Linear programming problem

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Ruchi (Querist)
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06 December 2008 The Magi Refrigeration Company manufacturing refrigerators has production Plant in three cities A,B & C. Suppose for a three monthly period the production capacities are as follows

Plant (in city) Capacity (in units)

A 4000
B 8000
C 7000

Suppose further the company has four distribution centres whose demand is

Distribution Centre
(in City) Demand (in units)

D 5000
E 2000
F 6000
G 4000

The problem is to determine how many units should be transported from each plant to each distribution center so that the total cost of transportation is minimized. Given the cost in rupees for each unit transported on each route is as follows:

From To D E F G
A 42 70 65 78
B 35 64 69 84
C 27 58 70 80

Formulate this problem as a linear programming problem to minimize cost.

CA. PRASAD

CA. PRASAD (Expert)
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09 December 2008 I think this proble is based on transportation & not on linear programming. If it is on transportation, it wiil be difficult to present the answer. If possible please give me mail or call on 9822275284

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