Transport Cases
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ScribdTranslationsProposed problems
A chain of five warehouses, located in different parts of the country, require certain
goods for each of their warehouses. The supplying companies have informed that
They have the requested merchandise, but in three different factories. The scarcity of the product means that the
The warehouse chain must transport the merchandise. Based on the transportation costs per unit, to the
requirements of the warehouses and the availability of the factories, which is shown in the following
frame:
Find the basic feasible solution using one of the studied methods.
2.- A company wants to know which distribution policy will minimize its total costs. it has
three factories and four clients, the production of the factories is: 550, 300 and 260 units
respectively; and the needs of the four clients are: 250, 300, 200, and 160 units
respectively. The costs of sending one unit between each factory and the customers are given below:
Find the basic feasible solution using one of the studied methods.
3.- Consider the transportation problem that has the following cost table and
requirements.
Find the basic feasible solution using one of the studied methods.
4.- Consider the transportation problem that has the following cost table requirements:
Find the basic feasible solution, using one of the studied methods.
5.- A company has a shipping program. The company has 3 factories and 4 warehouses. A
The necessary data in terms of transportation cost and the capacity of each is provided below.
factory and the requirements of each warehouse.
Find the basic feasible solution, using one of the studied methods.
6.-- A product needs to be distributed from 3 factories (A, B, C) to 5 warehouses (d, e, f, g, h), the
The following table shows: Costs, demands, and offers.
What amount of product should be sent from each factory to each warehouse in order to minimize the
costs?
7. A company has 3 distribution centers: Bogotá, Barranquilla, and Medellín, with a capacity of
dispatch of 9,000, 11,000, and 5,000 units per week. Customers are classified by zones:
West, Coast, East, and Old Caldas; Their weekly demands are: 6,000, 5,000, 8,500 and
4,500 units respectively. The following table shows the costs of dispatching 100
units from any distribution center to any area.
What is the number of units to be dispatched from each center? distribution to
each customer in order for the total transportation costs to be minimal and all customers
be satisfied.
8.- A company dedicated to car rentals is experiencing a shortage of cars in a series of cities
located in Colombia. The cities of Bogotá, Medellín, Cali, and Barranquilla have 20, 35, 15
and 10 cars less than what is needed for the expected rentals. The director of the firm
It is reported that Ibagué, Armenia, and Pereira have 40, 25, and 30 more cars respectively.
costs in pesos for transporting a car between different cities are reflected in the following
table.
The problem consists of minimizing the total transportation cost to solve the scarcity issue.