The monthly revenue R (in thousands of dollars) from the sales of a digital picture

Chapter 3, Problem 68

(choose chapter or problem)

Economics

The monthly revenue R (in thousands of dollars) from the sales of a digital picture frame is approximated by \(R(p)=-10 p^{2}+1580 p\), where p is the price per unit (in dollars).

(a) Find the monthly revenues for unit prices of $50, $70, and $90.

(b) Find the unit price that will yield a maximum monthly revenue.

(c) What is the maximum monthly revenue?

Text Transcription:

R(p)=-10p^{2}+1580p

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