Question

In: Math

If there are 3 known functions, namely: X1 + 2X2 + 3X3 = 6 2X1 -...

If there are 3 known functions, namely:
X1 + 2X2 + 3X3 = 6
2X1 - 2X2 + 5X3 = 5
4X1 - X2 - 3X3 = 0
Use the Jacobian determinant to see whether there is a functional freedom function for each pair. Determine the values of X1, X2 and X3 in the above equation?

Solutions

Expert Solution


Related Solutions

Consider the following. x1 − 2x2 + 3x3 = 3 −x1 + 3x2 − x3 =...
Consider the following. x1 − 2x2 + 3x3 = 3 −x1 + 3x2 − x3 = 2 2x1 − 5x2 + 5x3 = 3 (a) Write the system of linear equations as a matrix equation, AX = B. x1 x2 x3 = (b) Use Gauss-Jordan elimination on [A    B] to solve for the matrix X. X = x1 x2 x3 =
4.Maximize: Z = 2X1+ X2-3X3 Subject to: 2X1+ X2= 14 X1+ X2+ X3≥6 X1, X2, X3≥0...
4.Maximize: Z = 2X1+ X2-3X3 Subject to: 2X1+ X2= 14 X1+ X2+ X3≥6 X1, X2, X3≥0 Solve the problem by using the M-technique.
For the system 2x1 − 4x2 + x3 + x4 = 0, x1 − 2x2 +...
For the system 2x1 − 4x2 + x3 + x4 = 0, x1 − 2x2 + 5x4 = 0, find some vectors v1, . . . , vk such that the solution set to this system equals span(v1, . . . , vk).
Given the following primal problem: maximize z = 2x1 + 4x2 + 3x3 subject to x1...
Given the following primal problem: maximize z = 2x1 + 4x2 + 3x3 subject to x1 + 3x2 + 2x3 ≥ 20 x1 + 5x2 ≥ 10 x1 + 2x2 + x3 ≤ 18 x1 , x2 , x3 ≥ 0 1. Write this LP in standart form of LP. 2.Find the optimal solution to this problem by applying the Dual Simplex method for finding the initial basic feasible solution to the primal of this LP. Then, find the optimal...
19. Suppose you find that MU1( x1,x2)=2x2 and MU2( x1,x2)=2x1. What is the rate at which...
19. Suppose you find that MU1( x1,x2)=2x2 and MU2( x1,x2)=2x1. What is the rate at which the consumer is willing to trade good 2 for good 1 at bundle (2,4)? (Note: enter a positive number, i.e. enter the quantity of good 2 that the consumer is willing to give up for an additional—marginal—unit of good 1.) 20. Suppose you find that the expressions of the marginal utilities for a consumer are given by MU1( x1,x2)=1 and MU2( x1,x 2)=3. Then...
Exercise Solve the following linear programs graphically. Maximize            Z = X1 + 2X2 Subject to            2X1...
Exercise Solve the following linear programs graphically. Maximize            Z = X1 + 2X2 Subject to            2X1 + X2 ≥ 12                             X1 + X2 ≥ 5                            -X1 + 3X2 ≤ 3                            6X1 – X2 ≥ 12                            X1, X2 ≥ 0
Exercise Minimize            Z = X1 - 2X2 Subject to            X1 - 2X2 ≥ 4            &
Exercise Minimize            Z = X1 - 2X2 Subject to            X1 - 2X2 ≥ 4                             X1 + X2 ≤ 8                            X1, X2 ≥ 0
Max Z = 2x1 + 8x2 + 4x3 subject to 2x1 + 3x2     ≤ 8 2x2...
Max Z = 2x1 + 8x2 + 4x3 subject to 2x1 + 3x2     ≤ 8 2x2 + 5x3     ≤ 12 3x1 + x2 + 4x3         ≤15 and x1,x2,x3≥0; Indicate clearly the optimal basic and nonbasic variables and their values and write the reduced cost of each optimal nonbasic variable.
MAX Z = 2x1 + 8x2 + 4x3 subject to 2x1 + 3x2 <= 8 2x2...
MAX Z = 2x1 + 8x2 + 4x3 subject to 2x1 + 3x2 <= 8 2x2 + 5x3 <= 12 3x1 + x2 + 4x3 <= 15 x1 + x3 = 11 and x1,x2,x3 >= 0 apply the Dual Simplex Method to recover feasibility.
Find dual from primal conversion MIN Z = x1 - 2x2 subject to 4x1 - x2 >= 8 2x1 + x2 >= 10 -x1 + x2 <= 7 and x1,x2 >= 0
Find dual from primal conversion MIN Z = x1 - 2x2 subject to 4x1 - x2 >= 8 2x1 + x2 >= 10 -x1 + x2 = 0
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT