# Homework: 7.4 Homework ## Linear Programming Problem Solve the linear programming problem using the simplex method. ### Objective: Maximize \( z = 2x_1 + 3x_2 \) subject to: ### Constraints: 1. \( 5x_1 + x_2 \leq 60 \) 2. \( 3x_1 + 2x_2 \leq 80 \) 3. \( x_1 + x_2 \leq 70 \) 4. \( x_1, x_2 \geq 0 \) ### Solution Options: Select the correct choice below and, if necessary, fill in the answer box to complete your choice. - **A.** The maximum is \( z = \) [_____] when \( x_1 = \) [_____], \( x_2 = \) [_____], \( s_1 = \) [_____], \( s_2 = \) [_____], and \( s_3 = \) [_____]. - **B.** There is no maximum solution for this linear programming problem. ### Interaction: Options to assist with solving this problem are available: - **Help Me Solve This** - **View an Example** - **Get More Help** **Note:** Ensure correct inputs and apply the simplex method for solving this linear program effectively.
# Homework: 7.4 Homework ## Linear Programming Problem Solve the linear programming problem using the simplex method. ### Objective: Maximize \( z = 2x_1 + 3x_2 \) subject to: ### Constraints: 1. \( 5x_1 + x_2 \leq 60 \) 2. \( 3x_1 + 2x_2 \leq 80 \) 3. \( x_1 + x_2 \leq 70 \) 4. \( x_1, x_2 \geq 0 \) ### Solution Options: Select the correct choice below and, if necessary, fill in the answer box to complete your choice. - **A.** The maximum is \( z = \) [_____] when \( x_1 = \) [_____], \( x_2 = \) [_____], \( s_1 = \) [_____], \( s_2 = \) [_____], and \( s_3 = \) [_____]. - **B.** There is no maximum solution for this linear programming problem. ### Interaction: Options to assist with solving this problem are available: - **Help Me Solve This** - **View an Example** - **Get More Help** **Note:** Ensure correct inputs and apply the simplex method for solving this linear program effectively.
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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![# Homework: 7.4 Homework
## Linear Programming Problem
Solve the linear programming problem using the simplex method.
### Objective:
Maximize \( z = 2x_1 + 3x_2 \) subject to:
### Constraints:
1. \( 5x_1 + x_2 \leq 60 \)
2. \( 3x_1 + 2x_2 \leq 80 \)
3. \( x_1 + x_2 \leq 70 \)
4. \( x_1, x_2 \geq 0 \)
### Solution Options:
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
- **A.** The maximum is \( z = \) [_____] when \( x_1 = \) [_____], \( x_2 = \) [_____], \( s_1 = \) [_____], \( s_2 = \) [_____], and \( s_3 = \) [_____].
- **B.** There is no maximum solution for this linear programming problem.
### Interaction:
Options to assist with solving this problem are available:
- **Help Me Solve This**
- **View an Example**
- **Get More Help**
**Note:** Ensure correct inputs and apply the simplex method for solving this linear program effectively.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc9ef355a-fb22-427b-b06e-27c19f3d746c%2F1e262f42-4aee-453c-b1bc-7937c3bfc90d%2Fur0e9t.jpeg&w=3840&q=75)
Transcribed Image Text:# Homework: 7.4 Homework
## Linear Programming Problem
Solve the linear programming problem using the simplex method.
### Objective:
Maximize \( z = 2x_1 + 3x_2 \) subject to:
### Constraints:
1. \( 5x_1 + x_2 \leq 60 \)
2. \( 3x_1 + 2x_2 \leq 80 \)
3. \( x_1 + x_2 \leq 70 \)
4. \( x_1, x_2 \geq 0 \)
### Solution Options:
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
- **A.** The maximum is \( z = \) [_____] when \( x_1 = \) [_____], \( x_2 = \) [_____], \( s_1 = \) [_____], \( s_2 = \) [_____], and \( s_3 = \) [_____].
- **B.** There is no maximum solution for this linear programming problem.
### Interaction:
Options to assist with solving this problem are available:
- **Help Me Solve This**
- **View an Example**
- **Get More Help**
**Note:** Ensure correct inputs and apply the simplex method for solving this linear program effectively.
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