OA. The maximum value is B. The maximum value does not exist. Select the correct choice below and, if necessary, complete your choice. A. The minimum value is OB. The minimum value does not exist.

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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The graph shows a region of feasible solutions. Use this region to find the maximum and minimum values of the objective function.

Objective Function: \( z = 5x + 4y \)

**Instructions:**

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

- **A.** The maximum value is \(\_\_\_\_\).
- **B.** The maximum value does not exist.

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

- **A.** The minimum value is \(\_\_\_\_\).
- **B.** The minimum value does not exist.

**Graph Description:**

On the right, there is a graph with a blue triangular region representing feasible solutions. The x-axis and y-axis range from 0 to 10. The coordinates of the corner points of the triangle are labeled as (1,2), (4,9), (7,7), and (9,4).

These corner points are the vertices of the feasible region. To determine the maximum and minimum values of the objective function \( z = 5x + 4y \), evaluate \( z \) at each of these vertices.
Transcribed Image Text:The graph shows a region of feasible solutions. Use this region to find the maximum and minimum values of the objective function. Objective Function: \( z = 5x + 4y \) **Instructions:** Select the correct choice below and, if necessary, fill in the answer box to complete your choice. - **A.** The maximum value is \(\_\_\_\_\). - **B.** The maximum value does not exist. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. - **A.** The minimum value is \(\_\_\_\_\). - **B.** The minimum value does not exist. **Graph Description:** On the right, there is a graph with a blue triangular region representing feasible solutions. The x-axis and y-axis range from 0 to 10. The coordinates of the corner points of the triangle are labeled as (1,2), (4,9), (7,7), and (9,4). These corner points are the vertices of the feasible region. To determine the maximum and minimum values of the objective function \( z = 5x + 4y \), evaluate \( z \) at each of these vertices.
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