Given the following 2 constraints, which solution is a feasible solution for a maximization problem?(1) 7 x1 + 3 x2 s 21(2) x1 - x2 s 3O (x1, x2) - (2, 1)O x1. x2) - (5, 1)O (x1, x2) - (4, 4)O (x1, x2) - (1, 5)

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Answered: Given the following 2 constraints,…

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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QUESTION 14 Calculate the maximum value of 4x + 6y subject to the constraints below: 3x + y ≤ 16 x + 3y ≤ 16 y≥ 1 x ≥ 0
2 2. (10 pts) Consider the product XY where x and y are positive numbers which 2, must sum to six (6). Find the maximum value of xy under this contraint. a. Write the constraint equation. b. Use the equation in (a) to write the objective function in terms of the variable x. C. Apply the necessary calculus to solve the problem. Be sure to include a verification step, i.e. why your solution is the maximum. Also, give the maximum value.
Question 29 Maximize 2x1 + 4x2 subject to x1 + 3x₂ �� 12 2x1 + x₂ ≤ 14 120 and ₂ > 0 Using simplex method by introducing slack variables 3 and 4, and M = 2x1 + 4x2, now the inequalities are changed to equations x1 + 3x2 + x3 = 12 (1) 2x1 + x₂ + x4 = 14 (2) 2x14x2 M = 0 (3) To bring 1 and 2 into the solution, which one (1 or 2) is firstly brought into the solution and which equation is used as the pivot equation. O1 and (2) O #2 and (3) O2 and (2) O #1 and (1) O2 and (1)

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Given the following 2 constraints, which solution is a feasible solution for a maximization problem? (1) 7 x1 + 3 x2 s 21 (2) x1 - x2 s 3 O (x1, x2) - (2, 1) O x1. x2) - (5, 1) O x1, x2) - (4, 4) O (x1, x2) - (1, 5)