Name.... * an10 a) Solve the following problem using graphical method (using the following graph): 2....

Question

Question

Name.... * an10 a) Solve the following problem using graphical method (using the following graph): 2. Minimize f(x,y)=2x-y su

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

Ans Given that Mininize o) = 2x-y Subiect to Corstsants -7 D 2 Save &2 we Set + y (y+s) (y -) O y-5,4 (2,4) 0 C-2, 4)- -4 Sca t has minimum at Jokhov Cx,y) 8 23daattanat 4) Cs Scanned with CamScanner

Add a comment

Answer 2

Similar Homework Help Questions

Name.... * an10 a) Solve the following problem using graphical method (using the following graph): 2....

Name.... * an10 a) Solve the following problem using graphical method (using the following graph): 2. Minimize f(x,y)=2x-y subject to the constraints x2+ y2s 20. y Sx (1) (2) (In the space provided below the graph, please write down your solution clearly) b) Suppose we wish to solve the above problem using Exterior Penalty Function approach. Define an augmented cost function and explain how to use it to find a solution to the above problem. Name.... * an10 a) Solve...
a) Solve the following problem using graphical method (using the following graph): Minimize f(x,y) - 2x-y...

a) Solve the following problem using graphical method (using the following graph): Minimize f(x,y) - 2x-y subject to the constraints x2+y's 20 y<x (1) (2) (In the space provided below the graph, please write down your solution clearly) we wish to solve the above problem using Exterior Penalty Function approach. Define b) Suppose augmented cost function and explain how to use it to find a solution to the above problem. a) Solve the following problem using graphical method (using the...
please answer step by step Solve the following problem using Lagrange multiplier method: Maximize f(x.y,z) =...

please answer step by step Solve the following problem using Lagrange multiplier method: Maximize f(x.y,z) = 4y-2z subject to the constraints 2x-y-z 2 x2+ y2-1 1. (1) (2) (Note: You need not check the Hessian matrix, just find the maximum by evaluating the values of f(x,y,z) at the potential solution points) Also, using sensitivity analysis, find the change in the maximum value of the function, f, if the above changed to: (3) (4) constraints are 2x-0.9y-z 2 x2+y2-0.9. Solve the...

Solve the following problem using Lagrange multiplier method: Maximize f(x,y,z) = 4y-2z subject to the constraints...

Solve the following problem using Lagrange multiplier method: Maximize f(x,y,z) = 4y-2z subject to the constraints 2x-y-z 2 x2+y2- 1 1. (1) (2) (Note: You need not check the Hessian matrix, just find the maximum by evaluating the values of f(x,y,z) at the potential solution points) Also, using sensitivity analysis, find the change in the maximum value of the function, f, if the above constraints are changed to: (3) (4) 2x -0.9y-z 2 x2+ y2- 0.9. Solve the following problem...
Solve the following problem using Lagrange multiplier method: Maximize f(x,y,z) = 4y-2z subject to the constraints...

Solve the following problem using Lagrange multiplier method: Maximize f(x,y,z) = 4y-2z subject to the constraints 2x-y-z 2 x2+ y2- 1 (1) (2) (Note: You need not check the Hessian matrix, just find the maximum by evaluating the values of f(x,y,z) at the potential solution points) Also, using sensitivity analysis, find the change in the maximum value of the function, f, if the above constraints are changed to: (3) (4) 2x-0.9y-z =2 x2+y2- 0.9 Solve the following problem using Lagrange...
Page 281 Problem #7-18 Using the following equations, graph the constraints, and solve using the...

Page 281 Problem #7-18 Using the following equations, graph the constraints, and solve using the corner point approach. NOTE: is a minimization problem like Holiday Turkey example in book X1 = number of undergraduate courses X2 = number of graduate courses Minimize cost = $2,500X1 + $3,000X2 subject to X1 >= 30 X2 >= 20 X1 + X2 >= 60 X1, X2 >= 0

4. (40%) using the graphical method find the solution for the following problem. Verify this solution using the KKT...

4. (40%) using the graphical method find the solution for the following problem. Verify this solution using the KKT requirements. Plot the gradients of the objective function and the active constraints at the optimal point MinfcX,y)- (x-3)2 (Y-3) s.t 9:X+2Y-6s 92: 2X+Y-6s0 4. (40%) using the graphical method find the solution for the following problem. Verify this solution using the KKT requirements. Plot the gradients of the objective function and the active constraints at the optimal point MinfcX,y)- (x-3)2 (Y-3)...
4. (hand solution) Use the graphical approach of linear programming to solve this problem; draw a graph and identify the feasible region Maximize f (x, y) = 10x-Sy subject to 4. (hand solution)...

4. (hand solution) Use the graphical approach of linear programming to solve this problem; draw a graph and identify the feasible region Maximize f (x, y) = 10x-Sy subject to 4. (hand solution) Use the graphical approach of linear programming to solve this problem; draw a graph and identify the feasible region Maximize f (x, y) = 10x-Sy subject to
Problem #7-17 Using the following equations, graph the constraints, and solve using the corner point...

Problem #7-17 Using the following equations, graph the constraints, and solve using the corner point approach. X1 = number of benches produced X2 = number of tables produced Maximize profit = $9X1 + $20X2 subject to 4X1 + 6X2 <= 1,200 hours 10X1 + 35X2 <= 3,500 feet X1, X2 >= 0

Determine the dual problem. Solve either the original problem or its dual by the simplex method, ...

Determine the dual problem. Solve either the original problem or its dual by the simplex method, and then give the solutions to both. Minimize 2x +y + 3z subject to the constraints below. xty +z 211 4x+ y 245 x20, y20, z20 Determine the dual problem. Vsubject to the following constraints. u20, v20 Give the solution to the dual problem The value iswhich is attained whenand v Simplify your answers.) Give the solution to the original problem. The (Simplify your...

Name.... * an10 a) Solve the following problem using graphical method (using the following graph): 2....

Homework Answers