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.)

The initial tableau of a linear programming problem is given. Use the simplex method to solve the problem. X2 X3 S₁ 6 1 2 0 -2 -1 0 X₁ 1 4 3 6 5 $2 0 1 0 Z 0 12 0 44 1 *** The maximum is when x₁ = x₂x3 = $₁=, and $₂ = (Type integers or simplified fractions.)

Solve the following linear program by simplex method: minimize -x12x₂ 2x1x2 ≤ 4 - x1 + x₂ ≤ 2 3x1 + x2 ≤ 6 x1 + x₂ ≥ 1 x1, x2 > 0

Solve the linear programming problem using the simplex method. Maximize P = -x₁ + 2x₂ subject to x₁ + x₂ ≤2 -X₁ + 3x₂ ≤18 X₁-4x2 ≤8 X₁, X₂ 20 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. The maximum value of P is P= (Simplify your answers.) OB. There is no optimal solution. when x₁ = *** and X₂=