The maximum profit is the y-coordinate of the vertex of the parabola represented by the equation.

$P(c)=-20c^2+320c+5120 \\ \\
a=-20 \\
b=320 \\ \\
\hbox{the vertex } (h,k): \\
h=\frac{-b}{2a}=\frac{-320}{2 \times (-20)}=\frac{-320}{-40}=8 \\
k=f(h)=f(8)=-20 \times 8^2+320 \times 8+5120= \\
=-1280+2560+5120=6400$

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.

4 0

3 years ago

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Can anyone help me please?

ozzi

There must be more students in the class, and most of the class must have scored lower then Paul and his friends. I could be wrong, but I hope this helps! :D

6 0

3 years ago

What is the distance along the Ferris wheel between two consecutive seats if the radius of the Ferris wheel is 45 ft and there a

Rudiy27

230.4 is the answer

6 0

3 years ago

8(2x-14)+13=4x-27<br> I need help

Misha Larkins [42]

Since
−
2
1
1
=
−
1
0
8
−211=−108 is false, there is no solution.

4 0

3 years ago

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