Given the projected demands for the next six months, prepare an aggregate plan that uses inventory, regular time, overtime, subcontract and backorders. Regular time is limited to 150 units per month (Cost per Unit = 540 ). Overtime is limited to a maximum of 40 units per month (Cost per Unit --$60). Units purchased from the subcontractor (Cost per Unit = $72) cannot exceed 50 per month and the total purchases from the subcontractor over the 6 month period cannot be over 160 units. Backorders cannot exceed 30 units in any given month (Cost per Unit - $4 ) and must be no more than 10 in Period 6. Average Inventory Holding cost per Unit - $8. Forecasted Demand as well as Beginning and desired Ending Inventory are listed in the table below. Month 1 5 6 Total 10 Regular Output Overtime Output Subcontract Beginning Inventory Total Available for Sale Less Forecast Plus Backlog Current Period Less Backlog-Previous 220 210 310 180 140 180 Total Available for Sale 220 210 310 180 140 180 Less Forecast Plus Backlog-Current Period Less Backlog-Previous Period Ending Inventory Average Inventory 30 Required: Find the Minimum Cost Production Plan by Creating a Spreadsheet in Excel. Use Solver to find the Minimum Cost Solution. Leave a copy of your Spreadsheet in the DropBox. Total Cost Month 1 A Hint: Range (10620 10660) Total Cost Month 2 A Hint: Range (12180 Total Cost Month 1 = A ,10660) Hint: Range (10620 Total Cost Month 2 A/ ,12300) Hint: Range (12180 Total Cost Month 3 = Total Cost Month 4 Total Cost Month 5 A/ .7300) Hint: Range (7170 Total Cost Month 6 AJ Total Cost All Periods AJ Hint: Range (59040 .59640) Anomer