To calculate:The cost of producing 100 items. The cost of producing one item is $562 and the marginal cost of producing
Answer to Problem 47E
The cost of producing 100 items is $742.08.
Explanation of Solution
Given information:
The marginal cost of producing
Formula used:
The function
Calculation:
Consider the marginal cost of producing
product is derivative of the cost of product.
Let cost of product is
Integrate the equation on both sides,
Apply the condition that cost of one item is $562,
Put the value of
So, the cost of producing
Thus,the cost of producing 100 items is $742.08.
Chapter 4 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning