Profit (in dollars) from the production and sale

Question

Suppose that the profit (in dollars) from the production and sale of x units of a product is given by

P(x) = 180x − 

x2

100

 − 200.

In addition, suppose that for a certain month the number of units produced on day t of the month is

x = q(t) = 1000 + 10t.

(a) Find

(P q)(t)

to express the profit (in dollars) as a function of the day of the month.

(P q)(t) =

(b) Find the number of units produced, and the profit, on the 15th day of the month.

units produced				units
profit			$

 

Answer 1

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