SOLUTION: The cost function for a certain company is C = 30x + 600 and the revenue is given by R = 100x − 0.5x2. Recall that profit is revenue minus cost. Set up a quadratic equati

Question 1154496: The cost function for a certain company is
C = 30x + 600
and the revenue is given by
R = 100x − 0.5x2.
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 $600.
x =

Found 2 solutions by josgarithmetic, mananth:
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
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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 $600.
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You already know what to do based on what you know right now.
Profit is R-C. Fill them in, and do what you need.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!

The cost function for a certain company is
C = 30x + 600
and the revenue is given by
R = 100x − 0.5x2.
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 $600.
x =
R-C=600
(100x − 0.5x2)-(30x+600)=600
0.5x^2 -70x+1200=0
x^2-140x+2400=0
factorize
(x-40)(x-60)=0
Therefore x=40 or x=60 are the values of x that will create a profit of $600.
x

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