SOLUTION: Suppose that the manufacturer of a gas clothes dryer has found​ that, when the unit price is p​ dollars, the revenue R​ (in dollars) is
Upper R left parenthesis
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Question 1111304: Suppose that the manufacturer of a gas clothes dryer has found that, when the unit price is p dollars, the revenue R (in dollars) is
Upper R left parenthesis p right parenthesis equals negative 8 p squared plus 48 comma 000 pR(p)=−8p2+48,000p
What unit price should be established for the dryer to maximize revenue? What is the maximum revenue?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
This has the general form:
( )
The x-value of the vertex ( maximum in this case ) is:
For your problem:
Plug this value back into the eqution
At a unit price of $3,000, the maximum revenue is
$72 million
check my math
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