The answers to the question are:
- The machine that is the constraint is the machine c.
- The product m = 80 units and n = 80 units
- Net profit = $3600
<h3>1. How to solve for the constraint of the machine</h3>
We have to solve for the workload of the machines
For A. 20*100 = 2000
For B, 5 * 100 + 10 *80
= 500 + 800 = 1300
For Machine C = 15 * 100 + 15 * 80
= 1500 + 1200
= 2700
The time at the workstation in c is more than the constant time of 2400, hence the constraint that we have is machine c.
b. 2400- 1200 = 1200
The product mix would be 1200/15
= 80
Hence the product mix m = 80 units and that of n = 80 units
<h3>c. The total net profit</h3>
80*$90 = 7200 , 80 * 105 = 8400
7200 + 8400
= 15600
The net profit = 15600 - 12000
= $3600
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