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 what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y = -x^2 + 99x - 932

Question

angel1st · Answer

thxxxxx

snowflake0531 · Answer

Just find the vertex

AZ · Answer

y = -x^2 + 99x - 932

x is the selling price of the widget
y is the profit made by selling widgets for 'x' dollars

To find out the selling price to have the highest profit, that would be the vertex like snowflake0531 mentioned above

You can graph it to find the vertex or you can use the formula to find the vertex

If you have an equation in the form of
y = ax^2 + bx + c

The x-value of the vertex is -b/2a
And to find the y-coordinate of the vertex, you just plug that value into the equation in place of 'x' and simplify

AZ · Answer

So your equation is 
y = -x^2 + 99x - 932

a is -1
b is 99
c is -932

The x-value of the vertex tells you the selling price to make the maximum profit

and that is -b/2a

so plug in those values and simplify it

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