Implement the following LP problem in a spreadsheet. Use Solver to solve the problem and create a Sensitivity Report. Use this information to answer the following questions: MAX: 4X₁ + 3X₂ Subject to: 2X₁ + 4X₂ ≤ 20 3X₁ +5X₂ ≤ 15 X₁, X₂ 20
Implement the following LP problem in a spreadsheet. Use Solver to solve the problem and create a Sensitivity Report. Use this information to answer the following questions: MAX: 4X₁ + 3X₂ Subject to: 2X₁ + 4X₂ ≤ 20 3X₁ +5X₂ ≤ 15 X₁, X₂ 20
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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![Implement the following Linear Programming (LP) problem in a spreadsheet. Use Solver to solve the problem and create a Sensitivity Report. Use this information to answer the following questions:
**Objective Function:**
\[
\text{MAX: } 4X_1 + 3X_2
\]
**Constraints:**
\[
\begin{align*}
2X_1 + 4X_2 & \leq 20 \\
3X_1 + 5X_2 & \leq 15 \\
X_1, X_2 & \geq 0 \\
\end{align*}
\]
**Question:**
(a) What range of values can the objective function coefficient for variable \(X_1\) assume without changing the optimal solution? (If there is no limit on how much the coefficient can increase or decrease, enter ∞.)
**Answer Template:**
The objective function coefficient for variable \(X_1\) can decrease by [______] or increase by [______] without changing the optimal solution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75aba0b8-0904-4c07-bb36-b89ccd971efc%2F78deb1af-6dff-4b56-8ee6-585ff80edcd2%2Fqk4qrz_processed.png&w=3840&q=75)
Transcribed Image Text:Implement the following Linear Programming (LP) problem in a spreadsheet. Use Solver to solve the problem and create a Sensitivity Report. Use this information to answer the following questions:
**Objective Function:**
\[
\text{MAX: } 4X_1 + 3X_2
\]
**Constraints:**
\[
\begin{align*}
2X_1 + 4X_2 & \leq 20 \\
3X_1 + 5X_2 & \leq 15 \\
X_1, X_2 & \geq 0 \\
\end{align*}
\]
**Question:**
(a) What range of values can the objective function coefficient for variable \(X_1\) assume without changing the optimal solution? (If there is no limit on how much the coefficient can increase or decrease, enter ∞.)
**Answer Template:**
The objective function coefficient for variable \(X_1\) can decrease by [______] or increase by [______] without changing the optimal solution.
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