SOLUTION: A manufacturer of hubcaps makes a profit of $17 on each deluxe hubcap and $11 on each standard hubcap. The manufacturer can produce 700 hubcaps each day, but not more than 400 delu

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A manufacturer of hubcaps makes a profit of $17 on each deluxe hubcap and $11 on each standard hubcap. The manufacturer can produce 700 hubcaps each day, but not more than 400 delu      Log On


   

Question 1069536: A manufacturer of hubcaps makes a profit of $17 on each deluxe hubcap and $11 on each standard hubcap. The manufacturer can produce 700 hubcaps each day, but not more than 400 deluxe or more than 600 standard hubcaps. How many of each type should the manufacturer produce in order to maximize profit? What is the maximize profit?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P=17x%2B11y
x-number of deluxe hubcaps
y-number of standard hubcaps
x%2By=700
0%3C=x%3C=400
0%3C=y%3C=600
Check the profit at the two vertices,
(100,600):P=17%28100%29%2B11%28600%29=1700%2B6600=8300
(400,300):P=17%28400%29%2B11%28300%29=6800%2B3300=10100
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