Develop a production plan and calculate the annual cost for a firm whose demand forecast is: fall, 10,100; winter, 8,400; spring, 7,000; summer, 12,100. Inventory at the beginning of fall is 505 units. At the beginning of fall you currently have 35 workers, but you plan to hire temporary workers at the beginning of summer and lay them off at the end of summer. In addition, you have negotiated with the union an option to use the regular workforce on overtime during winter or spring if overtime is necessary to prevent stock-outs at the end of those quarters. Overtime is not available during the fall. Relevant costs are hiring, $90 for each temp; layoff, $180 for each worker laid off; inventory holding, $5 per unit-quarter; backorder, $10 per unit; 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 per season. In each quarter, produce to the full output of your regular workforce, even if that results in excess production. In Winter and Spring, use overtime only if needed to meet the production required in that quarter. Do not use overtime to build excess inventory in prior seasons expressly for the purpose of reducing the number of temp workers in Summer. (Leave the cells blank, whenever zero (O) is required. Negative values should be indicated by a minus sign. Round up "Number of temp workers, Workers hired and Workers laid off" to the next whole number and all other answers to the nearest whole number.) Fall Winter Spring 7,000 Forecast 8,400 10,100 505 0 -1,195 9,595 9,595 7,000 Summer 12,100 1,400 10,700 21,400 16,800 01 10 19,190 19,190 14,000 16,800 16,800 16,800 2,390 0 0 0 0 0 Beginning inventory Production required Production hours required Production hours available Overtime hours Temp workers Temp worker hours available Total hours available Actual production Ending inventory Workers hired Workers laid off 0 0 0 4,800 16,800 21,600 16,800 8,400 19,190 9,595 10,800 8,400 1,400 -1,195 0 100 0 0 0 10 0 10 Fall Winter Spring Summer Regular time Overtime Inventory Backorder Hiring Layoff Total Annual cost