Question

In: Advanced Math

Linear Programming How do I use duality to find the optimal value of the objective function...

Linear Programming

How do I use duality to find the optimal value of the objective function for this?

minimize 8y1+6y2+2y3

constraints----

y1+2y2 ≥ 3

2y1+y3 ≥ 2

y1 ≥ 0

y2 ≥ 0

y3 ≥ 0

Solutions

Expert Solution


Related Solutions

What is the difference between the optimal solution to a linear programming problem and the objective...
What is the difference between the optimal solution to a linear programming problem and the objective function value at the optimal solution? Use an example in your explanation
Use the graphical method for linear programming to find the optimal solution for the following problem....
Use the graphical method for linear programming to find the optimal solution for the following problem. Maximize P = 4x + 5 y subject to 2x + 4y ≤ 12                 5x + 2y ≤ 10 and      x ≥ 0, y ≥ 0. graph the feasible region
Use the simplex method to solve the linear programming problem. Maximize objective function: Z= 6x1 +...
Use the simplex method to solve the linear programming problem. Maximize objective function: Z= 6x1 + 2x2 Subject to constraints: 3x1 + 2x2 <=9 x1 + 3x2 <= 5 when x1, x2 >=0
Formulate the situation as a linear programming problem by identifying the variables, the objective function, and...
Formulate the situation as a linear programming problem by identifying the variables, the objective function, and the constraints. Be sure to state clearly the meaning of each variable. Determine whether a solution exists, and if it does, find it. State your final answer in terms of the original question. A rancher raises goats and llamas on his 400-acre ranch. Each goat needs 2 acres of land and requires $100 of veterinary care per year, and each llama needs 5 acres...
You are a manager that uses Excel to find the optimal solution to a linear programming...
You are a manager that uses Excel to find the optimal solution to a linear programming problem. Before implementing the solution, what should you do?
LECTURE OF THE OPERATIONS RESEARCH I You will randomly generate a linear programming model. • Objective...
LECTURE OF THE OPERATIONS RESEARCH I You will randomly generate a linear programming model. • Objective function should be a maximization problem. • Model must have exactly three decision variables. • Model must have two less-than equality (≤) constraints. Please answer the following parts: a) Take the dual of the primal problem you have on hand. b) Solve the dual problem by using Graphical Solution Procedure. If the dual problem does not have a single optimal solution (or if the...
Solve this linear programming (LP) problem using the transportation method. Find the optimal transportation plan and...
Solve this linear programming (LP) problem using the transportation method. Find the optimal transportation plan and the minimum cost. (Leave no cells blank - be certain to enter "0" wherever required. Omit the "$" sign in your response.) Minimize 8x11 + 2x12 + 5x13 + 2x21 + x22 + 3x23 + 7x31 + 2x32 + 6x33 Subject to x11 + x12 + x13 = 90 x21 + x22 + x23 = 105 x31 + x32 + x33 = 105 x11...
Find the complete optimal solution to this linear programming problem. Min 5x + 6y s.t. 3x...
Find the complete optimal solution to this linear programming problem. Min 5x + 6y s.t. 3x +   y >= 15 x + 2y >= 12 3x + 2y >= 24      x , y >= 0 PLEASE NOTE I AM USING EXCEL FOR THIS QUESTION PLEASE SHOW ALL WORK AND FORMULAS
Find the complete optimal solution to this linear programming problem. Max 5x + 3y s.t. 2x...
Find the complete optimal solution to this linear programming problem. Max 5x + 3y s.t. 2x + 3y <=30 2x + 5y <= 40 6x - 5y <= 0      x , y >= 0 I AM USING EXCEL FOR THIS QUESTION PLEASE SHOW ALL WORK AND FORMULAS, THANK YOU
Find the complete optimal solution to this linear programming problem. Min 5x + 6y s.t. 3x...
Find the complete optimal solution to this linear programming problem. Min 5x + 6y s.t. 3x +   y >= 15 x + 2y >= 12 3x + 2y >= 24      x , y >= 0 Find the complete optimal solution to this linear programming problem. Min 5x + 6y s.t. 3x +   y >= 15 x + 2y >= 12 3x + 2y >= 24      x , y >= 0
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT