Northwood Westwood Eastwood Planit 1 Plant 2 24 30 40 42 40 Problem II: An elect

Question

Northwood Westwood Eastwood Planit 1 Plant 2 24 30 40 42 40 Problem II: An electrical contractor pays his subcontractors a fixed fee plus mileage for work performed. On a given day the contractor is faced with four electrical jobs associated with various projects. Given below are the costs for each one of the subcontractors and a given project Projects Subcontractor Westside Federated Goliath Universal 50 36 16 24 28 30 18 36 35 32 20 12 25 25 14 42 How should the subcontractors be assigned so that total cost is minimized?

Explanation / Answer

Total Cost=

This example solve by matrix minima method . In this method 1st we find min value and allocate the carresponding min unit in demand or supply . in this example value of supply is min so corresponding row will delete and substract from the corresponding demand colunm. then also find min value and do same procedure till all colunms or rows delete, and value of allocated units multiply by where that values allocate that cell cost and add all then we get totol minimum cost.

project Subcontractor A B C D Supply Westside 50 36 16 24 126 111 26 Federated 28 30 18 36 112 Goliath 35 32 20 12 99 Universal 25 25 14 42 106 38 Demand 138 123 68 114 443 26 85 15 Allocate Units 1 12 99 2 14 68 3 24 15 4 25 38 5 28 112 6 36 85 7 50 26

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