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Use graphical methods to solve the linear programming problem Minimize 2-4x+ 5y subject to 2x-4y 10, 2x+y2 15, xa 0, and y 20. OA Minimum of 30 when x-1 and y=7 OB. Minimum of 33 when x-7 and y=1 OC. Minimum of 75 when x-0 and y=15 OD. Minimum of 20 when x-5 and y=0

Use graphical methods to solve the linear programming problem Minimize 2-4x+ 5y subject to 2x-4y 10, 2x+y2 15, xa 0, and y 20. OA Minimum of 30 when x-1 and y=7 OB. Minimum of 33 when x-7 and y=1 OC. Minimum of 75 when x-0 and y=15 OD. Minimum of 20 when x-5 and y=0

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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### Linear Programming Problem **Objective:** Minimize the function z = 8x + 6y. **Subject to Constraints:** 1. 2x + 4y ≤ 18 2. 2x + y ≤ 10 3. x ≥ 1.5 4. y ≥ 2.0 ### Multiple-Choice Question: Which of the following options provides the minimum value of the objective function z given that the constraints are satisfied? - A. Minimum of 39 when x = 1 and y = 7 - B. Minimum of 35 when x = 7 and y = 1 - C. Minimum of 75 when x = 7 and y = 15 - D. Minimum of 20 when x = 5 and y = 0 Explain each of the options provided and select the correct one based on the given constraints and objective function.
Transcribed Image Text:### Linear Programming Problem **Objective:** Minimize the function z = 8x + 6y. **Subject to Constraints:** 1. 2x + 4y ≤ 18 2. 2x + y ≤ 10 3. x ≥ 1.5 4. y ≥ 2.0 ### Multiple-Choice Question: Which of the following options provides the minimum value of the objective function z given that the constraints are satisfied? - A. Minimum of 39 when x = 1 and y = 7 - B. Minimum of 35 when x = 7 and y = 1 - C. Minimum of 75 when x = 7 and y = 15 - D. Minimum of 20 when x = 5 and y = 0 Explain each of the options provided and select the correct one based on the given constraints and objective function.
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