A dry cell battery ianulacturing company has three plants and five sales offices that are located at different places. The unit production cost differs from one plant to another and so differ the selling prices at various sales offices. This information along with other relating to demand, capacity and transportation costs are given below: Sales office Сараcity Production Plant (units) cost (Rs.) A B C D E 1 6+X 4+X 6+X 11+X 8+X 150 24 14+X 10+X 9+X 5+X 10+X 200 26 3 9+X 8+X 4+X 4+X 11+X 125 22 Demand (units) 80 100 75 45 125 Selling price (Rs.) 39 39 36 40 37 Obtain the most profitable schedule for the company. X = last digit of your roll no.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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A dry cell battery manufacturing company has three plants and five sales offices that are
located at different places. The unit production cost differs from one plant to another and so
differ the selling prices at various sales offices. This information along with other relating to
demand, capacity and transportation costs are given below:
Sales office
Сараcity
(units)
Production
Plant
cost (Rs.)
A
B
D
E
1
6+X
4+X
6+X
11+X
8+X
150
24
2
14+X
10+X
9+X
5+X
10+X
200
26
3
9+X
8+X
4+X
4+X
11+X
125
22
Demand (units)
80
100
75
45
125
Selling price (Rs.)
39
39
36
40
37
Obtain the most profitable schedule for the company. X = last digit of your roll no.
Transcribed Image Text:A dry cell battery manufacturing company has three plants and five sales offices that are located at different places. The unit production cost differs from one plant to another and so differ the selling prices at various sales offices. This information along with other relating to demand, capacity and transportation costs are given below: Sales office Сараcity (units) Production Plant cost (Rs.) A B D E 1 6+X 4+X 6+X 11+X 8+X 150 24 2 14+X 10+X 9+X 5+X 10+X 200 26 3 9+X 8+X 4+X 4+X 11+X 125 22 Demand (units) 80 100 75 45 125 Selling price (Rs.) 39 39 36 40 37 Obtain the most profitable schedule for the company. X = last digit of your roll no.
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