A company has predicted the following demands for the next six months:

A single worker working for one month can produce 125 units. The beginning workforce is 50 workers. It costs the company $1500 to hire one worker, and it costs the company $2500 to lay off a worker. The cost to carry an item is $15 per unit per month. The stock out cost is estimated to be $40 per unit.
Develop a level sales and operations plan for this firm. Develop the monthly production schedule and show the labor workforce and inventory levels. Finally, compute the cost of the plan.

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Month 1 Demand 15.000 18,000 15,000 20.000 22,000 24.000 114,000 Total