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notsponge [240]
4 years ago
5

PLEASE HELP I WILL MARK BRAINLIEST WORTH 15 POINTS!!!!!!!

Mathematics
1 answer:
Verdich [7]4 years ago
7 0
44 hope i helped and god bless you
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The maximum profit is the y-coordinate of the vertex of the parabola represented by the equation.

P(c)=-20c^2+320c+5120 \\ \\
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\hbox{the vertex } (h,k): \\
h=\frac{-b}{2a}=\frac{-320}{2 \times (-20)}=\frac{-320}{-40}=8 \\
k=f(h)=f(8)=-20 \times 8^2+320 \times 8+5120= \\
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The maximum value is 6400, but the profit is given in hundreds of dollars, so multiply the value by 100.

The maximum profit the company can make is $640,000.
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