Appliances Incorporated 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 $650$ washers in inventory at the beginning of the month and desires to maintain at least that number at the end of each month. Below are other critical data:

Beginning inventory $650$

Desired minimum ending inventory at end of each month $650$

Production cost per unit $$360$

Inventory carrying cost per month per unit $($based on ending month inventory$)$ $$50$

Hiring cost per worker $$1,000$

Firing cost per worker $$2,000$

Beginning number of workers $10$

Each worker can produce $($units per month$)100$

Required:

a$.$ Given the planning information, develop a level production plan and a chase production plan.

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