A designer apparel company produces a line sunglasses for its new season. The revenue function is modeled by the function R(x) below, where p is the price for each pair of sunglasses. R(p) - 3p + 1374p – 13000. a) How much money did this company put in at the start to produce these sunglasses? (In other words, what they spent before selling any sunglasses or making any profits off of them.) $ b) What is the lowest price the company has to sell each pair of sunglasses for in order to break even (in other words, to not lose money but also not make any money)? Round your answer to the nearest penny. $4 c) At what price should the company sell sunglasses to maximize their revenue? d) How much in total revenue will the company make on these sunglasses at this optimal price?

A designer apparel company produces a line sunglasses for its new season. The revenue function is modeled by the function R(x) below, where p is the price for each pair of sunglasses. R(p) - 3p + 1374p – 13000. a) How much money did this company put in at the start to produce these sunglasses? (In other words, what they spent before selling any sunglasses or making any profits off of them.) $ b) What is the lowest price the company has to sell each pair of sunglasses for in order to break even (in other words, to not lose money but also not make any money)? Round your answer to the nearest penny. $4 c) At what price should the company sell sunglasses to maximize their revenue? d) How much in total revenue will the company make on these sunglasses at this optimal price?

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.1: Quadratic Functions

Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...

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