Question

Solve the following linear programming model graphically and explain the solution result. Maximize Z = 60x1...

  1. Solve the following linear programming model graphically and explain the solution result.

Maximize Z = 60x1 + 90x2

Subject to

60x1 + 30x2 <= 1500

100x1 + 100x2 >= 6000

x2 >= 30

x1, x2 >= 0

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Solve the following linear programming model graphically and mathematically. Minimize C = 8x1 + 2x2 Subject...
Solve the following linear programming model graphically and mathematically. Minimize C = 8x1 + 2x2 Subject to 2x1 – 6x2 ≤ 12 5x1 + 4x2 ≥ 40 x1 +2x2 ≥ 12 x2 ≤ 6 x1, x2 ≥ 0
Solve the following linear programming problem graphically: Minimize cost = 4X1 + 5X2 Subject to: X1...
Solve the following linear programming problem graphically: Minimize cost = 4X1 + 5X2 Subject to: X1 + 2X2 > (or equal to) 80 3X1 + X2 > (or equal to) 75 X1, X2 > 0
The following is the mathematical model of a linear programming problem for profit: Maximize Z =...
The following is the mathematical model of a linear programming problem for profit: Maximize Z = 2X1 + 3X2 subject to: 4X1 + 9X2 ≤ 72 10X1 + 11X2 ≤ 110 17X1 + 9X2 ≤ 153 X1 , X2 ≥ 0 The constraint lines have been graphed below along with one example profit line (dashed). The decision variable X1 is used as the X axis of the graph. Which of the following gives the constraint line that cuts the X2...
Solve the following linear programming model by using the graphical method: graph the constraints and identify...
Solve the following linear programming model by using the graphical method: graph the constraints and identify the feasible region. Using the corner points method, determine the optimal solution (s) (show your work). Maximize Z = 6.5x1 + 10x2 Subject to x1 + x2 ≤ 15 2x1 + 4x2 ≤ 40 x1 ≥ 8 x1, x2 ≥ 0 b. If the constraint x1 ≥ 8 is changed to x1 ≤ 8, what effect does this have on the optimal solution? Are...
Consider the following linear programming problem: Maximize 40 X1 + 30 X2 + 60X3 Subject to:...
Consider the following linear programming problem: Maximize 40 X1 + 30 X2 + 60X3 Subject to: X1 + X2 + X3 ≥ 90 12 X1 + 8 X2 + 10 X3 ≤ 1500 X1 = 20 X3 ≤ 100 X1 , X2 , X3 ≥ 0 How many slack, surplus, and artificial variables would be necessary if the simplex algorithm were used to solve this problem?
a. Solve the following linear programming model by using the graphical method: graph the constraints and...
a. Solve the following linear programming model by using the graphical method: graph the constraints and identify the feasible region then determine the optimal solution (s) (show your work). Minimize Z = 3x1 + 7x2 Subject to 9x1 + 3x2 ≥ 36 4x1 + 5x2 ≥ 40 x1 – x2 ≤ 0 2x1 ≤ 13 x1, x2 ≥ 0 b. Are any constraints binding? If so, which one (s)?
solve the following model graphically: maximize 2x1 +7x2 subject to: 9x1 +7x2 ≤ 63 5x1 +8x2...
solve the following model graphically: maximize 2x1 +7x2 subject to: 9x1 +7x2 ≤ 63 5x1 +8x2 ≤ 40 9x1 −15x2 ≥ 0 x1 ≥ 3 x2 ≤ 4 x1, x2 ≥ 0 Take care to identify and label the feasible region, feasible points, optimal isovalue line and use algebra to determine the optimal solution.
Solve the following Linear Programming graphically (please graph be excell) Max Z = 50x + 18y...
Solve the following Linear Programming graphically (please graph be excell) Max Z = 50x + 18y             Subject to:         2 x + y ≤ 100                            x + y ≤ 80                      and x, y ≥ 0.
Q Solve the following Linear Programming graphically Max Z = 50x + 18y Subject to: 2...
Q Solve the following Linear Programming graphically Max Z = 50x + 18y Subject to: 2 x + y ≤ 100 x + y ≤ 80 and x, y ≥ 0. Note: do not attach photo in the answer
Solve the following linear programs graphically. Minimize            Z = 6X1 - 3X2 Subject to            2X1 +...
Solve the following linear programs graphically. Minimize            Z = 6X1 - 3X2 Subject to            2X1 + 5X2 ≥ 10                             3X1 + 2X2 ≤ 40                            X1, X2 ≤ 15