please help! Transform the following linear program into a MAX and in a standard form: (DO...
1. Transform the following linear program into a MAX and in standard form: (DO NOT SOLVE) min z = -2x, + 3x, st. *; -3x, + 2x, S3 - x + 2x 22 *; urs, x, 20, x, 20
Consider the linear program max z = 5x, + 3x2 + xz st. x + x₂ + x₂ <6 5xı + 3x2 +6xz S15 X, X2, X, 20 and an associated tableau Z X1 X2 X3 S1 S2 RHS 1 0 0 5 0 1 15 0 0 0.4 -0.2 1 -0.2 3 0 1 0.6 1.2 0 0.2 3 (a) What basic solution does this tableau represent? Is this solution optimal? Why or why not? (b) Does this tableau...
28.If a linear program is in standard maximum form, which of the following can be a constraint? 3x+5ys-5 x+y-4 7x+12y 2 0 2x-4ys9 4x-8y 2 1 ONone of the above. 29.A certain number of steps of the simplex method results in the following simplex tableau. 0 3 20 0 1 0 0 0 2 7 0 1 0 13 4 0 0 5 8 0 0 20 0 0 1 2 3 0 1 93 What is the next step...
Problem #7: Consider the linear program st. max z = 5x, + 3x2 + xz x + x2 + x3 56 5x2 + 3x2 +6x3 =15 X1, X2, xz 20 and an associated tableau N X1 X2 X3 S1 S2 RHS 1 0 0 5 0 1 15 0 0 0.4 -0.2 1 -0.2 3 0 1 0.6 1.2 0 0.2 3 (a) What basic solution does this tableau represent? Is this solution optimal? Why or why not? (b) Does...
Using the dual simplex, please solve the following linear program min z = x1 +x2 s.t. 2x tx2 5 2x1 + 3x2 26 (all x's are nonnegative) Using the dual simplex, please solve the following linear program min z = x1 +x2 s.t. 2x tx2 5 2x1 + 3x2 26 (all x's are nonnegative)
1. (20 pts.) Consider the following linear program: max 4x4 +xz+5x3 +3x4 s.t. *1 -X2 -X3 +3X, 51 5x +xz+3X3 +8X555 -X2 +2x2+3x3 -5x53 It is claimed that the solution x* = (0,14,0,5) is an optimal solution to the problem. Give a proof of the claim. Do not use the simplex method to solve this problem.
Solve the following linear programming problem using Two Phase method [12M] Maximize z = 3X1 - 3X2 + X3 Subject to X; + 2x, - xz 25 - 3x; – x2 + x3 54 47, X2, X3 20.
Question 3 Solve the following linear program: Max 3x+2y s.t. 2x+2y <8 A 3x+2y < 12 B 1x+0.5y < 3C x,y> 0 w How much slack is in constraint B? 2 units of slack O 10 units of slack O 2 units of surplus 10 units of surplus
Solve by using the SIMPLEX method. Show all steps please. Thank you! min s.t. F(x)= 3x, – x2 g(x)=-4x2 + x2 50.5 g(x)= x2 + x2 56 g(x) = 3x, -X, 21 X2,4220 min s.t. F(x)=-3x, +xz g(x) = 0.5x, +xz 56 82(x)=-2x, +x, 2-5 h(x)= 0.5x4 – x2 = 1 ,42 30 min s.t. F(x) = 3x2 + x2 81(x) = 3x2 + x2 23 82(x)= x;/4+xz 21 83(x)=-2x, +xz 52 X1,4, 20
Consider the following linear program: Max Z = X1 – 2X2 Subject to – 4X1 + 3X2 <= 3 X1 – X2 <= 3 X1, X2 >= 0 a) Graph the feasible region for the problem. b) Is the feasible region unbounded? Explain. c) Find the optimal solution. d) Does an unbounded feasible region imply that the optimal solution to the linear program will be unbounded?