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? |
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