Determine whether the following linear programming problem is infeasible, unbounded, or has multiple optimal solutions. Draw a graph and explain your conclusion.   Maximize 400x + 500y Subject to      2x + 1y > 60                     -3x + 4y < 90                                                 x, y > 0

Use the simplex method to solve the linear programming problem. z= 5x, +2x2 +X3 4x1 +4x2 + Maximize subject to X3 S36 X1 + 3x2 + 5x3 511 X1 20, X2 20, x3 20. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. when x, X2 =, x3 = The maximum is and S2 %3D O A. B. There is no maximum.

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The contribution to profits and overhead per 100 feet of pipe is $34 for type 1 and $40 for type 2.- Formulate a linear programming model to determine how much of each type of pipe should be produced to maximize contribution to profits and to overhead, assuming that everything produced can be sold.- Find the optimal solution algebraically for the Moldex Company problem. What is the Z value when the decision variables have optimal values?

Solve the linear programming problem.   Maximize and minimize   z=4x+5y   Subject to 2x+y ≥ 10   x+2y ≥ 8   x, y ≥ 0 What is the minumum value of z? What are the coordinates of the corner point where the minimum value of z​ occurs? What is the maximum value of z? What are the coordinates of the corner point where the maximum value of z​ occurs?

Use the simplex method to solve the linear programming problem. Maximize: z = 2x₁ + x2 subject to: x₁ + 4x₂ ≤ 12 2x₁ + 6x₂ ≤ 4 X₁ + 2x2 ≤ 4 with x₁ ≥ 0, x₂ ≥ 0. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The maximum is when x₁ = x₂ = , S₁ = S2 = and S3 = B. There is no maximum solution to this linear programming problem.