A manufacturer of CD players has determined that the profit P(x) (in thousands of dollars) is related to the quantity x of CD players

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A manufacturer of CD players has determined that the profit P(x) (in thousands of dollars) is related to the quantity x of CD players produced (in hundreds) per month by P(x)=-(x-4)e^x- 4, 0<x<3.9

Answer:

Profit made when x>0:

Set x=0
-(0-4)e^0-4
4(1-4)
=-12
Profit here is negative, so money is lost. 12000 dollars lost

Profit made when x<3.9

Set x= 3.9
-(-.1)e^3.9-4
=4.54

Profit is 4540 dollars

So… -12000<P(x)<4540 if 0<x<3.9