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The cost, in dollars, for a company to produce x widgets is given by C(x) = 5250 +

7.00x for

x(>=) 0, and the price-demand function, in dollars per widget, is p(x) = 45 - 0.02x for 0 (<=) x (<=) 2250.

Given that the profit function for this scenario is

             P(x) = -0.04x2 + 18.00x - 250.

(a) The profit function is a quadratic function and so its graph is a parabola.

     Does the parabola open up or down? __________

(b) Find the vertex of the profit function P(x) using algebra. 

Top Answer

a) As coefficient of x^2 in profit function is equal to "- 0.04" which is negative , So, the parabolla is... View the full answer

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