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Uts Man Ind 2020

This document contains information about four different optimization problems: 1) It presents two air conditioning system alternatives for a cleaning establishment to choose from, listing the first cost, service life, salvage value, repair cost, and annual disbursement for each. It asks which system is more economical at an interest rate of 15%. 2) It provides production quantities for two plants and shipping requirements and transportation costs to three warehouses. It asks to determine the constraints and objective function for this transportation problem. 3) It provides monthly demand for a raw material over a 12-month period and gives ordering costs and unit purchase prices. It asks to determine the annual cost if ordering is done every three months.

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41 views1 page

Uts Man Ind 2020

This document contains information about four different optimization problems: 1) It presents two air conditioning system alternatives for a cleaning establishment to choose from, listing the first cost, service life, salvage value, repair cost, and annual disbursement for each. It asks which system is more economical at an interest rate of 15%. 2) It provides production quantities for two plants and shipping requirements and transportation costs to three warehouses. It asks to determine the constraints and objective function for this transportation problem. 3) It provides monthly demand for a raw material over a 12-month period and gives ordering costs and unit purchase prices. It asks to determine the annual cost if ordering is done every three months.

Uploaded by

Fathin
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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UTS : INDUSTRIAL MANAGEMENT Name :

DAY,DATE : SATUR DAY, OKTOBER, 17, 2020 TIME : 60 MINIT


Lecturer : Prof.Dr.Ir. Abdullah, MS .
A cleaning establishment is going to install one of two types of air conditioning systems. These
alternatives can be described as follows:
Type I Type II
First cost ($) 6,000 8,000
Service life (year) 8 12
Selvage value ($) 500 500
Repair cost per 4 years 750 750
Annual disbursement ($) 1,400 900
At an i=15%, which of these systems is the more economical? (15%)

2. A company manufactures a product from two plants. Plant I produce 800 units and Plant II
500 units per week .From these two plants , the product is shipped to three different ware-
houses. The requirement (unit) to three location and transportation cost are given as follows :
Warehous Requirements, Plant 1 (transportation Plant 2 (transportation cost)
e units cost), $

R 500 0.70 0.55

S 400 0.45 0.40

T 300 0.60 0.75

Determine the constraints and the objective function this problem? (7,5%)

3. The demand for a raw material during a future 12-month period is as follow

Mont 1 2 3 4 5 6 7 8 9 10 11 12
h

Ton 180 220 190 140 270 210 130 360 110 280 250 160

Ordering costs are $ 40 per order. The unit purchase price is $5.0 for lot sizes of 500 or more
units. Annual carrying costs per unit of inventory are approximately 30% of the unit purchase price.
Determine the annual cost if the ordering was done by three month Supply? (7,5%)

4.In a machine assignment problem, the constraints are found to be as follows:


2 X + 8 Y >= 80; 5 X + 2 Y >= 50; ; 3 X + 3 Y <= 66 and the objective function is
Min C = 30 X + 10 Y. Find the values of X, Y and C by using simplex method. (15 %)

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