Solve the linear programming problem. Minimize and maximize P=20x+10y Subject to 5x +9y2 78 5x + 2y ≤ 64 -x+y ≤ 4 x, y ≥ 0 What is the minimum value of P? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. P 130 (Simplify your answer. Type an integer or a fraction.) OB. There is no minimum value of P. What are the coordinates of the corner point where the minimum value of P occurs? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The coordinates are (3,7). (Type an ordered pair.) B. There is no minimum value of P. What is the maximum value of P? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. P= (Simplify your answer. Type an integer or a fraction.) B. There is no maximum value of P.
Solve the linear programming problem. Minimize and maximize P=20x+10y Subject to 5x +9y2 78 5x + 2y ≤ 64 -x+y ≤ 4 x, y ≥ 0 What is the minimum value of P? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. P 130 (Simplify your answer. Type an integer or a fraction.) OB. There is no minimum value of P. What are the coordinates of the corner point where the minimum value of P occurs? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The coordinates are (3,7). (Type an ordered pair.) B. There is no minimum value of P. What is the maximum value of P? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. P= (Simplify your answer. Type an integer or a fraction.) B. There is no maximum value of P.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
8c please answer the maximum value of P
![### Solving a Linear Programming Problem
**Objective:** Minimize and maximize \( P = 20x + 10y \)
**Subject to the constraints:**
1. \( 5x + 9y \geq 78 \)
2. \( 5x + 2y \leq 64 \)
3. \( -x + y \leq 4 \)
4. \( x, y \geq 0 \)
---
**Question 1:** What is the minimum value of \( P \)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
- \[ \circ \] **A. \( P = \underline{\phantom{space}} \) (Simplify your answer. Type an integer or a fraction.)**
\(\checkmark\) **A. \( P = 130 \) (Simplify your answer. Type an integer or a fraction.)**
- \(\circ\) **B. There is no minimum value of \( P \).**
**Question 2:** What are the coordinates of the corner point where the minimum value of \( P \) occurs? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
- \[ \circ \] **A. The coordinates are (\underline{\phantom{space}}, \underline{\phantom{space}}) (Type an ordered pair.)**
\(\checkmark\) **A. The coordinates are \( (3, 7) \) (Type an ordered pair)**
- \(\circ\) **B. There is no minimum value of \( P \).**
**Question 3:** What is the maximum value of \( P \)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
- \[ \circ \] **A. \( P = \underline{\phantom{space}} \) (Simplify your answer. Type an integer or a fraction.)**
- \[ \circ \] **B. There is no maximum value of \( P \).**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8df1a74e-b29a-4337-9f07-a3244c840179%2F4290cbb4-95f4-4b99-839e-83adc9559d53%2Fyxuo8w_processed.png&w=3840&q=75)
Transcribed Image Text:### Solving a Linear Programming Problem
**Objective:** Minimize and maximize \( P = 20x + 10y \)
**Subject to the constraints:**
1. \( 5x + 9y \geq 78 \)
2. \( 5x + 2y \leq 64 \)
3. \( -x + y \leq 4 \)
4. \( x, y \geq 0 \)
---
**Question 1:** What is the minimum value of \( P \)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
- \[ \circ \] **A. \( P = \underline{\phantom{space}} \) (Simplify your answer. Type an integer or a fraction.)**
\(\checkmark\) **A. \( P = 130 \) (Simplify your answer. Type an integer or a fraction.)**
- \(\circ\) **B. There is no minimum value of \( P \).**
**Question 2:** What are the coordinates of the corner point where the minimum value of \( P \) occurs? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
- \[ \circ \] **A. The coordinates are (\underline{\phantom{space}}, \underline{\phantom{space}}) (Type an ordered pair.)**
\(\checkmark\) **A. The coordinates are \( (3, 7) \) (Type an ordered pair)**
- \(\circ\) **B. There is no minimum value of \( P \).**
**Question 3:** What is the maximum value of \( P \)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
- \[ \circ \] **A. \( P = \underline{\phantom{space}} \) (Simplify your answer. Type an integer or a fraction.)**
- \[ \circ \] **B. There is no maximum value of \( P \).**
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Follow-up Question
8d whats are the coordinates of the corner point
![### Linear Programming Problem
**Objective:**
Solve the linear programming problem.
**Problem Statement:**
Minimize and maximize \( P = 20x + 10y \)
**Constraints:**
1. \( 5x + 9y \geq 78 \)
2. \( 5x + 2y \leq 64 \)
3. \( -x + y \leq 4 \)
4. \( x, y \geq 0 \)
**Questions and Answers:**
1. **What are the coordinates where the minimum value of P occurs?**
- Correct Choice: **A. The coordinates are \((3, 7)\).**
- \( \text{Type an ordered pair.} \)
2. **What is the maximum value of P?**
- Correct Choice: **A. \( P = 280 \)**
- \( \text{Simplify your answer. Type an integer or a fraction.} \)
3. **What are the coordinates of the corner point where the maximum value of P occurs?**
- Correct Choice: **A. The coordinates are \((3, 7)\).**
- \( \text{Type an ordered pair.} \)](https://content.bartleby.com/qna-images/question/8df1a74e-b29a-4337-9f07-a3244c840179/7865c056-9fe0-4f39-913c-9064052398e8/c71wqoh_thumbnail.png)
Transcribed Image Text:### Linear Programming Problem
**Objective:**
Solve the linear programming problem.
**Problem Statement:**
Minimize and maximize \( P = 20x + 10y \)
**Constraints:**
1. \( 5x + 9y \geq 78 \)
2. \( 5x + 2y \leq 64 \)
3. \( -x + y \leq 4 \)
4. \( x, y \geq 0 \)
**Questions and Answers:**
1. **What are the coordinates where the minimum value of P occurs?**
- Correct Choice: **A. The coordinates are \((3, 7)\).**
- \( \text{Type an ordered pair.} \)
2. **What is the maximum value of P?**
- Correct Choice: **A. \( P = 280 \)**
- \( \text{Simplify your answer. Type an integer or a fraction.} \)
3. **What are the coordinates of the corner point where the maximum value of P occurs?**
- Correct Choice: **A. The coordinates are \((3, 7)\).**
- \( \text{Type an ordered pair.} \)
Solution
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