2. Suppose a company has fixed costs of $38, 400 and variable cost per unit of r + 333 dollars, where r is the total number of units produced. Suppose further that the selling price of its product is 1565 - r dollars per unit. (i) Write revenue as a fuction of r and expand it. (ii) Find the profit function. (iii) Find the break even points. Show how you find them. (iv) Find the level of sales that maximizes profit and find the maximum profit. v) What should be the price of a scooter to maximize the profit?

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...
icon
Related questions
Topic Video
Question

Help me solve this please! 

2. Suppose a company has fixed costs of $38, 400 and variable cost per unit of
r + 333 dollars, where r is the total number of units produced. Suppose further
that the selling price of its product is 1565 - r dollars per unit.
(i) Write revenue as a fumction of x and expand it.
(ii) Find the profit function.
(iii) Find the break even points. Show how you find them.
(iv) Find the level of sales that maximizes profit and find the maximum profit.
Yv) What should be the price of a scooter to maximize the profit?
3
Transcribed Image Text:2. Suppose a company has fixed costs of $38, 400 and variable cost per unit of r + 333 dollars, where r is the total number of units produced. Suppose further that the selling price of its product is 1565 - r dollars per unit. (i) Write revenue as a fumction of x and expand it. (ii) Find the profit function. (iii) Find the break even points. Show how you find them. (iv) Find the level of sales that maximizes profit and find the maximum profit. Yv) What should be the price of a scooter to maximize the profit? 3
Expert Solution
Step 1. Given data

Given data are :

Fixed cost=$38,400Variable cost=13x+333Selling price =1565-23x

 

where x is the total umber of units produced.

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 6 images

Blurred answer
Knowledge Booster
Data Collection, Sampling Methods, and Bias
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning