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Two products are manufactured by passing sequentially through three machines. Times per machine allocated to the two products are limited to 10 hours per day. The production time and profit per unit of each product are

 

Production Time (Min)

 

Product

m/c 1

m/c 2

m/c 3

Profit

(Rs)

1

12

10

5

20

2

4

8

10

3

  1. Find the optimal mix of the two products using Simplex Method.
  2. Identify the machine (s) with abundant capacity at the optimum solution.
  3. For each machine with full utilization determine the worth per unit increase in its capacity.
  4. Which of the three machines should be given highest priority for capacity increase?          

                          

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