Mathematics
Jessxx13
14

The profit function for a firm making DVDs is P(x) = 88x - x2 -1200. Find the number of DVDs at which maximum profit is achieved, and find the maximum profit. Explain your work.

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(1) Answers
Varela285

This is a quadratic equation so you are looking for the vertex of the parabola. The y value is the maximum profit. p(x) = -x^2 + 88x - 1200 a = -1, b = 88 x = -b/2a; x = -88/(2*-1); x = 44 Plug x back in to the equation to find y. y = -(44)^2 + 88(44) - 1200 y = 736 The number of DVD's sold were 44 for a profit of $736

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