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L.P. Model: Maximize Subject to: Z= 1X + 10Y 4X+3Y ≤36 2X+4Y ≤ 40 1Y27 X,Y 20 (C₁) (C₂) (C3) 1.) Plot and label the constraints C₁, C₂ and C3 (using the line drawing tool) on the provided graph. 2.) Using the point drawing tool, plot the point that maximizes the objective function. The optimum solution is: X = Y = Optimal solution value Z = (round your response to two decimal places). (round your response to two decimal places). (round your response to two decimal places).

L.P. Model: Maximize Subject to: Z= 1X + 10Y 4X+3Y ≤36 2X+4Y ≤ 40 1Y27 X,Y 20 (C₁) (C₂) (C3) 1.) Plot and label the constraints C₁, C₂ and C3 (using the line drawing tool) on the provided graph. 2.) Using the point drawing tool, plot the point that maximizes the objective function. The optimum solution is: X = Y = Optimal solution value Z = (round your response to two decimal places). (round your response to two decimal places). (round your response to two decimal places).

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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### Linear Programming Model: #### Objective: Maximize \( Z = 1X + 10Y \) #### Subject to Constraints: 1. \( 4X + 3Y \leq 36 \) \quad \((C_1)\) 2. \( 2X + 4Y \leq 40 \) \quad \((C_2)\) 3. \( 1Y \geq 7 \) \quad \((C_3)\) Additionally, \(X, Y \geq 0\) ### Tasks: 1. Plot and label the constraints \(C_1\), \(C_2\), and \(C_3\) on the provided graph using the line drawing tool. 2. Using the point drawing tool, plot the point that maximizes the objective function. ### Solution: - The optimum solution is: - \(X = \_\_ \) (round your response to two decimal places). - \(Y = \_\_ \) (round your response to two decimal places). - Optimal solution value \(Z = \_\_ \) (round your response to two decimal places). ### Graph Description: - The graph is a grid with \(X\)-axis labeled from 0 to 22 and \(Y\)-axis labeled from 0 to 22. - Each axis has ticks incremented by 2. - The chart shows a plotted line as part of the constraint \(1Y \geq 7\), represented by a horizontal dotted line across \(Y = 7\).
Transcribed Image Text:### Linear Programming Model: #### Objective: Maximize \( Z = 1X + 10Y \) #### Subject to Constraints: 1. \( 4X + 3Y \leq 36 \) \quad \((C_1)\) 2. \( 2X + 4Y \leq 40 \) \quad \((C_2)\) 3. \( 1Y \geq 7 \) \quad \((C_3)\) Additionally, \(X, Y \geq 0\) ### Tasks: 1. Plot and label the constraints \(C_1\), \(C_2\), and \(C_3\) on the provided graph using the line drawing tool. 2. Using the point drawing tool, plot the point that maximizes the objective function. ### Solution: - The optimum solution is: - \(X = \_\_ \) (round your response to two decimal places). - \(Y = \_\_ \) (round your response to two decimal places). - Optimal solution value \(Z = \_\_ \) (round your response to two decimal places). ### Graph Description: - The graph is a grid with \(X\)-axis labeled from 0 to 22 and \(Y\)-axis labeled from 0 to 22. - Each axis has ticks incremented by 2. - The chart shows a plotted line as part of the constraint \(1Y \geq 7\), represented by a horizontal dotted line across \(Y = 7\).
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