I need help with number $3$ and number $4$ Quarter $-$ I Beginning Inventory: Mowers $2600$; blowers $1400$ Output and Costs: Production Rates: Regular $500$ units per Full$-$Time employee per quarter $($of either unit$)$ Overtime up to $200$ units per Full$-$Time employee per quarter $($of either unit$)$ Temporary $400$ units per Temporary employee per quarter $($of either unit$)$ Subcontract Maximum subcontract output available is $5200$ units per quarter.Production work force: As of the first of the year, the production work force consists of $45$ Full$-$Time employees. Additional Assumptions: $1)$ Temporary employees may not work overtime $2)$ Assume $100\%$ utilization of Full$-$Time employees on regular time and of Temporary employees at all times $($i$.$e$.,$ all such employees on the payroll during a period produce at the rates shown under Production Rates$).3)$ Overtime utilization of Full$-$Time employees can be on an as needed basis subject to the limitation on maximum overtime output shown under Production Rates. Given all of this planning information, develop a series of aggregate plans to meet the criteria presented in the following series of problems. All plans must include full costs and hiring$/$layoff actions, as needed. Show all plans using one of the worksheets at the end of this document.The V$.$P of Marketing is not all that happy with the large volume of backorders in your plan from question $1$A $.$ She asks that you develop a plan that results in no backorders at any time during the year. The V$.$P$.$ of manufacturing says that he will insist that any such plan specify level output each quarter. The V$.$P$.$ of Finance states that you no longer need to have a Qtr$.$ IV ending inventory of $2000$ units. Using the original forecast data, beginning inventory, starting number of full time employees, etc. from problem $1,$ develop a plan that will meet the requirements of all three V$.$P$.\text{'}$s$\mathrm{.}4.$ On Dec. $22$ the V$.$P$.$ Finance informs you that the availability of capital will be extremely tight next year. As a consequence, he asks you to develop a radically different type of aggregate plan based on a "Chase" strategy. Ending inventory and backorders is to be zero at the end of each quarter. The V$.$P$.$ Manufacturing says he realizes this type of strategy will require him to abandon his beloved "level" strategy and for you to vary the total output rate from one quarter to another. The productivity planning factors for each type of output are repeated here $($note that there are some limits in a couple of the categories$).$ Finally, the Personnel Manager informs you that, due to end of the year retirements, only $32($not $45)$ fulltime employees will be on the payroll as of the beginning of Qtr$.1.$ These retirements will occur at the end of the prior year. As such, you do not show a layoff adjustment at the start of Qtr$.1.$ Using the original forecasts and beginning inventory information for problem $1,$ develop a "chase" plan, following the guidelines noted above.