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Find the value(s) of the function on the given feasible region. Find the maximum and minimum of z = 6x +9y. 0,4) (0,5) (5/2, 5) (6.0) (10,0) x OA. 60, 36 OB. 57, 24 OC. -24,-57 OD. 36, 45

Find the value(s) of the function on the given feasible region. Find the maximum and minimum of z = 6x +9y. 0,4) (0,5) (5/2, 5) (6.0) (10,0) x OA. 60, 36 OB. 57, 24 OC. -24,-57 OD. 36, 45

Advanced Engineering Mathematics
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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**Problem Statement:** Find the value(s) of the function on the given feasible region. Determine the maximum and minimum of \( z = 6x + 9y \). **Diagram Explanation:** The diagram displays a graph with a shaded feasible region, defined by the vertices: - \((0, 5)\) - \((5/2, 5)\) - \((10, 0)\) - \((6, 0)\) The shaded area represents the feasible region for evaluating the function. **Choices:** - **A.** 60, 36 - **B.** 57, 24 - **C.** -24, -57 - **D.** 36, 45 **Instructions for Solution:** To find the maximum and minimum values of \( z = 6x + 9y \) within the feasible region, evaluate the function at each vertex: 1. Substitute each vertex coordinate into the equation \( z = 6x + 9y \). 2. Compare the resulting values to identify the maximum and minimum.
Transcribed Image Text:**Problem Statement:** Find the value(s) of the function on the given feasible region. Determine the maximum and minimum of \( z = 6x + 9y \). **Diagram Explanation:** The diagram displays a graph with a shaded feasible region, defined by the vertices: - \((0, 5)\) - \((5/2, 5)\) - \((10, 0)\) - \((6, 0)\) The shaded area represents the feasible region for evaluating the function. **Choices:** - **A.** 60, 36 - **B.** 57, 24 - **C.** -24, -57 - **D.** 36, 45 **Instructions for Solution:** To find the maximum and minimum values of \( z = 6x + 9y \) within the feasible region, evaluate the function at each vertex: 1. Substitute each vertex coordinate into the equation \( z = 6x + 9y \). 2. Compare the resulting values to identify the maximum and minimum.
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Step 1

Given that the shaded portion is required  feasible region with the corner points6,0,10,0,52,5,0,5,0,4

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