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

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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.
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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