Linear Programming: Graphical Method Formulate the LP problem, which includes the objective function and the constraints. Then solve. Use Desmos calculator to graph. A furniture company produces inexpensive tables and chairs. The production process for each is similar in that both require a certain number of hours of carpentry work and a certain number of labor hours in the painting department. Each table takes 4 hours of carpentry and 2 hours in the painting department. Each chair requires 3 hours of carpentry and 1 hour in the painting department. During the current production period, 240 hours of carpentry time are available and 100 hours in painting is available. Each table sold yields a profit of P600; each chair produced is sold for a $250 profit. Find the best combination of tables and chairs to manufacture in order to reach the maximum profit.
Linear Programming: Graphical Method Formulate the LP problem, which includes the objective function and the constraints. Then solve. Use Desmos calculator to graph. A furniture company produces inexpensive tables and chairs. The production process for each is similar in that both require a certain number of hours of carpentry work and a certain number of labor hours in the painting department. Each table takes 4 hours of carpentry and 2 hours in the painting department. Each chair requires 3 hours of carpentry and 1 hour in the painting department. During the current production period, 240 hours of carpentry time are available and 100 hours in painting is available. Each table sold yields a profit of P600; each chair produced is sold for a $250 profit. Find the best combination of tables and chairs to manufacture in order to reach the maximum profit.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 15E
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Transcribed Image Text:Linear Programming: Graphical Method
Formulate the LP problem, which includes the objective function and the constraints. Then
solve. Use Desmos calculator to graph.
A furniture company produces inexpensive tables and chairs. The production process for each is similar
in that both require a certain number of hours of carpentry work and a certain number of labor hours in
the painting department. Each table takes 4 hours of carpentry and 2 hours in the painting department.
Each chair requires 3 hours of carpentry and 1 hour in the painting department. During the current
production period, 240 hours of carpentry time are available and 100 hours in painting is available. Each
table sold yields a profit of P600; each chair produced is sold for a $250 profit. Find the best
combination of tables and chairs to manufacture in order to reach the maximum profit.
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