calebjordanlorenzo
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How many DVDs. A small independent movie company determines the profit P for producing n DVD copies of a recent release is P = −0.02n2 + 3.40n − 16. P is the profit in thousands of dollars and n is in thousands of units.
a. How many DVDs should the company produce to maximize the profit?

should the company produce to maximize the profit?

Respuesta :

Cricetus

The company should produce "85" DVD's to maximize the profit.

According to the question,

The profit P for producing n DVD copies are

  • [tex]P=-0.02n^2+3.4n -16[/tex]

Let,

  • The number of units be "n".

Now,

To find the minimize profit,

→ [tex]P'(n) = 0[/tex]

→ [tex]-0.04n+3.4=0[/tex]

By substracting "3.4" from both the sides, we get

→ [tex]-0.04n+3.4-3.4=-3.4[/tex]

→                   [tex]-0.04n = -3.4[/tex]

→                            [tex]n = \frac{-3.4}{-0.04}[/tex]

→                            [tex]n = 85[/tex]

Thus the answer above is right.

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https://brainly.com/question/20862980

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