Consider the following linear programming problem:Min Z =7x1 + 5x2Subject to:4x1 + 3x2 > 2002x1 + x2 ≥ 70X1, X2 ≥ 0optimal pointO 5.25O 3.5X2AO 6.5706766.67O 5.5DO None of the aboveconstraint 2B (5, 60)35What is the upper limit of the second coefficient of theobjective function (c₂)?FeasibleAreaC47.5 50objective functionconstraint 1X₁

Answered: Image /qna-images/answer/1bd9be2b-130a-4820-b575-7336434c506e.jpg

Answered: Consider the following linear…

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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Consider the following linear programming problem Minimize Z=5X1+6X2+3X3 Subject to 5x1+5x2+3x3>=50 x1+x2-x3=20 7X1+6X2-9X3>=30 5x1+5x2+5x3>=35 2x1+4x2-15x3>=10 12x1+10x2>=90 x2-10x3>=20 X1, X2, X3 >=0 In an Excel workbook, solve the problem by using the Solver. Generate the Solver sensitivity and answer reports. In this Word document, write the mathematical formulation of the dual problem. Generate a sensitivity report of the dual problem. Solve the dual problem in another sheet of the same Excel file. In this Word document, describe whether the solution of the dual problem offers a computational advantage and explain why. Submit the Excel workbook as a separate attachment.
Solve the following linear program graphically:Minimize C = - 2X1 + 3X2Subject to X1 + X2 > 5 ---------- (1) (restriction A)X1 < 8 ---------- (2) (resource B)X2 < 3 ---------- (3) (resource C)3X1 + 9X2 < 27 ---------- (4) (resource D)Where X1, X2 > 0 5. Christy Crafty Boat Supplies has 250 yards of canvas to make sails and deck covers.There are 205 hours of labor available. The following data apply:Profit Canvas LaborSail $50 35 yards 10 hoursDeck Cover $65 10 yards 15 hoursHow many of each should be made to maximize profit?
Consider the following linear program in standard form: minimize c'x (P) subject to Ax = b x >= 0 write another linear prorgram P' such that every feasible solution of P' is an optimal solution for P
Consider the following linear programming problem: Maximize 12X + 10YSubject to: 4X + 3Y ≤ 4802X + 3Y ≤ 360all variables ≥0
Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 4x1 + 6x2 ≤ 30 1x1 + 7x2 ≤ 21 2x1 + 1x2 ≤ 13 x1, x2 ≥ 0 and integer
Consider the following linear program. Maximize 30X + 10Y Subject to: 3X + Y ≤ 300 X + Y ≤ 200 X ≤ 100 Y ≥ 50 X,Y ≥ 0 Which of these is NOT a corner point of the feasible region? (75,50) (50,150) (50,50) (0,50)
Solve the following mixed integer linear programming using branch and bound method maximize z = 5x1+6x2+4x3 subject to :5x1+3x2+6x3<=20 X1+3x2<=12 x1,x3>=0 x2>=0 and integer
The following linear programming problem will be used to answer this question AND the next one:Minimize C = 3x + 4ysubject to2x + y ≥ 100x + 3y ≥ 120x ≥ 0, y ≥ 0Which of the following statements is true? A. The feasible region is unbounded, and a corner point is (120, 0). B. The feasible region is bounded, and a corner point is (36, 28). C. The feasible region is bounded, and a corner point is (0, 100). D. The feasible region is unbounded, and a corner point is (0, 40). E. The feasible region is unbounded, and a corner point is (50, 0).
Consider the following linear program : z = 6x1 + 6x2 + 10x3 → min s.t. 4x1 + 3x2 + 2x3 ≥ 16 x1 + 2x2 + 5x3 ≥ 16 x1, x2, x3 ≥ 0 a) a) Build the dual problem corresponding to the given problem! b) Solve the dual problem graphically! Determine the exact coordinates by computing the intersection point of two appropriate lines! c) Conclude for the solution (objective and variables) of the primal problem by using the complementary slackness conditions.
The following linear programming problem will be used to answer this question AND the next one:Minimize C = 3x + 4ysubject to2x + y ≥ 100x + 3y ≥ 120x ≥ 0, y ≥ 0Which of the following statements is true? A. The feasible region is unbounded, and a corner point is (120, 0). B. The feasible region is bounded, and a corner point is (36, 28). C. The feasible region is unbounded, and a corner point is (0, 40). D. The feasible region is bounded, and a corner point is (0, 100). E. The feasible region is unbounded, and a corner point is (50, 0). 2. The optimal value of the objective function from the previous question is A. 160 B. 150 C. 220 D. 400 E. 360
construct the initial simplex tableau for the linear programming as follows: minimize z = 4x1 + 2x2 x1- x2 ≤ 150 -x1+ x2 ≤ 150 x1 +x2 ≥ 100 x1 +x2 ≤ 350 x1 + x2 ≥ 200 x1,x2 ≥ 0
Consider the following linear program: Max Z = -4x1 + 2x2 Subject To: -2x1 + 2x2 ≤ 7 x1 ≥ 2 x1 - 4x2 ≤ 0 2x1 + 2x2 ≥ 10 x1, x2 ≥ 0 Part A: Write the LP in standard equality form. Part B: Solve the original LP graphically (to scale). Clearly identify the feasible region and, if one or more exist, the optimal solution(s) (provide exact values for x1, x2, and Z).

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