Question

In: Operations Management

Hi: I have a linear programming problem with 3 constraints (written as equalities): Constraint A: X...

Hi:

I have a linear programming problem with 3 constraints (written as equalities):

Constraint A: X + Y = 150,000

Constraint B: X = 75,000

Constraint C: Y = 60,000

How would the corner point method be utilized to complete the feasibility region (determine the corner points)? As can be seen, constraint B results in a horizontally bound line (to infinity) and contraint C results in a vertically bound line (to infinity).

Thanks in advance!

Solutions

Expert Solution

Corner point method is used in the sense that objective value is determined at each corner of the feasible region and the point where the objective value is the most optimum (maximum or minimum) is the optimal solution point.  


Related Solutions

Create by yourself a Linear Programming problem with at least 3 decision variables and 3 constraints....
Create by yourself a Linear Programming problem with at least 3 decision variables and 3 constraints. Solve the problem using the simplex method
The optimal solution of the linear programming problem is at the intersection of constraints 1 and...
The optimal solution of the linear programming problem is at the intersection of constraints 1 and 2. Please answer the following questions by using graphical sensitivity analysis. Max s.t. Max 2x1 + x2 s.t. 4x1 +1x2 ≤8 4x1 +3x2 ≤12 1x1 +2x2 ≤6 x1 , x2 ≥ 0 Over what range can the coefficient of x1 vary before the current solution is no longer optimal? Over what range can the coefficient of x2 vary before the current solution is no...
1. The optimal solution of the linear programming problem is at the intersection of constraints 1...
1. The optimal solution of the linear programming problem is at the intersection of constraints 1 and 2. Please answer the following questions by using graphical sensitivity analysis. Max 2x1 + x2 s.t. 4x1 +1x2 ≤8 4x1 +3x2 ≤12   1x1 +2x2 ≤6 x1 , x2 ≥ 0 A. Over what range can the coefficient of x1 vary before the current solution is no longer optimal? B. Over what range can the coefficient of x2 vary before the current solution is...
So I have written a code for it but i just have a problem with the...
So I have written a code for it but i just have a problem with the output. For the month with the highest temperature and lowest temperature, my code starts at 0 instead of 1. For example if I input that month 1 had a high of 20 and low of -10, and every other month had much warmer weather than that, it should say "The month with the lowest temperature is 1" but instead it says "The month with...
2. A. An infeasible linear programming model is caused by the (a) objective function (b) constraints...
2. A. An infeasible linear programming model is caused by the (a) objective function (b) constraints (c) Both (a) and (b) (d) None of the above (b) Which of the following nations is least active in entrepreneurial activities?                         (a) China (b) Japan (c) Thailand (d) Canada c. Name two reasons and clearly explain how they have contributed to the huge number of   small businesses in the United States:
hey I have this program written in c++ and I have a problem with if statement...
hey I have this program written in c++ and I have a problem with if statement {} brackets and I was wondering if someone can fix it. //Name: Group1_QueueImplementation.cpp //made by ibrahem alrefai //programming project one part 4 //group members: Mohammad Bayat, Seungmin Baek,Ibrahem Alrefai #include <iostream> #include<stdlib.h> using namespace std; struct node { string data; struct node* next; }; struct node* front = NULL; struct node* rear = NULL; struct node* temp; void Insert() {     string val;    ...
Use the simplex method to solve the linear programming problem. Maximize P = x + 2y...
Use the simplex method to solve the linear programming problem. Maximize P = x + 2y + 3z subject to 2x + y + z ≤ 21 3x + 2y + 4z ≤ 36 2x + 5y − 2z ≤ 15 x ≥ 0, y ≥ 0, z ≥ 0
Use the simplex method to solve the linear programming problem. Maximize P = x + 2y...
Use the simplex method to solve the linear programming problem. Maximize P = x + 2y + 3z subject to 2x + y + z ≤ 56 3x + 2y + 4z ≤ 96 2x + 5y − 2z ≤ 40 x ≥ 0, y ≥ 0, z ≥ 0   The maximum is P =  at (x, y, z) =
Use the simplex method to solve the linear programming problem. Maximize   P = x + 2y...
Use the simplex method to solve the linear programming problem. Maximize   P = x + 2y + 3z subject to   2x + y + z ≤ 28 3x + 2y + 4z ≤ 48 2x + 5y − 2z ≤ 20 x ≥ 0, y ≥ 0, z ≥ 0   The maximum is P = ________ at (x, y, z) = (_______)       .
Question 3 Below is the linear programming for the Shortest Path Problem. Considering the second contraint...
Question 3 Below is the linear programming for the Shortest Path Problem. Considering the second contraint in the mathematical model : ∑ i x ji −∑ i x ij =0∀j≠s,j≠t What is the logic behind this contraint? 1) To make sure there is only one solution 2) To make sure that the path is connected between the nodes 3) To make sure the variable stays binary 4) This contraint is redundant and not necessary Question 4 Which of the following...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT