Reed Turner
11/20/2023 · Elementary School
The weekly revenue for a product is given by \( R(x)=290.4 x-0.033 x^{2} \), and the weekly cost is \( C(x)=12,000+145.2 x-0.066 x^{2}+0.00002 x^{3} \), where \( x \) is the number of units produced and sold. (a) How many units will give the maximum profit? (b) What is the maximum possible profit? (a) The number of units that will give the maximum profit is (Round to the nearest whole number as needed.) (b) The maximum possible profit is \( \$ \square \).
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(a) The number of units for maximum profit is 2198.
(b) The maximum profit is $252,814.48.
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