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baherus [9]
3 years ago
6

A company earns P dollars by selling x items, according to the equation P(x)=-0.002x^2+5.5x-1000. How many items does the compan

y have to sell each week to maximize the profit?

Mathematics
1 answer:
san4es73 [151]3 years ago
6 0
So.. check the picture below

that's when the profit gets maximized

\bf \qquad \textit{vertex of a parabola}\\ \quad \\

\begin{array}{lccclll}
P(x)=&-0.002x^2&+5.5x&-1000\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad  {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)

how many items does the company need to sell? they need to sell \bf -\cfrac{{{ b}}}{2{{ a}}}

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