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math
The price p and the quantity x sold of a certain product obey the demand equation below.
x equals negative 4 p plus 88 comma 0 less than or equals p less than or equals 30x=−4p+88, 0≤p≤30
(a)
Express the revenue R as a function of x.
(b)
What is the revenue if
6464
units are sold?(c)
What quantity x maximizes revenue? What is the maximum revenue?
(d)
What price should the company charge to maximize revenue?
(e)
What price should the company charge to earn at least
$288288
in revenue?