3. Solve the following LP problem using Solver in MS Excel. Minimize cost = 50x1 + 10x2 + 75x3 Subject to: x1 - x2 = 1000 2x2 + 2x3 = 2000 x1 ≤ 1500 x1, x2, x3 ≥ 0
3. Solve the following LP problem using Solver in MS Excel. Minimize cost = 50x1 +...
Solve the dual of the following L.P problem by simplex method. Hence find the solution of the primal using complimentary slackness conditions. Minimize Z = 4X1 - 5X2 - 2X3 Subject to 6X1 + X2 - X3 ≤ 5 2X1 + 2X2 - 3X3 ≥ 3 ...
Problem 3. Solve the following LP by the simplex method. max -x1 + x2 + 2xz s. t x1 + 2x2 – x3 = 20 -2x1 + 4x2 + 2x3 = 60 2xy + 3x2 + x3 = 50 X1, X2, X3 > 0 You can start from any extreme point (or BFS) that you like. Indicate the initial extreme point (or BFS) at which you start in the beginning of your answer. (30 points)
Solve the following problems using the Simplex method and verify it graphically Problem 4 Minimize f=5x1 + 4x2 - 23 subject to X1 + 2x2 - X3 = 1 2x1 + x2 + x3 = 4 X1, X2 2 0; xz is unrestricted in sign
please Solve the question with excel solver Solve the question with excel solver URBAN PLANNING - URBAN RENEWAL MODEL Example 2.4.6 on page 70 of Taha's book Decision variables: XI-Number of units of single-family homes x2 - Number of units of double-family homes x3 = Number of units of triple-family homes x4 - Number of units of quadruple-family homes xs = Number of old homes to be demolished XS Maximize z=1000 x1 + 1900 x2 +2700 x3 +3400 x4 Subject...
Consider the following LP: Max x1 +x2 +x3 s.t. x1 +2x2 +2x3 ≤ 20 Solve this problem without using the simplex algorithm, but using the fact that an optimal solution to LP exists at one of the basic feasible solutions.
solve the following LP by hand using Branch-and-Bound. Can use any solver for the LPs. minimize tal que -7:01 - 2.02 -21 +2:02 < 4 5x1 + x2 < 20 -2.21 - 222 < -7 X1, X2 E ZI
Problem 3. (a) Solve the following LP problem using the Simplex Method. Use the smallest- subscript rule to choose entering and leaving variables. Show all steps. maximize xi+ 5.02 + 5x3 + 524 subject to X1+ 412 + 3x3 + 3x4 < 17 12 + x3 + x4 <4 Xit 202 + 2x3 + 3x4 < 10 X1, ..., 84>0. (b) Is the optimal solution you found the only one? Explain.
1. Solve the following LP by the simplex method. Min z = 2x2 – Xı – X3 Subject to *1 + 2x2 + x3 = 12 2x1 + x2 – x3 = 6 -X1 + 3x2 = 9 X1, X2, X3 > 0
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.
3. Solve the following LP problem graphically. Maximize profit = 20x1+ 10x2 Subject to:5x1 + 4x2≤250 2x1 + 5x2≤150 x1, x2≥0