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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 = -4x^2 + 141x - 703

 Mar 14, 2021
 #1
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The equation is a dome shaped parabola

   x coordinate of the vertex is   - b/2a =   -141/(2*-4)   = 141/8      (  or 17.625) 

 

use 141/8   for x in the equation to calculate 'y' = maximum profit

 Mar 14, 2021

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