Jesaki Furniture Company 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 22 tables and 61 chairs, while plant B can produce the lumber required to manufacture 28 tables and 51 chairs. In this production run, the company needs enough lumber to manufacture at least 440 tables and 830 chairs. It costs $875 per day to operate plant A and $850 per day to operate plant B. The company needs to produce

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Jesaki Furniture Company 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 22 tables and 61 chairs, while plant B can produce the lumber required to manufacture 28 tables and 51 chairs. In this production run, the company needs enough lumber to manufacture at least 440 tables and 830 chairs. It costs $875 per day to operate plant A and $850 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 Find the objective function C
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