Question

In: Advanced Math

Use the simplex algorithm to solve the following LP: ??? ? = ?1 + ?2 ?.?....

Use the simplex algorithm to solve the following LP:

??? ? = ?1 + ?2

?.?. ?1 − ?2 ≤ 1

?1 + ?2 ≤ 2

?1 , ?2 ≥ 0

Solutions

Expert Solution


Related Solutions

Use the Simplex method to solve the following LP minimize −2x1 −3x2 + x3 + 12x4...
Use the Simplex method to solve the following LP minimize −2x1 −3x2 + x3 + 12x4 subject to −2x1 −9x2 + x3+ 9x4 + x5 = 0 1/3x1 + x2 −1/3x3 −2x4 + x6 = 0 x1,x2,x3,x4,x5,x6 ≥ 0
Find the optimum solution to the following LP using the Simplex Algorithm. Use Two-Phase method. ???...
Find the optimum solution to the following LP using the Simplex Algorithm. Use Two-Phase method. ??? ?=3?2+2?3 ?? −2?1 + ?2 − ?3 ≤ −3 −?1 + 2?2 + ?3 = 6 ?1,?2,?3 ≥0
Find the optimum solution to the following LP using the Simplex Algorithm. Use Big M method....
Find the optimum solution to the following LP using the Simplex Algorithm. Use Big M method. ??? ?=5?1+2?2+?3 ?? ?1 + ?2 ≤ 6 ?1 − ?2 + 2?3 ≤ 2 3?1 + 2?2 = 12 ?1,?2,?3 ≥0
Solve the following LP using revised simplex algorithm in table format. Min 6x1+10x2 -18x3 +25x4 +15x5...
Solve the following LP using revised simplex algorithm in table format. Min 6x1+10x2 -18x3 +25x4 +15x5 subject to 0.2x1+ 0.2x2+0.4x3+ 0.5x4 + x5 ≥ 1000 2.5x1+ 1.5x2+ x3 + 0.5x4 + 0.5x5 ≤ 1100 0.8x3 + x5 ≥ 500 x1, x2, x3, x4, x5 ≥ 0
Find the optimum solution to the following LP by using the Simplex Algorithm. Min z =...
Find the optimum solution to the following LP by using the Simplex Algorithm. Min z = 3x1 – 2x2+ 3x3 s.t. -x1 + 3x2 ≤ 3 x1 + 2x2 ≤ 6 x1, x2, x3≥ 0 a) Convert the LP into a maximization problem in standard form. b) Construct the initial tableau and find a bfs. c) Apply the Simplex Algorithm.
Consider the following LP. Use revised simplex formula to answer the questions. Max Z = -x1...
Consider the following LP. Use revised simplex formula to answer the questions. Max Z = -x1 +2x3 +3x4 subject to x1 -x2+2x3 ≥8 4x1 +2x2 +7x3 +9x4 ≥ 30 2x1 +3x3 +7x4 ≤ 20 3x1 +x2 -3x3 +4x4 = 1 x1, x2, x3, x4 ≥ 0 a. Show that the basic feasible solution where x1, x2, x3, and x4 is not a feasible solution to the given LP. b. Show that the basic feasible solution where x1, x3, x4, and...
Maximization by the simplex method Solve the following linear programming problems using the simplex method. 1>....
Maximization by the simplex method Solve the following linear programming problems using the simplex method. 1>. Maximize z = x1 + 2x2 + 3x3 subject to x1 + x2 + x3 ≤ 12 2x1 + x2 + 3x3 ≤ 18 x1, x2, x3 ≥ 0 2>. A farmer has 100 acres of land on which she plans to grow wheat and corn. Each acre of wheat requires 4 hours of labor and $20 of capital, and each acre of corn...
1. Use the Extended Euclid's Algorithm to solve ƒ-1 for 8 mod 11 2. Use the...
1. Use the Extended Euclid's Algorithm to solve ƒ-1 for 8 mod 11 2. Use the max function to calculate max3(x, y, z) if x = 2, y = 6, z = 5. Show your work!
Use the simplex method to solve the following problem. Find y1 ≥ ​0, y2 ≥ ​0,...
Use the simplex method to solve the following problem. Find y1 ≥ ​0, y2 ≥ ​0, and y3 ≥ 0 such that 2 y1 + 7 y2 + 3 y3 ≤ 11​, 2 y1 + 14 y2 + 8 y3 ≥ 1010​, and w = 12 y1 + 42 y2 + 59 y3 is minimized. The minimum value w = ___ occurs when y1 = ___​, y2 = ___​, and y3 = ___. ​(Simplify your​ answers.)
Use the Simplex method to solve the following problem:   Max  Z = x1 + 2x2 + 3x3...
Use the Simplex method to solve the following problem:   Max  Z = x1 + 2x2 + 3x3   s. to2x1 + x2 + x3 <= 20 x1 + 2x2 - x3 <= 20         3x2 + x3 <= 10        x1, x2, x3 >= 0 Clearly specify the optimal values of all variables ya used in your procedure as well as the optimal value of the objective function. In part a), say what corner point was analyzed in each iteration and give the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT