in output. So AC and MC are U shaped. Marginal cost curve intersects average cost It B.Com (Semester - Il) Principle of Economics 97 curve at its minimum point. The role of marginal cost is very important in the cost analysis. The producer always compares the cost of the additional unit produced with the revenue he is getting from that unit. So long the marginal cost is less than the marginal revenue, the producer continues to increase the production. If the marginal cost is more than the marginal revenuc he stops increasing the production. 3. Define Law of Supply and explain the factors determining Supply. Ans : Ineconomics, supply during a given period of time means the quantities of goods which are offered for sale at particular prices. Thus the supply of a commodity may be defined as the amount of that commodity which the sellers or producers are able and willing to offer for sale at a particular price during a certain period of time. Law of Supply:The law of supply shows the functional relationship between price and quantity offered for sale. The law of supply can be stated as follows: “other things remaining the same, the supply of a commodity extends with a rise in its price and contracts with a fall in its price”. Thus, there is a direct relationship between price and supply. The law of supply can be explained with the help of below schedule and curve. Price of Goods Quantity Supplied (Rs.) kg.) When the supply schedule is plotted on a graph, a supply curve is obtained. On X axis quantities of supply on Y axis prices are taken. SS curve is the supply curve. It has a positive slope. It moves upwards to the right. It shows that large quantity would be offered for sale at a higher price. Producer Equilibrium 98 wt Price ° Supply Supply function:Supply function explains the functional relation between quantity supplied and determinants of supply ofa commodity. This can be expressed as follows. Sy =f (Pee Spo Pps B,0.7 4,8) S, = Supply of Commodity X P,, = Price of Commodity X f = functionof f, = Prices of factor inputs employed for producing X P....PL= Prices of related goods O = factors outside the economic sphere. T Technology used. t = Taxation s = Subsidy Functional relationship between supply and price stated by the law of supply holds good only so long as other determinants of supply remains constant. Factors determine the supply: Some of the important factors which determine the supply ofa commodity are: L. Price of the commodity: The supply of the commodity depends upon the price of that commodity. Price and supply are directly related to each other. The lower, the price, the smaller the supply and higher the price, the larger the supply, supply depends only upon its own price but also on the prices of substitute and complementary goods. It B.Com (Semester - Il) Principle of Economics 99 2. The price of factors of production: The cost of production of acommodity depends upon the prices of various factors of production. If there is an increase in the price of factors of production, the production costs would be higher for the same level ofoutput. There will be a fall in profit and supply will be reduced. In the same way, a fall in the prices of factors of production would reduce the cost of production. Thus supply is affected by the prices of the factors in both cases. 3. The state of technology: An improvement in the technology leads to reduction in the cost of production which will increase the supply. All inventions and innovations are aspects of new and improved technology which increase production and supply and reduce the cost of production. 4. Price Expectations: The sellers always try to study market conditions. If they expect that future price will be higher than the prices at present, they try to reduce the present supply of the commodity. On the other hand, if they expect a fall in the future price they try to sell more at the current prices. 5. Entry of new firms:The supply of a commodity depends upon the number of firms. The larger the number of firms, the more will be the supply of the commodity. 6. Other Factors: Supply of commodity depends on the goals and targets of the firms. Weather conditions, floods, droughts, epidemics etc., do cause fluctuations in the supply of goods. 4. Define Law of Supply and explain the exceptions to the Law of Supply. Ans: In economics, supply during a given period of time means the quantities of goods which are offered for sale at particular prices. Thus the supply of a commodity may be defined as the amount of that commodity which the sellers or producers are able and willing to offer for sale at a particular price during a certain period of time. Law of Supply:The law of supply shows the functional relationship between price and quantity offered for sale. The law of supply can be stated as follows: “other things remaining the same, Producer Equilibrium 100 the supply of acommodity extends with a rise in its price and contracts witha fall in its price”. Thus, there is a direct relationship between price and supply. Exceptions to the Law of Supply: It is said that there are some exceptions to the law of supply. 1, Producer may anticipate further changes in prices suppose the price of a commodity has fallen. It is expected to fall further. Then, firms try to sell more when the price has initially fallen. 2. The law does not apply to labor. For example, the supply of labor may get reduced as wage rate rises beyond a point. The labor may be satisfied with a certain level of income. As he gets the desired level of income, a higher wage rate reduces the supply of labor. At that point the supply curve of labour bends backward. 3. The supply of agricultural output depends on weather conditions. Even when the prices have gone up agricultural products may be in short — supply. 4. In the long — run the tastes and habits are more effective than prices. 5. Expectations regarding price — changes: If the sellers think that the price in the future is going to fall, they may sell more at the lower price itself. More supply at the lower price is contrary to the law. 6. Labour Supply: \n the case of labour supply, the supply curve may be backward bending. Some labourers may be satisfied witha certain minimum income. Until they get that minimum income, they work more as wages rise. After that they work less. Therefore, the supply curve goes upward for part of the length and then bends backwards. In the diagram the supply curve of labour goes upward until the wages are W,,. After that the supply of labour falls as wages increase. So the supply curve bends backwards. It B.Com (Semester - Il) Principle of Economics 101 LS Wages 2222 2 4 LS O° Tabour Supply X But this may be true in the case of some individuals. For the industry as a whole, the supply curve goes upward. 5. Explain the law of variable proportions with a suitable diagram, assumptions and importance. (Or) Discuss the law of diminishing Marginal Returns with a suitable diagram. (Or) Write the three Stages of Production function through law of Variable Proportions. Ans : The law of variable proportions explains the behavior of production function in the short run. In the short run some factors of production or inputs are fixed and some factors or inputs are variable. The firm can vary the output by varying the quantities of one or few inputs. When we thus varies the proportion between fixed and variable factors, what is its effect on output? The answer to this is found in the law of variable proportions popularly known as the law of Definiton : According to Alfred Marshall ‘an increase in capital and labour applied in the cultivation of land causes in general less than proportionate increase in the amount of produce raised unless it happens to coincide with an improvement in the art of agriculture’. Producer Equilibrium 102 According to Stigler “Tt means as equal increments of one unit ar added; the inputs of other productive service being held constant, beyond a certain point the resulting increments of product will decrease, i.e. the marginal product will diminish”. Assumptions of the law : The law of variable proportionate holds good under the following conditions. 1. Constant Technology : The state of technology is assumed tobe given and constant. If there is an improvement in technology, the production will move upward. 2. Factor proportions are variable : The law assumes that factor proportions are variable. If factors of production are to be combined in a fixed proportion, the law has no validity. 3. Homogenous factor units : The units of factor are homogenous and each unit in quality and amount vary with other unit. 4. Short run : The law operates in the short run when it is not possible to vary all factor inputs. Explanation of the law : The law can be explained with the help of numerical example. Take the case of a farmer who is cultivating anacre of land. Assume that the area ofland and his capital equipment are fixed. He tries to increase output by varying the number of men i.e., labour. The changes in output, that is total product, average product and marginal product of labour are shown in the following table. Variable | Total Average Marginal factor | product | product product Stages (labour) | Quintals) (Quintals) (Quintals) 0 1 5 3 : | Stage] oweasing 2 2 6 7 * retums 4 2 $ 5 } Stage I Diminishing 5 20 4 0 § | oH | 23 f smem ere It B.Com (Semester - Il) Principle of Economics 103 Inthe beginning by increasing the units of variable factor i.e., labour the total product increases at an increasing rate. For example, the output produced by one labourer is five quintals and the output produced by two labourers is 12 quintals which is more than double. Thus when the total product increases at an increasing rate, the average product and marginal product also increases. This is the “first stage’ which is known as the stage of “Increasing returns’. As more number of labourers are employed further the total product increases at a diminishing rate and becomes maximum at the fifth labour. Therefore, the average product and marginal product start decreasing. The marginal product becomes zero at the fifth labour. This is the ‘Second Stage’ which is known as the state of “Decreasing Returns’. Ifthe cultivator will continues to employ more labourers, the average product further falls and the marginal product becomes negative. The total product is diminishing. This is the “Third stage’, which is known as the ‘stage of negative returns’. The law of variable proportions can be explained with the help of the following diagram. 25 4 Total B product 20 | A ' Average 15 4 product i 10 4 Marginal | product 5 ; TP 0 | N WN 69 1234656 Variable Factor MP In the above diagram the variable factor i.c., labour is shown on X-axis and the output is shown on Y-axis. Up to ON Labourers (Le, 3 labourers). The total product increases at an increasing rate. Producer Equilibrium 104 The marginal product curve reaches maximum at point Q, and then starts falling, the marginal product curve cuts the average product curve at the latter maximum point Q. At this point average product = marginal product. Thisis the first stage ‘Increasing Returns’ take place. When the number of labourers is more than ON the total product curve increases at a diminishing rate. While average product curveand marginal product fall. At ON, Labourers, the total product curve reaches the maximum at point B and marginal product curve intersects the X-axis. This is the second stage in which ‘Diminishing Returns’ take place. The third stage refers to negative marginal returns. Beyond ON, labourers TP Curve also falls, MP Curve enters the negative quadrant. The average product continues to fall. This is the third stage in which “Negative Returns’ take place. The third stage refers to negative marginal returns. Beyond ON, labourers TP curve also falls, MP curve enters the negative quadrant. The average product continues to fall. This is the third stage in which “Negative Returns’ take place. In the above three stages, the important stage is the second stage. In the first stage output increases at an increasing rate. Any rational producer cannot stop at this stage. Similarly, the producer will not carry production in the third stage as it gives negative returns. Therefore, a rational producer will neither stop in the first stage nor enter the third stage. The second stage indicates the economic region to the producer. 6. Explain the law of Returns to Scale with a suitable diagram. (Or) Write about the Longrun Production function. Ans : The law of variable proportions is applicable in short periods. Inthe short period some factors remain fixed and it is not possible to vary their amount, output can be increased by varying other factors. It B.Com (Semester - Il) Principle of Economics 105 In the long run all factors including plants and machines are variable. A firm can expand its scale of operations longrun. It means that the firm expands production by increasing all inputs i.c., more equipment, more labour, more space etc. Ifthe increase in output is proportional to the increase in the quantities of the inputs, the returns to scale are said to be constant. Here, a doubling of factors or inputs causes doubling of output. Ifthe increase in output is more than proportional, the returns to scale are increasing. If the increase in output is less than proportional, the returns to scale are decreasing. When a firm expands its scale, it first passes through a phase of increasing returns to scale, then a phase of constant returns, and finally a phase of diminishing returns to scale. Assumptions : The law however, assumes that : 1. Techniques of production is unchanged. 2. Allunits of factors are homogencous. 3. Returns are measures in physical terms 4. The law operates in the long - run. There are three phases of return in the long run which may be separately described as: A) The law of increasing returns B) The law of constant returns C) The law of decreasing returns. Let us briefly describe these laws. a) The law of Increasing returns : The law of increasing returns describes increasing returns to scale. There are increasing returns to scale when a given percentage increase in output will lead toa greater relative percentage increase in the resultant input. Algebrically, AP Where, > = Proportionate change in output. -* Proportionate changes in inputs (factors) Producer Equilibrium 106 Increasing return to scale arise due to the following reasons. i) Indivisibility of Factors : Increasing returns to scale arise due to the individualities of some factors of production. Since a machine is indivisible, its full capacity has tobe utilized in the process of production. For example, suppose a machine has the capacity to produce 1000 pens a day. If the machine produces 200 pens per day. The fixed cost of machine will be distributed over 200 pens. On the other hand ifit uses its full capacity i.e., produces 1000 pens a day the fixed cost (machine cost) will be spread on 1000 pens which reduces the per unit cost of production drastically. Thus, increasing returns arise due to the indivisibility of the machine. This indivisibility applies to labour also. ii) Dimensional Relations : Increasing returns arise with the increase in dimensions. It is cheaper to construct bigger machines. It is also cheaper to operate them. For example, the cost of construction of double decker bus is not double to that of an ordinary bus. Its operations costs are also not double. But it can carry double the number of passengers. Thus with an increase in dimensions, advantages will arise. Ifthe diameter ofa water pipe is doubled, the flow of water through the pipe will be more. iii) Specialization : (Division of labour) : Increasing returns occur due to specialization also. When the units ofa variable factor are increased there is a greater cooperation and higher degree of specialization. When the size of a firm increase, it leads to specialization of labour & capital which in turn leads to increasing returns to scale. Specialization leads to internal and external economies. B) Constant Returns to scale : The process of increasing returns to scale, however, cannot go on forever. It may be followed by constant returns to scale. As the firm continues to expand its scale of operations, it gradually exhausts the economies responsible forthe increasing returns. Then the constant returns may occur. There are constant returns to scale when a given percentage increase in inputs leads to the same percentage increase in output. It B.Com (Semester - Il) Principle of Economics 107 AP AF Algebrically, 7 = - ©) Decreasing returns to scale : As the firm expands, it may encounter growing discconomies of the factors employed. As such when powerful diseconomies are met by feeble economies of certain factors, decreasing returns to scale set in . There are decreasing returns to scale when the percentage increase in output is less than the percentage increase in input. Algebricall a < Ar BeOnicaly, “pe When the scale is increased too much, the problem of supervision and co-ordination becomes difficult. Thus a firm first gets increasing return to scale then constant returns to scale and ultimately decreasing returns. Retums to scale can be explained with the help of the diagram. Y| Marginal Returns Xx O Scale of Production In the above diagram, Scale of production shown on X-axis, and marginal returns are shown on Y-axis. RCDS is the returns to scale curve, where from R to C the returns are increasing, from C To D they are constant and from D to S they are diminishing. Producer Equilibrium 108 7. What is meat by Economics of Scale ? What are its types ? (Or) Explain the advantages of large Scale Production. (Or) Write about internal Economies and External Economies. Ans : Economies of scale : One of the important factors which determine the volume of production is the scale of production adopted by firms. When a firm produces on large scale by expanding its size it can introduce new types of machinery and new methods of organization which will lead to improvements in efficiency of production. When a firm is small it cannot use expensive machinery. The advantages that acquire a firm as a result of increase in its scale or growth in its size are called economics of scale. Such economies of scale have been classified by Marshall into External and Internal economies. Internal Economies : Internal economies are those economics which are open to an individual firm when its size expands. They emerge with in the firm itself as its scale of production increase. Internal economies in the scale of its output cannot be realized unless the firm increases its input, i.c., expands its size. Thus, internal economies are the function of the size of firm. Internal economies are classified into five types — technical, managerial, commercial, financial and risk spreading. i) Technical Economies : Technical economies are those which arise from the use of better machines and techniques of production. Asa result of these economies, there will be an increase in the production and fall in the cost of production per unit. ii) Marketing Economies : A large firm purchases various inputs in bulk and therefore, it can secure them at cheaper rate when compared to the small firms. It can also secure special transport concessions, better quality inputs etc. It can sell its finished goods without any difficulty. It can also have its own sales agency and marketing department. Thus, as the scale of the firm increases, it obtain the economies of purchase & sale. It B.Com (Semester - Il) Principle of Economics 109 iii) Managerial Economies : Managerial economies arise due to a better and more elaborate management which only the large size firm can afford. A large firm can appoint specially qualified and highly paid officials to look after the production, accounts, advertisement etc. Thus, with the increasing scale of output greater managerial economies are enjoyed by an expanding firm. iv) Financial Economies : A large sized firm can reduce its costs of borrowing from the banks and other financial institutions. It can procure finance in time at cheaper rates of interests because it possesses large assets and good reputation. It can also mobile fresh capital by floating shares and debentures in the capital market easily. v) Risk bearing Economies : A large firm can produce a number of products in different varieties and sell them in different areas. Therefore, it is in a better position than a small firm in facing its risks. It can counter balance the loss in one product by the gain the other products. External Economies : When the number of firms producing the same commodity increase in a particular areas, all the firms enjoy certain advantages which are called external economies. External economies arise because of the following reasons. Economies of concentration : Concentration of a particular industry in one area results in the development of conditions helpful to the industry. When