Heller Manufacturing has two production facilities that manufacture baseball gloves. Production costs at the two facilities differ because of varying labor rates, local property taxes, type of equipment, capacity, and so on. The Dayton plant has weekly costs that can be expressed i d as a a function of the number of gloves produced f TCD(X)=x²-x-4 where X is the weekly production volume in thousands of units and TCDX)Is the cost in thousands of dollars. The Hamiton plant's weekly production costs are given by TCH(Y) = y² + 2Y+8 where Y is the weekly production volume in thousands of units and TCH(Y) is the cost in thousands of dollars. Heller Manufacturing would like to produce 9,000 gloves per week at the lowest possible cost. (a) Formulate a mathematical model that can be used to determine the optimal number of gloves to produce each week at each facility. min st. =9 X, YZ0 (b) Use Excel Solver or LINGO to find the solution to your mathematical model to determine the optimal number of gloves to produce at each facility. What is the optimal solution value (in dotars)? at (X, Y)- n-([ Need Help?
Heller Manufacturing has two production facilities that manufacture baseball gloves. Production costs at the two facilities differ because of varying labor rates, local property taxes, type of equipment, capacity, and so on. The Dayton plant has weekly costs that can be expressed i d as a a function of the number of gloves produced f TCD(X)=x²-x-4 where X is the weekly production volume in thousands of units and TCDX)Is the cost in thousands of dollars. The Hamiton plant's weekly production costs are given by TCH(Y) = y² + 2Y+8 where Y is the weekly production volume in thousands of units and TCH(Y) is the cost in thousands of dollars. Heller Manufacturing would like to produce 9,000 gloves per week at the lowest possible cost. (a) Formulate a mathematical model that can be used to determine the optimal number of gloves to produce each week at each facility. min st. =9 X, YZ0 (b) Use Excel Solver or LINGO to find the solution to your mathematical model to determine the optimal number of gloves to produce at each facility. What is the optimal solution value (in dotars)? at (X, Y)- n-([ Need Help?
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
Transcribed Image Text:Heller Manufacturing has two production facilities that manufacture baseball gloves. Production costs at the two facilities differ because of varying labor rates, local property taxes, type of equipment,
capacity, and so on. The Dayton plant has weekly costs that can be expressed as a f
a function of the number of gloves produced
TCD(X)=x²-x*4
where x is the weekly production volume in thousands of units and TCDX)Is the cost in thousands of dollars. The Hamiton plant's weekly production costs are given by
TCH(Y) = y² + 2Y+8
where Y is the weekly production volume in thousands of units and TCH(Y) is the cost in thousands of dollars. Heller Manufacturing would like to produce 9,000 gloves per week at the lowest possible
cost.
(a) Formulate a mathematical model that can be used to determine the optimal number of gloves to produce each week at each facility.
min
st.
X, Y 20
(b) Use Excel Solver or LINGO to find the solution to your mathematical model to determine the optimal number of gloves to produce at each facility. What is the optimal solution value (in dollars)?
at (X, Y)-
-(C
Need Help?
Read!!
Expert Solution
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 2 steps with 2 images
Recommended textbooks for you
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning