8 ## Linear Programming ProblemSolve the 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: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 = $ __(Simplify your answer. Type an integer or a fraction.)__- **B.** There is no minimum value of $ P $.

To find the minimum value of the LPP.

Minimize and maximize P=20x+10y Subject to 5x +9y2 78 5x + 2y ≤ 64 -x+y ≤ 4 x, y ≥ 0 at 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= (Simplify your answer. Type an integer or a fraction.) 3. There is no minimum value of P.

Minimize and maximize P=20x+10y Subject to 5x +9y2 78 5x + 2y ≤ 64 -x+y ≤ 4 x, y ≥ 0 at 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= (Simplify your answer. Type an integer or a fraction.) 3. There is no minimum value of P.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.8: Linear Programming

Problem 3SC: In Example 3, if the accountant earns a profit of 100 on each individual return and a profit of 175...

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Question

## Linear Programming Problem

Solve the 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:
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 = $ __(Simplify your answer. Type an integer or a fraction.)__
- **B.** There is no minimum value of $ P $.

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Follow-up Questions

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Follow-up Question

8b please answer the 2nd one

Solve the linear programming problem.
Minimize and maximize P = 20x+10y
Subject to
5x+9y ≥ 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.)
B. 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
(Type an ordered pair.)
B. There is no minimum value of P.

Solution

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