Question: It is giving me issues and I figured it's time to get help. If you could explain why the total production isn't 100000 in April


It is giving me issues and I figured it's time to get help. If you could explain why the total production isn't 100000 in April and the rest. I will give a thumbs up.
Plan production for a four-month period: February through May. For February and March, you should produce to exact demand forecast. For April and May, you should use overtime and inventory with a stable workforce, stable means that the number of workers needed for March will be held constant through May. However, government constraints put a maximum of 5,000 hours of overtime labor per month in April and May (zero overtime in February and March). If demand exceeds supply, then backorders occur. There are 80 workers on January 31. You are given the following demand forecast February, 81,408; March, 61,440; April, 100,000; May, 40,000. Productivity is four units per worker hour, eight hours per day, 24 days per month. Assume zero inventory on February 1. Costs are hiring, $45 per new worker, layoff, $65 per worker laid off, inventory holding, $10 per unit-month; straight-time labor, $10 per hour, overtime, $15 per hour, backorder, $20 per unit. Develop a production plan and calculate the total cost of this plan. Note: Assume any layoffs occur at beginning of next month. (Leave no cells blank - be certain to enter "0" wherever required. Negative values should be indicated by a minus sign. Round your answers to the nearest whole number.) February 81.408 0 March 61,440 0 April 100,000 Forecast May 40,000 0 Beginning inventory 81408 61440 100000 Production required 20352 15360 25000 Production hours required 106 80 80 Regular workforce 81408 IDIOODIT 61440 61440 Regular production 0 0 5000 Overtime hours ETTEI 0 0 0 Overtime production 81408 61440 81498 Total production Overtime production 0 0 Total production 81408 61440 81498 0 0 0 Ending inventory 0 0 Ending backorders x 26 0 0 Workers hired 0 26 0 Workers laid off May February 203520 March 153600 April 250000 $ $ S Straight time X 0 0 0 Overtime 0 0 0 Inventory 0 0 00 Backorder X 1170 0 2250 Hiring ITLE 0 1690 Layoff 204690 $ 155290 Total Total costStep by Step Solution
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