(19 points) Projected demand for a company's products is shown. On average an employee can complete 5 units/day based on 40 hours/week, and inventory at the beginning of period 1 equals zero (each question below is independent of others). Period 1 2 3 4 Production Days Forecast 63 11,000 units 64 15,000 units 61 52 16,000 units 14,000 units a. If a chase plan is used with hiring and firing, how many operators will be required in period 1 if there is a requirement to have ending inventory each period equal to 10 days of supply? b. If a chase plan is used with hiring and firing, how many operators will be hired at the beginning of period 2 (assume negligible training time and no ending inventory requirement)? c. If a chase plan is used with a constant staffing level, what will the staffing level be and how long will the average work week be in period 3? d. If a level plan is used with inventory, how many units of inventory will there be at the end of period 2 (assume no other inventory constraints)? e. If there are 2,000 units of inventory at the beginning of period 1 and management wishes to have 8 days supply of inventory at the end of period 4 (period 5 has 63 days and projected demand of 12,000 units), what will be the staffing level if a level plan is used?