Linear programming question minimize 2x1 + 322 + 423, subject to 3x1-4x2-5x3 2 6, x1 +x2 +x3 = 10 Eliminate the equality constraint by replacing r in terms of ri, 22, and convert it into an equivalent LP with only inequality constraints. Then find a minimizer(エ4,2 for this LP.
QUESTION 1 Given the following LP, answer questions 1-10 Minimize -3x15x2 Subject to: 3x2x 24 2x1+4x2 2 28 2s 6 x1, x2 20 How many extreme points exist in the feasible region for this problem? We cannot tell from the information that is provided The feasible e region is unbounded QUESTION 2 Given the following LP, answer questions 1-10 Minimize 2- 31+5x2 Subject to: 3x2x 24 2x1+4x2228 t is the optimal solution? (2, 6) (0, 12) (5,4.5) None of the...
Problem 5: a) (2 Points) Using the two-phase simplex procedure solve Minimize 3X1 + X2 + 3X3-X4 Subject to 1 2.x2 - ^3 r4 0 2x1-2x2 + 3x3 + 3x4 9 T1, x2, x3, x4 2 0. b) (2 Points) Using the two-phase simplex procedure solve Minimize Subject to x1+6x2-7x3+x4+5x5 5x1-4x2 + 132:3-2X4 + X5-20 X5 〉 0.
; Let at be a linear transformation as follows : T{x1,x2,x3,x4,x5} = {{x1-x3+2x2x5},{x2-x3+2x5},{x1+x2-2x3+x4+2x5},{2x2-2x3+x4+2x5}] a.) find the standard matrix representation A of T b.) find the basis of Col(A) c.) find a basis of Null(A) d.) is T 1-1? Is T onto?
Consider the following linear transformation T: R5 → R3 where T(X1, X2, X3, X4, X5) = (*1-X3+X4, 2X1+X2-X3+2x4, -2X1+3X3-3x4+x5) (a) Determine the standard matrix representation A of T(x). (b) Find a basis for the kernel of T(x). (c) Find a basis for the range of T(x). (d) Is T(x) one-to-one? Is T(x) onto? Explain. (e) Is T(x) invertible? Explain
Consider the following problem: Maximize z+ 2x1+5x2+3x3 subject to x1-2x2+3x3>=20, and 2x1+4x2+x3=50 using the Big-M and two phase method.
Consider the following linear transformation T: RS → R3 where T(X1, X2, X3, X4, X5) = (x1-X3+X4, 2X1+X2-X3+2x4, -2X1+3x3-3x4+x5) (a) Determine the standard matrix representation A of T(x).
The coefficients respectively for X1, X2, X3, X4 and X5 are .01, .02, .03, .04 and .05. Compute the Z score. Analyze whether this firm will fail, or not and why. Explicate the meaning of the Xs.
2x1 + 4x2 + 7x3 c1: x1 +x2 +x3 ≤ 105 c2: 3x1 +4x2 +2x3 ≥ 310 c3: 2x1 +4x2 +4x3 ≥ 330 x1,x2,x3 ≥ 0 The problem was solved using a computer program and the following output was obtained variabel value reduced cost allowable increase decrease x1 0.0 -3.5 3.5 inf x2 55 0 5 7 x3 60 0 inf 5 constraint slack/surplus dual price 1 0 10 2 0 -2 3 95 0 Constraint right-hand side sensitivity constraint...
Find the number of solutions to x1 + x2 + x3 + x4 = 200 subject to xi E 220 (1 < i < 4) and x3, x4 < 50 in two ways: (i) by using the inclusion-exclusion principle, and (ii) using generating functions.