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Solve the given Linear Programming Problems using graphical method. A company is producing two products, cabinets, and chairs. Each of these passes through cutting and assembly processes. A cabinet requires 4hrs in the cutting and 2 hours in the assembly. A chair requires 2hrs in the cutting and 6hrs in the assembly. There are at most 600 cutting hours per week and at most 480 assembly hours per week. A cabinet contributes Php800 profit while a chair contributes Php600. How many cabinets and chairs should the company produce to maximize its profit? 1. Summarize details thru the given table 2. Objective Function: Constraints: 3. Graph the constraints (solution must include the coordinates of each constraint, and the final graph with shaded feasible region) Note: draw the final graph only 4. Identify the corner points or vertices of the feasible region. Show your solution if necessary. 5. Solve for the objective function at each corner point. Vertices Objective Function: 6. Determine the corner point that gives the maximum value and come up with a decision.

Solve the given Linear Programming Problems using graphical method. A company is producing two products, cabinets, and chairs. Each of these passes through cutting and assembly processes. A cabinet requires 4hrs in the cutting and 2 hours in the assembly. A chair requires 2hrs in the cutting and 6hrs in the assembly. There are at most 600 cutting hours per week and at most 480 assembly hours per week. A cabinet contributes Php800 profit while a chair contributes Php600. How many cabinets and chairs should the company produce to maximize its profit? 1. Summarize details thru the given table 2. Objective Function: Constraints: 3. Graph the constraints (solution must include the coordinates of each constraint, and the final graph with shaded feasible region) Note: draw the final graph only 4. Identify the corner points or vertices of the feasible region. Show your solution if necessary. 5. Solve for the objective function at each corner point. Vertices Objective Function: 6. Determine the corner point that gives the maximum value and come up with a decision.

Advanced Engineering Mathematics
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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Solve the given Linear Programming Problems using graphical method. A company is producing two products, cabinets, and chairs. Each of these passes through cutting and assembly processes. A cabinet requires 4hrs in the cutting and 2 hours in the assembly. A chair requires 2hrs in the cutting and 6hrs in the assembly. There are at most 600 cutting hours per week and at most 480 assembly hours per week. A cabinet contributes Php800 profit while a chair contributes Php600. How many cabinets and chairs should the company produce to maximize its profit? 1. Summarize details thru the given table 2. Objective Function: Constraints: 3. Graph the constraints (solution must include the coordinates of each constraint, and the final graph with shaded feasible region) Note: draw the final graph only 4. Identify the corner points or vertices of the feasible region. Show your solution if necessary. 5. Solve for the objective function at each corner point. Objective Function: Vertices 6. Determine the corner point that gives the maximum value and come up with a decision.
Transcribed Image Text:Solve the given Linear Programming Problems using graphical method. A company is producing two products, cabinets, and chairs. Each of these passes through cutting and assembly processes. A cabinet requires 4hrs in the cutting and 2 hours in the assembly. A chair requires 2hrs in the cutting and 6hrs in the assembly. There are at most 600 cutting hours per week and at most 480 assembly hours per week. A cabinet contributes Php800 profit while a chair contributes Php600. How many cabinets and chairs should the company produce to maximize its profit? 1. Summarize details thru the given table 2. Objective Function: Constraints: 3. Graph the constraints (solution must include the coordinates of each constraint, and the final graph with shaded feasible region) Note: draw the final graph only 4. Identify the corner points or vertices of the feasible region. Show your solution if necessary. 5. Solve for the objective function at each corner point. Objective Function: Vertices 6. Determine the corner point that gives the maximum value and come up with a decision.
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