In Exercises 6-12 solve the given linear programming problem calculating z,-c, as described in th...
+ Use the simplex method to solve the linear Maximize z = xy + 2x2 + x3 +8X4 programming problem. subject to: xy + 2x2 + x3 + x4 = 48 4x4 + X2 + 2X2 + x4 S 105 with Xy 20, X220, X3 20, X4 20. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. X2 = A. The maximum is when X1 = (Simplify your answers.) , X3 =,...
(a) State the dual problem.
(b) Solve both the primal and the dual problem with any method
that works.
(c) Check that your optimal solutions are correct by verifying they
are feasible and the primal and dual objective functions give the
same value.
9. Minimize z subject to 4x1 + x2 + x3 + 3x4 2x, + x2 + 3x3 + x4 2 12 3xi + 2x2 + 4x3 2x1-x2 + 2x3 + 3x4-8 3x1 + 4x2 + 3x3 х,2...
(10 pts) Using the simplex method, solve the linear programming problem: Maximize z = 30x1 + 5x2 + 4x3, subject to 5x + 3x2 < 40 3x2 + x3 = 25 X1 2 0,X2 2 0,X320
+ Use the simplex method to solve the linear programming problem. Maximize z= 2X2 + 3x2 subject to: 5x1 + x2 = 70 3x4 + 2x2 5 90 X1 + X2 580 X1, X220. with Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The maximum is when X1 = and X2 (Simplify your answers.) OB. There is no maximum.
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.
Use the simplex method to solve the linear programming
problem.
Use the simplex method to solve the linear programming problem. Maximize z = 8X, + 2X2 + x3 subject to: xy +3X2 + 9x2 = 107 Xq + 2xy + 10x3 = 243 with X120, X220, X3 20. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The maximum is O when xy = 1,x2 = O), and x3 = 41.4)....
Solve the linear programming problem using the simplex method. Maximize z = 2X, + 5x, subject to 5x, + X560 5x + 2x2 580 X1 + x2 $70 X1, X2 20. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The maximum is z = when X, x2 = 1,5, - S2 = and s3 = B. There is no maximum solution for this linear programming problem.
Use the simplex method to solve the linear programming problem. Maximize z= 7x1 + 2x2 + x3 subject to: x1 + 4x2 + 8x3 ≤ 113 x1 + 2x2 + 10x3 ≤ 209 with x1 ≥ 0, x2 ≥ 0, x3 ≥ 0. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A.The maximum is ___ when x1 = ___, x2 =___, and x3 = ___. (Simplify your answers.) B.There is no...
Solve the linear program using
the simplex algorithm method
maximize Z = 5x1 + x2 + 3x3 + 4x4 subject to: x1 – 2 x2 + 4 x3 + 3x4 s 20 –4x1 + 6 x2 + 5 X3 – 4x4 = 40 2x1 – 3 x2 + 3 x3 + 8x4 5 50 X1, X2, X3 , X4 20
ILUUIPO) Use the simplex method to solve the linear programming problem. Maximize z = 7x1 + 2X2 + X3 subject to: x4 +5x2 + 7x3 58 *4 + 4x2 + 11x3 59 with X, 20, X20, X, 20 O A. Maximum is 9 when xy = 1, X2 = 1, X3 = 0 OB. Maximum is 63 when xy = 9, X2 = 0, X3 = 0 O C. Maximum is 56 when xy = 8, X2 = 0, X3...