Appliances Inc. is preparing an aggregate production plan for washers for the next four months. The company's expected monthly demand is given below in the chart. The company will have $610$ washers in inventory at the beginning of the month and desires to maintain at least that number at the end of each month. Assume hiring and layoff$/$firing$,$ if necessary, occur at the beginning of the month. Below is other critical data:

Production cost per unit $=$$$366$

Inventory carrying cost per month per unit $=$ $$61($based on ending month inventory$)$

Hiring cost per worker $=$$$1,220$

Firing cost per worker $=$$$2,440$

Beginning number of workers $=12$

$?$ Click here for the Excel Data File

Each worker can produce $122$ units per month.

a$.$ Given the planning information, develop a level production plan and a chase production plan. $($Leave no cells blank $-$ be certain to enter $"$O$"$ wherever required.$)$

$\backslash$table$[[$Level Plan,$],[$Month$,$Demand,$\backslash$table$[[$Regular$],[$Production$]],\backslash$table$[[$Ending$],[$Inventory$]],\backslash$table$[[$Workers$],[$Required$]],$Hire,Fire$],[1,5,856,,,,,],[2,8,784,,,,,],[3,4,392,,,,,],[4,10,248,,,,,],[$Total$,29,280,,,,,]]$

B$.$ Determine the cost of two plans.