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:
Each worker can either be placed in production or 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 are estimated below.
At the end of July,NWC wishes to have no recruits or apprentices but 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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