SOLUTION: The price p and the quantity x sold of a certain product obey the demand equation below. x= -4p+88, 0 less than or equals p less than or equals 22 ​(a) Express the revenu

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Question 1130303: The price p and the quantity x sold of a certain product obey the demand equation below.
x= -4p+88, 0 less than or equals p less than or equals 22
​(a)
Express the revenue R as a function of x.
​(b)
What is the revenue if 68 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 ​$288 in​ revenue?

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

The price p and the quantity x sold of a certain product obey the demand equation below.
,


​(a)
Express the revenue R as a function of x.




​(b)
What is the revenue if 68 units are​ sold?




​(c)
What quantity x maximizes​ revenue? What is the maximum​ revenue?

is a quadratic with ,
max occurs at
max occurs at
​(d)
What price should the company charge to maximize​ revenue?
...max occurs at



the company should charge to maximize​ revenue
​(e)
What price should the company charge to earn at least ​$288 in​ revenue?








solutions:
or


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