Use a graphing calculator or a computer program for the simplex method to solve this linear programming problem.. X1 X2 X3 X4 S1 0 625 1 0.375 .5 0 .75 .375 0 1 .25 125 0 0 - 105 -85 0 -80-70 $₂ 0 1 0 0 S3 0 1 490 600 330 0 The optimal solution x₁=₁ X₂=₁ X3 =, and x4 = produces the maximum value (Do not round until the final answer. Then round to the nearest integer as needed.)

The initial tableau of a linear programming problem is given. Use the simplex method to solve the problem. X2 X3 4 4 2 3 X₁ 1 4 3 -1 $₁ 1 0 0 $2 0 1 0 Z 0 0 1 16 60 The maximum is when x₁ = x₂ = x3 = . $₁=₁ and $2 = | (Type integers or simplified fractions.)

Use a graphing calculator or a computer program for the simplex method to solve this linear programming problem. S1 $2 X4 .625 1 0 .5 .375 0 1 0 0 0 0 X1 0 0 1 X2 X3 0 .375 .75 .25 125 0 -105-80 -75 - 65 S3 = 0 530 0 630 1 280 0 0 The optimal solution X₁ = ‚ X₂ = ₁ ×3 = (Do not round until the final answer. Then round to the nearest integer as needed.) and X4 = produces the maximum value

Use a graphing calculator or a computer program for the simplex method to solve this linear programming problem. X2 X3 X4 51 $2 $3 0 0 .375 .625 1 0 0 480 0 .75 .5 .375 0 1 0 610 1 .25 .125 0 0 0 1 280 -105 -75-65-55 0 0 0 0 The optimal solution x₁ = ☐, ×₂ = ☐, ×3 = ☐, and x4 = ☐ produces the maximum value ☐. (Do not round until the final answer. Then round to the nearest integer as needed.)

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