SOLUTION: The revenue function R(x) and the cost function C(x) for a particular product are given. These functions are valid only for the specified range of values. Find the number of
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Question 1154437: The revenue function R(x) and the cost function C(x) for a particular product are given. These functions are valid only for the specified range of values. Find the number of units that must be produced to break even.
R(x)=200x-2x^2; C(x)=-x^2+25x+3100; 0 less than or equal to x less than or equal to 100.
The manufacturer must produce ____ units to break even.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
R(x)=200x-2x^2; C(x)=-x^2+25x+3100;
(0 less than or equal to x less than or equal to 100.)
for breakeven R(x)=C(x)
200x-2x^2=x^2+25x+3100
simplify
x^2-175x +3100 =0
(x-20)(x-155)=0
x=20 or 155
but x cannot be greater than 100
so x=20
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