Question

A company has received a contract to supply gravel to three new construction projects located in town A, B and C. The construction engineers have estimated that the required amounts of gravel which will be needed at these constructions projects are:
Project Location
Weekly requirement
(Truckloads)

A
72

B
102

C
41

The company has 3 gravel pits located in towns X, Y and Z. The gravel required by the construction projects can be supplied by three pits. The amount of gravel that can be supplied by each pit is as follows:
Plant : X Y Z
Amount Available (truckloads): 76 82 77
The company has computed the delivery cost from each pit to each project site. These cost (in `) are shown in the following table:
Project Location

Pit

A
B
C


X
4
8
8


Y
16
24
16


Z
8
16
24


Schedule the shipment from each pit to each project in such a manner that it minimizes the total transportation cost within the constraints imposed by pit capacities and project requirements. Also find the minimum cost.
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Answer 1

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