Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Yaster Wood has two plants that produce lumber used in manufacturing tables and chairs. In 1 day of operation, plant A can produce the lumber required to manufacture 24 tables and 59 chairs, while plant B can produce the lumber required to manufacture 27 tables and 54 chairs. In this production run, the company needs enough lumber to manufacture at least 540 tables and 930 chairs. It costs $935 per day to operate plant A and $980 per day to operate plant B. The company needs to produce sufficient lumber at a minimum cost.

Yaster Wood has two plants that produce lumber used in manufacturing tables and chairs. In 1 day of operation, plant A can produce the lumber required to manufacture 24 tables and 59 chairs, while plant B can produce the lumber required to manufacture 27 tables and 54 chairs. In this production run, the company needs enough lumber to manufacture at least 540 tables and 930 chairs. It costs $935 per day to operate plant A and $980 per day to operate plant B. The company needs to produce sufficient lumber at a minimum cost.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
See similar textbooks
icon
Related questions
Question

Question attached to the screenshot below thanks$$$$##

Yaster Wood has two plants that produce lumber used in manufacturing tables and chairs. In 1 day of operation, plant A can produce the lumber required to manufacture 24 tables and 59 chairs, while plant B can produce the lumber required to manufacture 27 tables and 54 chairs. In this production run, the company needs enough lumber to manufacture at least 540 tables and 930 chairs. It costs $935 per day to operate plant A and $980 per day to operate plant B. The company needs to produce sufficient lumber at a minimum cost. This can be set up as a linear programming problem where you minimize the operational cost C. Introduce the decision variables: x = number of days to use plant A y = number of days to use plant B Check all of the problem constraints. Note: The non-negative constraints are not included here. 59a + 54y > 930 24:x + 59y 2 935 O 27x + 24y > 540 27x + 54y < 980 24x + 27y 2 540 O 54x + 59y 2 930
Transcribed Image Text:Yaster Wood has two plants that produce lumber used in manufacturing tables and chairs. In 1 day of operation, plant A can produce the lumber required to manufacture 24 tables and 59 chairs, while plant B can produce the lumber required to manufacture 27 tables and 54 chairs. In this production run, the company needs enough lumber to manufacture at least 540 tables and 930 chairs. It costs $935 per day to operate plant A and $980 per day to operate plant B. The company needs to produce sufficient lumber at a minimum cost. This can be set up as a linear programming problem where you minimize the operational cost C. Introduce the decision variables: x = number of days to use plant A y = number of days to use plant B Check all of the problem constraints. Note: The non-negative constraints are not included here. 59a + 54y > 930 24:x + 59y 2 935 O 27x + 24y > 540 27x + 54y < 980 24x + 27y 2 540 O 54x + 59y 2 930
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS