To find: Units produced each day to yield a minimum cost.
Answer to Problem 10RE
Units produced each day to yield a minimum cost is 1091 units.
Explanation of Solution
Given:
Daily production cost=
The production cost is given by a quadratic function which is opening upwards. This can be observed by noting the value of coefficient of highest degree which is positive. So, let's find the minimum values of such functions.
This can be found by differentiating and equation it to 0. So, differentiating and equating it to 0,
Let’s equate it to 0. So,
So, the answer has to round off because in terms of units which can only be in whole numbers. So take the largest integer possible because it is more near to the value. Therefore, the answer is 1091 units.
Chapter 2 Solutions
EBK PRECALCULUS W/LIMITS
- 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