A textile company produces shirts and pants. Each shirt requires two square yards of cloth, and each pair of pants requires three square yards of cloth. During the next two months the following demands for shirts and pants must be met (on time): month 1, 1,200 shirts and 1,400 pairs of pants; month 2, 1,300 shirts and 1,500 pairs of pants. During each month the following resources are available: month 1,9,000 square yards of cloth; month 2,6,000 square yards of cloth. In addition, cloth that is available during month 1 and is not used can be used during month 2 . During each month it costs $8 to produce an article of clothing with regular-time labor and $16 with overtime labor. During each month a total of at most 2,500 articles of clothing can be produced with regular-time labor, and an unlimited number of articles of clothing can be produced with overtime labor. At the end of each molding cost of $3 per article of clothing is incurred. a. Determine how to meet demands for the next two months (on time) at minimum cost. Assume that 100 shirts and 200 pairs of pants are already in inventory at the beginning of month 1 . If your answer is zero, enter " 0 ". Total cost: b. Use a two-way SolverTable to investigate the effect on total cost of two simultaneous changes. The first change is to allow the ratione of regular-time production cost (currently $16/$8=2 ) to decrease from 20% to 80% in increments of 20%, while keeping the regular time cost at $8. The second change is to allow the production capacity each month (currently 2,500 ) to decrease by 10% to 50% in increments of 10%. The ideat less regular-time capacity is available, but overtime becomes relatively cheaper. Is the net effect on total cost positive or negative? For low ratios of overtime to regular time production cost, as production capacity decreases, cost For high ratios of overtime to regular time production cost, as production capacity decreases, cost As the ratio of overtime to regular time production cost increases, cost