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: * = number of days to use plant A y = number of days to use plant B
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: * = number of days to use plant A y = number of days to use plant B
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...
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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:
* = 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.
27x + 24y > 540
24x + 27y 540
27x + 54y < 980
59x + 54y > 930
24x + 59y 935
54x + 59y > 930
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