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 160 units per month (Cost per Unit = $40 ). Overtime is limited to a maximum of 20 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 230 units. Backorders cannot exceed 50 units in any given month (Cost per Unit = $2 ) and must be no more than 0 in Period 6. Average Inventory Holding cost per Unit = $5. Forecasted Demand as well as Beginning and desired Ending Inventory are listed in the table below. 2 3 4 5 6 Total Month 1 Regular Output Overtime Output Subcontract Beginning Inventory | 20 Total Available for Sale Less Forecast 210 Plus Backlog-Current Period Less Backlog- Previous Period Ending Inventory Average Inventory 210 310 180 140 190 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. A Hint: Range (9035 Total Cost Month 1 = ,9135) Total Cost Month 2 = (11280 ,11350) Total Cost Month 3 = A Hint: Range Total Cost Month 4 = 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. ^ Hint: Range (9035 Total Cost Month 1 = ,9135) Total Cost Month 2 = (11280 ,11350) A Hint: Range Total Cost Month 3 = Total Cost Month 4 = A Hint: Range (7520 Total Cost Month 5 = ,7610) Total Cost Month 6 = Hint: Range Total Cost All Periods = (57000 ,58400)