A manufacturer of lawn mowers must develop an aggregate production plan, given the forecasts for engine demand shown in the table below. Assume that each unit requires 7 labor hours of assembly time and workers on average work an 8-hour day and 20 days per month. Also Assume that the manufacturer at the start of month 1, has no employees. _----- 5 n- \"El-n Forecas 282 264 258 290 320 318 2100 3250 3460 3600 2790 2760 a) Develop a chase strategy aggregate production plan that would meet the forecasted demand of each month. b) Develop a level strategy production plan that would meet the variations in the forecasted demand by a combination of inventories and backorders. c) Develop a mixed strategy production plan that use 3-month averages (i.e. average demand every three months to determine the production schedule for those three months) with a maximum permanent workforce of 135. The workers can work 4 hours of overtime each day