The cost to produce to produce q electric cat brushes is described by the function.  C(q)=10q^2+250q where q is hundreds of units for volumes less then 2000.  The demand function for electric cat brushes is described by the function p (q)=-q^2-3q+1280 where represents price in dollars. A What are the company's marginal cost and marginal revenue functions? B Calculate the number of units thaat produce maximum profit.  what prices should the company charge and what is the maximum profit it will earn. C Find the company's functions for average cost per unit and determine the average cost per unit at the profit maximizing level of production.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The cost to produce to produce q electric cat brushes is described by the function.  C(q)=10q^2+250q where q is hundreds of units for volumes less then 2000.  The demand function for electric cat brushes is described by the function p (q)=-q^2-3q+1280 where represents price in dollars.

A What are the company's marginal cost and marginal revenue functions?

B Calculate the number of units thaat produce maximum profit.  what prices should the company charge and what is the maximum profit it will earn.

C Find the company's functions for average cost per unit and determine the average cost per unit at the profit maximizing level of production.

Please answer all parts of the question

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