Solve please **Linear Programming Problem Setup for Seed Mix**- **Variables:** - Let $ A $ = the pounds of Type A seed in the blend - Let $ B $ = the pounds of Type B seed in the blend- **Instructions:** - For the constraints, in the last field, include the sign of the constraint and the RHS value (e.g., $\leq 600$)- **Objective Function:** - Define your objective function in the box corresponding to $ A $ and $ B $ values.- **Constraints:** - Input constraints for the blend using the form: $ A + $ (coefficient for $ B $) $ B $ - Each line starts with $ A + $ and ends with $ B $, followed by constraint sign and value. - **Submission:** - Click "Save and Submit" to save and submit your answers. - Use "Click Save All Answers" to save all entries.This setup allows you to define and solve a linear programming problem involving a mix of two types of seeds, considering the given constraints and objective. **Formulating a Linear Programming Problem for Grass Seed Blends**The Mystic Outdoor Shop creates a blend from two types of grass seed. Each type is rated per pound based on shade tolerance, traffic resistance, and drought resistance, as detailed in the table below. The cost per pound for Type A seed is $1, while Type B costs $2. The blend must achieve at least 300 points for shade tolerance, 500 points for traffic resistance, and 680 points for drought resistance. The problem is to determine how many pounds of each seed type should be included in the blend and calculate the total cost.| | Type A | Type B ||---------------|--------|--------|| Shade Tolerance | 2 | 2 || Traffic Resistance | 1 | 3 || Drought Resistance | 3 | 4 |Let $ A $ be the pounds of Type A seed in the blend and $ B $ be the pounds of Type B seed in the blend.**Constraints:**1. Shade Tolerance: $ 2A + 2B \geq 300 $2. Traffic Resistance: $ A + 3B \geq 500 $3. Drought Resistance: $ 3A + 4B \geq 680 $**Objective Function:**Minimize Cost: $ C = A + 2B $**Note:** When setting up constraints, ensure that the inequality sign (≥) and right-hand side values (RHS) are clearly indicated. For example, a constraint might be expressed as $ \leq 600 $.

Name: Solve please **Linear Programming Problem Setup for Seed Mix**- **Vari
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Description: Solve please **Linear Programming Problem Setup for Seed Mix**- **Variables:** - Let $ A $ = the pounds of Type A seed in the blend - Let $ B $ = the pounds of Type B seed in the blend- **Instructions:** - For the constraints, in the last fiel

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The Mystic Outdoor Shop mixes two types of grass seed into a blend. Each type of grass has been rated (per pound) according to its shade tolerance, ability to stand up to traffic, and drought resistance, as shown in the table. Type A seed costs $1 and Type B seed costs $2. If the blend needs to score at least 300 points for shade tolerance, 500 points for traffic resistance, and 680 points for drought resistance, how many pounds of each seed should be in the blend? How much will the blend cost? Formulate the Linear Programming Problem that can be used to answer these questions. Туре А Туре В Shade Tolerance 2 Traffic Resistance 1 13 Drought Resistance 4. Let A = the pounds of Type A seed in the blend Let B = the pounds of Type B seed in the blend Note: for the constraints, in the last field you need to include the sign of the constraint and the RHS value (for example: <=600) Objective Function A+ B A+ s.t. B A+ B A+

The Mystic Outdoor Shop mixes two types of grass seed into a blend. Each type of grass has been rated (per pound) according to its shade tolerance, ability to stand up to traffic, and drought resistance, as shown in the table. Type A seed costs $1 and Type B seed costs $2. If the blend needs to score at least 300 points for shade tolerance, 500 points for traffic resistance, and 680 points for drought resistance, how many pounds of each seed should be in the blend? How much will the blend cost? Formulate the Linear Programming Problem that can be used to answer these questions. Туре А Туре В Shade Tolerance 2 Traffic Resistance 1 13 Drought Resistance 4. Let A = the pounds of Type A seed in the blend Let B = the pounds of Type B seed in the blend Note: for the constraints, in the last field you need to include the sign of the constraint and the RHS value (for example: <=600) Objective Function A+ B A+ s.t. B A+ B A+

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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**Linear Programming Problem Setup for Seed Mix**

- **Variables:**
- Let $ A $ = the pounds of Type A seed in the blend
- Let $ B $ = the pounds of Type B seed in the blend

- **Instructions:**
- For the constraints, in the last field, include the sign of the constraint and the RHS value (e.g., $\leq 600$)

- **Objective Function:**
- Define your objective function in the box corresponding to $ A $ and $ B $ values.

- **Constraints:**
- Input constraints for the blend using the form: $ A + $ (coefficient for $ B $) $ B $
- Each line starts with $ A + $ and ends with $ B $, followed by constraint sign and value.

- **Submission:**
- Click "Save and Submit" to save and submit your answers.
- Use "Click Save All Answers" to save all entries.

This setup allows you to define and solve a linear programming problem involving a mix of two types of seeds, considering the given constraints and objective.

**Formulating a Linear Programming Problem for Grass Seed Blends**

The Mystic Outdoor Shop creates a blend from two types of grass seed. Each type is rated per pound based on shade tolerance, traffic resistance, and drought resistance, as detailed in the table below. The cost per pound for Type A seed is $1, while Type B costs $2. The blend must achieve at least 300 points for shade tolerance, 500 points for traffic resistance, and 680 points for drought resistance. The problem is to determine how many pounds of each seed type should be included in the blend and calculate the total cost.

| | Type A | Type B |
|---------------|--------|--------|
| Shade Tolerance | 2 | 2 |
| Traffic Resistance | 1 | 3 |
| Drought Resistance | 3 | 4 |

Let $ A $ be the pounds of Type A seed in the blend and $ B $ be the pounds of Type B seed in the blend.

**Constraints:**

1. Shade Tolerance: $ 2A + 2B \geq 300 $
2. Traffic Resistance: $ A + 3B \geq 500 $
3. Drought Resistance: $ 3A + 4B \geq 680 $

**Objective Function:**

Minimize Cost: $ C = A + 2B $

**Note:** When setting up constraints, ensure that the inequality sign (≥) and right-hand side values (RHS) are clearly indicated. For example, a constraint might be expressed as $ \leq 600 $.

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