x= - 7p+210 0

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 5ECP
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Solve c, d and e onlys.

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The price p (in dollars) and the quantity x sold of a certain product obey the demand equation.
x= - 7p+210 0<ps30
(a) Express the revenue Ras a function of p.
Rip) =-7p +210p
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
(b) What is the revenue if the price is $267
If the price is $26, the revenue is $728
(Simplify your answer.)
(c) What price p maximizes revenue? What is the maximum revenue?
The price p that maximizes revenue is $
(Simplity your answer)
The maimum revenue is S
(Simplify your answer)
(d) How manny units are sold at this price?
Ala price of $15,units are sold
(Simpity your answer)
(e) What price should the company charge to earm at least $1568 in revenue?
The company shoutd charge at least $ to at the most $i
(Simpity your answers)
to eam at least $1568 in revenue
Transcribed Image Text:The price p (in dollars) and the quantity x sold of a certain product obey the demand equation. x= - 7p+210 0<ps30 (a) Express the revenue Ras a function of p. Rip) =-7p +210p (Simplify your answer. Use integers or fractions for any numbers in the expression.) (b) What is the revenue if the price is $267 If the price is $26, the revenue is $728 (Simplify your answer.) (c) What price p maximizes revenue? What is the maximum revenue? The price p that maximizes revenue is $ (Simplity your answer) The maimum revenue is S (Simplify your answer) (d) How manny units are sold at this price? Ala price of $15,units are sold (Simpity your answer) (e) What price should the company charge to earm at least $1568 in revenue? The company shoutd charge at least $ to at the most $i (Simpity your answers) to eam at least $1568 in revenue
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