Foo Enterprises produces specialty furniture for financial institutions. At the moment there is a high demand for two models of desks. The first model requires 15 hours of labour and 10 feet of wood to produce while 10 hours of labour and 15 feet of wood are needed to produce the second model. In planning the current week's production, the manager has 60 hours of labour and 60 feet of wood available. The net profit for the company is $25 for the first model and $30 for the second model. The company wants to produce quantities of the two models that will maximise profits. Use the simplex method to solve this linear programming problem.
Foo Enterprises produces specialty furniture for financial institutions. At the moment there is a high demand for two models of desks. The first model requires 15 hours of labour and 10 feet of wood to produce while 10 hours of labour and 15 feet of wood are needed to produce the second model. In planning the current week's production, the manager has 60 hours of labour and 60 feet of wood available. The net profit for the company is $25 for the first model and $30 for the second model. The company wants to produce quantities of the two models that will maximise profits. Use the simplex method to solve this linear programming problem.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Foo Enterprises produces specialty furniture for financial institutions. At the moment
there is a high demand for two models of desks. The first model requires 15 hours of
labour and 10 feet of wood to produce while 10 hours of labour and 15 feet of wood
are needed to produce the second model. In planning the current week's production,
the manager has 60 hours of labour and 60 feet of wood available. The net profit for
the company is $25 for the first model and $30 for the second model. The company
wants to produce quantities of the two models that will maximise profits. Use the
simplex method to solve this linear programming problem.
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