Demand The demand function for a product is given by p = 8,000(1-30-0.004x) where p is the price per unit (in dollars) and x is the number of units sold. (Round your answers to the nearest whole number.) (a) Find the number of units sold when p = $500. units (b) Find the number of units sold when p = $1,100. units Minimum Average Cost The cost of producing x units of a product is modeled by C= 240 + 75x - 360 In(x), X ≥ 1. (a) Find the average cost function C. C(x) = (b) Find the minimum average cost analytically. Use a graphing utility to confirm your result. (Round your answer to two decimal places.)

Demand The demand function for a product is given by p = 8,000(1-30-0.004x) where p is the price per unit (in dollars) and x is the number of units sold. (Round your answers to the nearest whole number.) (a) Find the number of units sold when p = $500. units (b) Find the number of units sold when p = $1,100. units Minimum Average Cost The cost of producing x units of a product is modeled by C= 240 + 75x - 360 In(x), X ≥ 1. (a) Find the average cost function C. C(x) = (b) Find the minimum average cost analytically. Use a graphing utility to confirm your result. (Round your answer to two decimal places.)

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.1: Quadratic Functions And Models

Problem 58E: Agriculture At a certain vineyard it is found that each grape vine produces about 10 lb of grapes in...

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