A company that sells toys models their profit with the function P(x) = −4x3 + 32x2 − 64. Their profit P, in thousands of dollars,
is a function of the number of toys sold x measured in hundreds.
What do the key features of the graph reveal about the profits?
What is the maximum profit the company can make?

9514 1404 393

  a) profit has a typical curve: negative at low volume, and again at very high volume.

  b) $239,407

Step-by-step explanation:

a) The graph is negative below x=1.58, so the break-even point is 158 toys sold. The profit declines steeply above 533 toys sold, to again go negative for 774 toys sold. This sort of curve seems fairly typical.

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b) The profit is a maximum of $239,407 when 533 toys are sold.

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

to complete this square you have to rotate about the origin 270 degrees clockwise.