Please help and show work I am having a hard time understanding thank you!!!

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 td be an apprentice in one month. The next month, the new recruit becomes a qualfied 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 worker5, Formulate a linear program for NWC to accomplish this at minimum total cost in dollars. Any extra production can be carried over from one month to the next at no cost. (Let Pi= number of production workers in month I (where I=1,2, or 3 ), T= number of trainers in month I (where I=1 or 2 ), Aj= number of apprentices in month / (where I=2 or 3 ), Rj= number of recruits in month i( where f=1 or 2).) Number of Trainers compared to Number of Recruits in June Number of Production Workers and Trainers in May Number of Workers at the End of July P1P2+T1T2=0A2+P2P3+T2=0A2R1=0A3R2=0 Pp,Tp,Aj,Rj0 for all /. Solve the linear program developed above. (Round your answer to the nearest whole number.) (P1,T1,R1,P2,T2,A2,R2,P3,A3)=(