QUESTION 2 20 points Densepack is to plan work force and production levels for the next six months The sales forecast for the next six months is as follows Month 1 2 3 4 5 6 Forecast 780 640 900 1200 2000 1980 Assume the following figures. Cost of hining is $500 per worker, Cost of layoff is $1000 per worker, the inventory carrying cost is $80 per unit PER MONTH each worker con produce 3.5 units per month Backlogoing overtime and subcontracting are not permitted Showing your work will allow for partial credit a Develop and calculate the costs of an aggregate plan in which the same amount is produced each month Assume a beginning work force of 358 and no beginning inventory b Develop and calculate the costs of an aggregate plan where production each month equals the forecast Assume a beginning work force of 358 and no beginning inventory