9. Climate Control, Inc. makes expedition-quality rain gear for outdoor enthusiasts. Management prepared a forecast of sales (in suits) for next year and now must prepare a production plan. The company has traditionally maintained a level workforce strategy. All nine workers are treated like family and have been employed by the company for a number of years. Each employee can produce 2,000 suits per month. At present, finished goods inventory holds 24,000 suits. The demand forecast follows: Month 1 2 3 Demand 25,000 16,000 15,000 19,000 Month 5 6 7 8 Demand 32,000 29,000 27,000 22,000 Month 9 10 11 12 Demand 14,000 15,000 20,000 6,000 a. Management is willing to authorize overtime in periods for which regular production and current levels of anticipation inventory do not satisfy demand. However, overtime must be strictly limited to no more than 20 percent of regular-time capacity. Management wants to avoid stockouts and backorders and is not willing to accept a plan that calls for shortages. Is it feasible to hold the workforce constant, assuming that overtime is only used in periods for which shortages would occur? b. Assume that management is not willing to authorize any overtime. Instead, management is willing to negotiate with customers so that backorders may be used as a supply option. However, management is not willing to carry more than 5,000 suits from one month to the next in backorder. Is it feasible to hold the workforce constant, assuming that a maximum backorder of 5,000 suits may be maintained from month to month? c. Assume management is willing to authorize the use of overtime over the next 4 months to build additional anticipation inventory. However, overtime must be strictly limited to no more than 20 percent of regular-time capacity. Management wants to avoid stockouts and backorders and is not willing to accept a plan that calls for shortages. Is it feasible to hold the workforce constant, assuming that overtime is only used in months 1 through 4? If not, in which months would additional overtime be required