A company manufactures a units of one item and y units of another. The total cost in dollars, C, of producing these two items is approximated by the function C = 3x² + 2xy + 2y² + 800. (a) If the production quota for the total number of items (both types combined) is 42, find the minimum production cost. cost = (b) Estimate the additional production cost or savings if the production quota is raised to 43 or lowered to 41.
A company manufactures a units of one item and y units of another. The total cost in dollars, C, of producing these two items is approximated by the function C = 3x² + 2xy + 2y² + 800. (a) If the production quota for the total number of items (both types combined) is 42, find the minimum production cost. cost = (b) Estimate the additional production cost or savings if the production quota is raised to 43 or lowered to 41.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
Related questions
Question
T6
![A company manufactures a units of one item and y units of another. The total cost in dollars, C, of producing these two items is approximated by the function
C = 3x² + 2xy + 2y² + 800.
(a) If the production quota for the total number of items (both types combined) is 42, find the minimum production cost.
cost =
(b) Estimate the additional production cost or savings if the production quota is raised to 43 or lowered to 41.
production cost or savings =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb40b6873-57d9-434d-ac29-d6d174612f1c%2F5fe23e71-0234-44e4-b032-502b335646a1%2Fqqfpgw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A company manufactures a units of one item and y units of another. The total cost in dollars, C, of producing these two items is approximated by the function
C = 3x² + 2xy + 2y² + 800.
(a) If the production quota for the total number of items (both types combined) is 42, find the minimum production cost.
cost =
(b) Estimate the additional production cost or savings if the production quota is raised to 43 or lowered to 41.
production cost or savings =
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Intermediate Algebra](https://www.bartleby.com/isbn_cover_images/9780998625720/9780998625720_smallCoverImage.gif)
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)