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Algebra
Question

If the demand and cost functions for a product are...

If the demand and cost functions for a product are given, in dollars, by 

\( p = D ( x ) = - 0.5 x + 39 \) 

and 

\( C ( x ) = 1.5 x ^ { 2 } + 9.2 x + 67 \) 

What is the profit function? 

(A) \( P ( x ) = 1.5 x ^ { 2 } + 9.7 x + 28 \) 

(B) \( P ( x ) = - 1.5 x ^ { 2 } - 9.7 x - 28 \) 

(C) \( P ( x ) = 2 x ^ { 2 } - 29.8 x + 67 \) 

(D) \( P ( x ) = - 2 x ^ { 2 } + 29.8 x - 67\) 

Answer

D

Solution
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