the firms in an industry are established at the same place, they all can get some common benefits like provision of better transport, facilitics, availability of skilled labour, better financing facilities, better power resources, better research facilities, etc. The cost of production is there by reduces. Economies of Information : When many firms are located at one place, they enjoy economies of information. They can collectively publish trade and technical journals. The industry can also set up an information centre. When the firms in the industry increased in number, all the firm get the information regarding price ete. Producer Equilibrium 110 Economies of specialization : When a number of firms are concentrated in a particular area, they can specialize in different processes, so that, the industry benefits as a whole. For example, when the cotton textile industry expands, some firms can specizlie in manufacturing thread, some others in weaving and some others in printing and so on. Asa result, the productive efficiency of the firms specializing and so on. Asa result, the productive efficiency of the firm specializing in different fields increases and the cost of production. falls. Economies of Welfare : When many firms are located in a particular area, the industry is in more advantageous position to provide welfare facilities to the workers. It can set up housing colonies tothe workers. It can provide public health and recreational facilities and also establish educational institutions etc. Such facilities increase the efficiency of the workers who work for the quality and quantity of the products of the industry. Thus, both internal and external economies increases the output and reduce the cost of production. But, these economies arise only uptoa particular limit beyond which diseconomies emerge. ( 8 Discuss the properties of Isoquants. Ans: An Iso-product curve shows different combinations of factors of production which yield equal production. Since all combinations on the same Iso-product curve give the producer the same amount of production, he is indifferent to these combinations. That is why Iso-product curves are sometimes called “Production indifference curves’. Properties of Iso-product curves or Isoquants: Iso- product curves have almost the same properties as are possessed by the indifference curves. Some important properties of the iso- product curves are as follows : i) Iso-Product Curves Slope Downward from Left to Right: An iso-product curve is falling downward from left to right. This can be explained with the help of the concept of marginal rate of falling technical substitution. We know that points on iso-product It B.Com (Semester - Il) Principle of Economics 111 curveyield the same amount of output when we increase the amount of one factor of production, the amount of the other factor of production has to be decreased. It is a must for keeping the level of output constant. If we increase the amount of one factor without decreasing the amount of the factors, output will increase. The downward sloping nature of the iso-product curve can be explained with the help ofa figure. Yh a Units of Capital kK Z : Oo L Ty x Units of Labour The diagram shows that when the amount of labour is increased from OL to OL,, the amount of capital has to be decreased from OK to OK,. This is a must for keeping the level of output constant. When we join these input combinations, we get an IQ curve falling downward from left to right. The possibilities of horizontal, vertical, or upward sloping iso- product curves can be ruled out. This we can prove with the help of the diagrams. The first figure shows that as amounts of both factors of production i.e., labour and capital are increased, output also increases and that is why IQ slopes upward. This is not possible since the basic property of IQ is disturbed i.e all combinations on the same IQ yield equal amounts of output does not seem to be true. Similarly in figures (ii) and (iii) amount of one factor is increased while keeping constant the amount of other factor. This also gives the same level of outputs as we move from combination A to B. And itis against the given assumption. In other words IQ slopes downward from left to right. Producer Equilibrium 112 Yt Ya vs ia ia _ z z Bg a BK & K B & 8) é° Sk AB ig SK 3k aA 2 2 2 5 5 5 - ~ ~X Lo x ° cx O° chy Units of Labour Units of Labour Units of Labour @ @ @ ii) Iso-Product curves are Convex to the Origin: This property of IQ can be explained with the help of the concept of MRTS. As we know from our earlier discussion, MRTS has a diminishing tendency. In other words, when we go on increasing the amount of one factor of production by reducing the amount of other factors of production, we see that less units of capital are sacrificed for the additional units of labour. This property of IQ gives the IQ a convex shape. Ifthe IQ were concave as shown in the figure, MRTS would increase thereby showing that more units of capital would be sacrificed for getting more units of labour. But it is against the given assumption that MRTS is always diminishing. Therefore, an Iso- product curve is always convex to the origin. Yh wr AB=BC=CD. W2SZY

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