A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar. y=-2x^2+105x-859 y=−2x 2 +105x−859

1 answer
Question:

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar. y=-2x^2+105x-859 y=−2x 2 +105x−859

Answers

Answer: $519Step-by-step explanation:Given the amount of profit made expressed as y=-2x^2+105x-859 At maximum profit, dy/dx = 0dy/dx = -4x + 1050 = -4x + 1054x = 105x = 105/4x = 26.25Substitute into the original functiony=-2x^2+105x-859 y=-2(26.25)^2+105(26.25)-859y = - 1,378.125+2,756.25-859y = 519.125Hence the maximum amount of profit the company can make is $519

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