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A company produces heaters. Demand during each of the next 12 months is forecasted as shown below. Other relevant information is as follows: * Workers

A company produces heaters. Demand during each of the next 12 months is forecasted as shown below. Other relevant information is as follows:

* Workers are paid $5000 per month.

* It costs $500 to hold a heater in inventory for a month. The holding cost is based on each month's ending inventory.

* It costs $4000 to hire a worker.

* It costs $20,000 to fire a worker.

* Each worker can make up to 8 heaters a month.

* At the beginning of month 1 there are 500 heaters in inventory and 60 workers.

This information is summarized below.

Workers are hired and fired at beginning of each month which determines how the number of units that can be produced each month. Assume workers are hired and fired at the beginning of each month. How can the company minimize the cost of meeting demand for heaters on time?

1 2 3 4 5 6 7 8 9 10 11 12
Demand 945 791 364 725 268 132 160 304 989 293 279 794

Pay $5,000 per month
HoldCost $500 per EI heater
Hire $4,000 per worker
Fire $20,000 per worker
Productivity 8 heaters/month
Beg Inv 500 heaters
Workers(T=0) 60 Workers

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