In: Accounting
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?