A one-product company finds that its profit, P, in millions of dollars, is given by the following equation where a is the amount spent on advertising, in millions of dollars, and p is the price charged per item of the product, in dollars. 1 P(a,p) = 4ap + 120p – 20p? a'p-80 10 Find the maximum value of P and the values of a and p at which it is attained. The maximum value of P is attained when a is $ million and p is $ The maximum value of P is $ million.
A one-product company finds that its profit, P, in millions of dollars, is given by the following equation where a is the amount spent on advertising, in millions of dollars, and p is the price charged per item of the product, in dollars. 1 P(a,p) = 4ap + 120p – 20p? a'p-80 10 Find the maximum value of P and the values of a and p at which it is attained. The maximum value of P is attained when a is $ million and p is $ The maximum value of P is $ million.
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Transcribed Image Text:A one-product company finds that its profit, P, in millions of dollars, is given by the following equation where a is the amount spent on advertising, in millions of dollars,
and p is the price charged per item of the product, in dollars.
P(a,p) = 4ap + 120p – 20p2
a?p- 80
10
Find the maximum value of P and the values of a and p at which it is attained.
The maximum value of P is attained when a is $
million and p is $
The maximum value of P is $
million.
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