1. A fast food restaurant has determined that the monthly demand for its hamburgers is given by: Р 60,000-x 20,000 and the cost of producing x hamburgers is given by: C(x) = 5000+ 0.56x 0≤x≤ 50,000 a) Find the profit and marginal profit for producing 20,000 hamburgers b) Find the profit and marginal profit for producing 30,000 hamburgers

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
Question

1. A fast food restaurant has determined that the monthly demand for its hamburgers is given by:
Р
60,000-x
20,000
and the cost of producing x hamburgers is given by:
C(x) = 5000+ 0.56x 0≤x≤ 50,000
a) Find the profit and marginal profit for producing 20,000 hamburgers
b) Find the profit and marginal profit for producing 30,000 hamburgers
2. The demand function for a product is modeled by:
500
р
x+2
a) Determine the elasticity function, E (p).
b) Is the demand elastic, inelastic or unitary when the level of production is x = 23 units?
Transcribed Image Text:1. A fast food restaurant has determined that the monthly demand for its hamburgers is given by: Р 60,000-x 20,000 and the cost of producing x hamburgers is given by: C(x) = 5000+ 0.56x 0≤x≤ 50,000 a) Find the profit and marginal profit for producing 20,000 hamburgers b) Find the profit and marginal profit for producing 30,000 hamburgers 2. The demand function for a product is modeled by: 500 р x+2 a) Determine the elasticity function, E (p). b) Is the demand elastic, inelastic or unitary when the level of production is x = 23 units?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
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