Develop a prodiction plan and calculate the annual cost for a firm whose dermand forecast is fall, 10,000 ; winter, 8,000 ; spring. 7,000 . summer, 12.000. Inventory at the beginning of fall is 500 units. At the beginning of fall, you have 30 workers, but you plan to hire temporary workers at the beginning of stmmer and lay them off at the end of summer. In additson. you have negotiated with the unien an option to use the regular workforce on overtime durlng winter or spring if overtime is recessary to prevent stock-outs at the enid of those quarters. Overtime is not avallable during the fall. Relevant costs are hiring. $110 for each temp, tayoff, 5220 for each worker latd off; inventory holding, $5 per unit-quarter, backorder. $10 per unt, regular time, $5 per hour; overtime, $8 per hour, Assume that the productivity is 0,5 unit per worker hour, with eight hours per day and 60 days perseason. In each quarter, produce to the full output of your regular workforce, even if that resuits in excess production. In winter and springi use overtime only 11 needed to mect the: production required in that quarter. Do not use overtime to build excess inventocy in prior seasons expressly for the purpose of reducing the number of temp workers in summer. Note: Leeve the cells blank, whenever zero (0) is required. Negative values should be indicated by a minus sign. Round up "Temp workers", "Workers hired", and "Workers laid off" to the next whole number ond all other answers to the nearest whole number