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I Need a manual solution for this question. Please DO NOT USE excel solver.
Problem3 (25 marks)
National Wing Company (NWC) is gearing up for the new B-48 contract. Currently NWC has 100 equally qualified workers. Over the next three months NWC has made the following commitments for wing production:
Month
Wing Production
May
20
June
24
July
30
Each worker can either be placed in production or can train new recruits. A new recruit can be trained to be an apprentice in one month. The next month, he, himself, becomes a qualified worker (after two months from the start of training). Each trainer can train two recruits. The production rate and salary per employee is estimated below.
Employee
Production Rate (Wings/Month)
Salary Per Month
Production
.6
$3,000
Trainer
.3
3,300
Apprentice
.4
2,600
Recruit
.05
2,200
At the end of July, NWC wishes to have no recruits or apprentices but have at least 140 full-time workers. Formulate and solve a linear program for NWC to accomplish this at minimum total cost.
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