National Wing Company (NWC)is Gearing Up for the New B-48

Essay

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: $$\begin{array} { c c } \text { Month } & \text { Wing Froduction } \\\hline \text { May } & 20 \\\text { June } & 24 \\\text { July } & 30\end{array}$$ 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. $$\begin{array} { | c | c | c | } \hline \text { Employee } & \text { Froduction Rate (Wings/Month) } & \text { Salary Per Month } \\\hline \text { Production } & .6 & \$ 3,000 \\\hline \text { Trainer } & .3 & 3,300 \\\hline \text { Apprentice } & .4 & 2,600 \\\hline \text { Recruit } & .05 & 2,200 \\\hline\end{array}$$ 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.