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(1 point) Consider the following maximization problem. Maximize P = 9x1 + 7x2 + x3 subject...
(4 points) Consider the following maximization problem. Maximize P = 14x + y - 10z subject to the constraints 12x - y + x - 2y + 7x + 142 < 85 2z = 52 9z S 40 x>0 y> z> 0 Introduce slack variables (denoted u, V, and w) and set up the initial tableau below. Keep the constraints in the same order as above, and do not rescale them. Constant
Solve the following LP problem GRAPHICALLY Maximize profit = 9x1 + 7x2 Subject to: 2x1 + 1x2 ≤ 40 x1 + 3x2 ≤ 30 x1, x2 ≥ 0
1. Solve the following LP problem. Solve graphically. Maximize profit = 9x1+ 7x2 Subject to:2x1+ 1x2≤40 x1 + 3x2≤30 x1, x2≥0
Maximize Z = 10x1 + 7x2+ 6x3 Subject to3xi + 2x2 x3 36+C xi x22x33 32 D 2x1 + x2 +x3 <22+F X1 X1, X2, X3
(1 point) Use the simplex method to maximize P = 2x1 + 3x2 + x3 subject to -X -X1 + X2 + 4x2 + 2x2 + 10x35 10 + 6x3 9 + 10x3 S 11 X X120 x220 x3 20 P=
Must show all work 4. (10 pts) Consider the following problem. Minimize Z=3x2+2 xZ+X3, Maximize subject to subject to (constraint 1) x2+x2=7 (constraint 1) (constraint 2) 3x2+x2+x,210 (constraint 2) (constraint 3) X2-4 x32-8 (constraint 3) (constraint 4) x 21 and (all decision variables nonnegativel and x >0 (no nonnegativity constraint on x.i. (a) (5 pts) Convert this problem to a maximization problem with only three functional constraints, all constraints' RHS are non negative, and all decision variables need to satisfy...
Excel Use Simplex method and Exel To solve the following LPPs. Maximize Maximize P-3x + x2 subject to the constraints x1 + x2 = 2 2x) + 3x2 s 12 3x + = 12 x 20 x220 P = 5x1 + 7x2 subject to the constraints 2xy + 3x2 = 12 3x + x2 = 12 x 20 *2 2 0 Maximize Maximize P = 2x2 + 4x2 + x3 subject to the constraints -*1 + 2x2 + 3x3 5...
Consider the following linear program: Maximize Z-3xI+2x2-X3 Subject to:X1+X2+2 X3s 10 2x1-X2+X3 s20 3 X1+X2s15 X1, X2, X320 (a) Convert the above constraints to equalities. (2 marks) (b) Set up the initial simplex tableau and solve. (9 marks) Consider the following linear program: Maximize Z-3xI+2x2-X3 Subject to:X1+X2+2 X3s 10 2x1-X2+X3 s20 3 X1+X2s15 X1, X2, X320 (a) Convert the above constraints to equalities. (2 marks) (b) Set up the initial simplex tableau and solve. (9 marks)
(A) Introduce slack, surplus, and artificial variables and form the modified problem, (B) Write the preliminary simplex tableau for the modified problem and find the initial simplex tableau. (C) Find the optimal solution of the modified problem by applying the simplex method to the initial simplex tableau (D) Find the optimal solution of the original problem, fit exists Maximize P 4x1.5x2 subject to 2x1 + x2 28 X] + xy =21 X1, X220 ntents access access (A) Introduce slack, surplus,...
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...