Gmail2. Consider the following linear programming problem.NC STATEMMaximize 3x + 41 c…hinnt to the constraints1 of 70331pose12x – 8y < 1208x + 2y 2 40x + y < 20x > 0, y > 0.Mar 10, 2022, 8:58 AM275M(a)Construct the simplex tableau associated with the problem above. What is thehospital all of Monday, Febedfeasible solution associated with this tableau?zed(b)tableau. What is the feasible solution associated with this new tableau? Is it optimal? JustifyPerform one iteration of the simplex method, and write down the resulting simplexyour answer.or 19, 2022, 6:43 PMLO

Given- Consider the following linear programming problem. Maximize 3x + 4y subject to the costraints…

Answered: 2. 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: Max x1+2x2 s.t. x1+x2 <3 - x12x20 x21 x1, x20 a. Identify the feasible region. b. Are any of the constraints redundant? It yes, then identify the constraint that is redundant. c. Find all the extreme points - list the value of 1 and 2 at each extreme point. d. What is the optimal solution?
In solving maximization problem using simplex method, the optimum column is obtained by getting the column with A. smallest positive value in the Cj - Zj row variables. B. the largest positive value in the Cj - Zj row. C. zero value in the Cj - Zj row. D. the largest negative value in the Cj - Zj row.
M3
Set up the simplex matrix used to solve the linear programming problem. Assume all variables are nonnegative. Maximize f = 5x + 3y subject to 8х + 5y < 300 x + 4y < 225. S1 52 f first constraint second constraint objective function
Consider a linear programming problem with the following constraints. constraint 1: 12X1 + 33X2 <= 54 constraint 2: 2X1 + 35X2 <= 134 constraint 3: X1 >= 4 Find the intersection of constraint 2 and constraint 3. What is the value of X2 at this point? Answer to 2 decimal places) (Don't Hand writing in solution) .
Consider the following linear programming problem Min 8S 3M s.t. < 1,200,000 60,000 3,000 50S + 100M 5S 4M S, M, 2 0 a. Write the problem in standard form. b. Use a graph to show each constraint and the feasible region. C. Identify the optimal solution point on your graph. What are the values of S and M at the optimal solution? d. What is the optimal value of the objective function? e. What are the values of slack and surplus variables at the optimal solution? VI NAL
Solve the linear programming problem by the simplex method. Minimize 5x + y subject to the constraints shown on the right. The minimum value of Mis (Type integers or fractions.) which is attained for x = and y = x + y2 3 4x ≥ 11 x20, y20
Multiple choice: You were given the following mathematical statements: Maximize: 200x +150y; Subject to: x >= 2; 2y <= 6; 3x + 4y <= 10; and non-negativity condition, x >= 0 and y >= 0. Should the solution value for the first, second and third constraint amount to one (1), seven (7), and eleven (11), respectively, does it mean a valid optimal solution can be found? • No• Answer is not given• Cannot be determined• Yes
K (a). Write the linear programming problem as a maximization problem. Minimize -6x-2y+5z subject to the following constraints. 4x - 2y- 4z ≤ 3 7x6y+3z ≥ - 9 x≥0, y ≥0, z≥0 (b). Set up the Initial Simplex Tableau. Include labels on each of the columns. Nothing to enter for this problem
Solve the linear programming problem by the simplex method. Maximize 40x + 30y subject to the following constraints. X + y ≤ 7 + 3y = 12 yz0 - 2x x=0, The maximum value of M is which is attained for x = and y =

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