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In: Accounting

A company has three machines to make units of A. Input and output data for 1...

A company has three machines to make units of A. Input and output data for 1
hr of operation of each machine are as follows:

Input Input Output
Raw Material (lb) Labor (Worker Hours) (units of A)
Machine1 80 16 37
Machine2 50 35 43
Machine3 76 33 52


The company must produce 2000 units of A weekly. The company can purchase up to 1 ton of the raw material for $4/lb from one source and an unlimited
amount from another source for $5.50/lb. The firm has 900 hr of labor available
at $8/hr, and an additional 200 hr of overtime available at $12/hr. The company
pays only for the labor and raw material it uses. How many hours should each
machine be used to meet demands at minimum cost?

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