Answer: Jose should have the factory make 50 FS20 stereo tuners and 14 S100 stereo tuners each week to make the most profit
Step-by-step explanation:
Since each S100 takes 8 ounces of plastic and 4 ounces of metal. Each FS20 requires 4 ounces of plastic and 6 ounces of metal. And the factory has 312 ounces of plastic, 372 ounces of metal available, then,
For plastic
8 ounces + 4 ounces = 12 ounces
The number of stereo tuners it can produce will be
312/12 = 26 stereo tuners
For metal
4 ounces + 6 ounces = 10 ounces
The number of stereo tuners it can produce will be
372/10 = 37.2 = 37 approximately
Since FS20 generate more profit than S100, let assume that Jose produces 50 FS20 by consuming
4 × 50 = 200 ounces of plastic
6 × 50 = 300 ounces of metal
The remaining plastic will be
312 - 200 = 112
The remaining plastic will be
372 - 300 = 72
Divide 112 by 8 in order to make S100
112/8 = 14
Also 72/4 = 18.
Therefore, Jose should have the factory make 50 FS20 stereo tuners and 14 S100 stereo tuners each week to make the most profit
