An artist is planning to sell signed prints of her latest work if 50 prints are offered for sale, she can charge $600 each. However, if she makes more than 50 prints, she must lower the price of all the prints by $5 for each print in excess of the 50. That is, 51 prints reduce the price by $5, 52 prints reduce the price by $10, and so on. How many prints should the artist make to maximize her revenue? Let x be the number of prints and p the price per print. The demand equation is pand the revenue function is Ro

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter14: Monopolistic Competition And Product Differentiation
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An artist is planning to sell signed prints of her latest work. If 50 prints are offered for sale, she can charge $600 each. However, if she makes more than 50 prints, she must lower the price of all the prints
by $5 for each print in excess of the 50. That is, 51 prints reduce the price by $5, 52 prints reduce the price by $10, and so on. How many prints should the artist make to maximize her revenue?
Let x be the number of prints and p the price per print. The demand equation is p and the revenue function is ROX)
Transcribed Image Text:An artist is planning to sell signed prints of her latest work. If 50 prints are offered for sale, she can charge $600 each. However, if she makes more than 50 prints, she must lower the price of all the prints by $5 for each print in excess of the 50. That is, 51 prints reduce the price by $5, 52 prints reduce the price by $10, and so on. How many prints should the artist make to maximize her revenue? Let x be the number of prints and p the price per print. The demand equation is p and the revenue function is ROX)
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