SOLUTION: The price, 𝑝, in dollars, and the quantity, 𝑥, sold of a certain product obey the demand equation
𝑝(𝑥) = −15𝑥 + 250
a) Find a model
Algebra.Com
Question 1125263: The price, 𝑝, in dollars, and the quantity, 𝑥, sold of a certain product obey the demand equation
𝑝(𝑥) = −15𝑥 + 250
a) Find a model that expresses the revenue, 𝑅, as a function of 𝑥
b) What is the revenue if 150 products are sold
c) What quantity 𝑥 maximize the revenue?
d) What is the maximum revenue?
e) What price should the company charge to maximize revenue?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Revenue is simply price times quantity sold. So the Revenue as a function of 
is:
\ =\ x\cdot p(x)\ =\ -15x^2\ +\ 250x)
John
My calculator said it, I believe it, that settles it
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