SOLUTION: The cost function for a certain company is C = 60x + 300 and the revenue is given by R = 100x - 0.5x^2 . Recall that profit is revenue minus cost. Set up a quadratic equation and f

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Question 1046314: The cost function for a certain company is C = 60x + 300 and the revenue is given by R = 100x - 0.5x^2 . Recall that profit is revenue minus cost. Set up a quadratic equation and find two values of x (production level) that will create a profit of $300.
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
300=R-C

100x-0.5x%5E2-60x-300=300

40x-0.5x%5E2-600=0

0.5x%5E2-40x%2B600=0

x%5E2-80x%2B1200=0
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discriminant, %28-80%29%5E2-4%2A1200=6400-4800=1600=40%5E2;

highlight%28x=%2880%2B-+40%29%2F2%29