Question 252082: find maximize profits?
Total raw materials = 500 lbs
Total Operation hours = 1,000 hrs
Raw material, hour, and profit requirements for each product:
A - 2 lbs requiring 4 hours to make $500 profit
B - 2 lbs requiring 5 hours to make $600 profit
C - 3 lbs requiring 5 hours to make $1,000 profit
2x+2y+3z <= 500
4x+5y+5z <= 1000
Answer by hokies(65)   (Show Source):
You can put this solution on YOUR website! If you produce only A, profits = $500*(1000 hours / 4 hours) = $125,000
If you produce only B, profits = $600*(1000 hours / 5 hours) = $120,000
If you produce only C, profits = $1000*(500 pounds / 3 pounds) = $166,667
You must use the limiting reagent for these calculations, which is why you can use either hours or pounds for A, you must use hours for B, and you must use pounds for C.
Therefore, to maximize profits you should make all of C, 166.67 units of C.
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