Consider the following Traveling Salesman Problem (TSP), provide the simple formulation using the Dantzing-Fulkerson- Johnson method in order to solve the problem. A | 14 В 12 5 |19 3 16 E | 15 18 D
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- Solve the following LP in (((three different ways )))(use TORA for convenience). Which method appears to be the most efficient computationally? Minimize z = 6xı + 7x2 + 3x3 + 5x4 subject to 5x1 + 6x2 – 3x3 + 4x4 >= 12 x2 - 5x3 - 6x4 >= 10 2x1 + 5x2 + x3 + x4 >= 8 X1, X2, X3, X4 >= 0Solve the following LP model using the simplex method.The entries of A are aij. Assuming that zeros don't appear, what is(a) the first pivot?(b) the multiplier L31 of row 1 to be subtracted from row 3?(c) the new entry that replaces a32 after that subtraction?(d) the second pivot?
- Solve the following using Gauss-Jordan eliminationIn a classic study of problem solving, Duncker (1945) asked participants to mount a candle on a wall in an upright position so that it would burn normally. One group was given a candle, a book of matches, and a box of tacks. A second group was given the same items, except that the tacks and the box were presented separately as two distinct items. The solution to this problem involves using the tacks to mount the box on the wall, creating a shelf for the candle. Duncker reasoned that the first group of participants would have trouble seeing a new function for the box (a shelf) because it was already serving a function (holding tacks). For each participant, the amount of time to solve the problem was recorded. Data similar to Duncker’s are as follows. Time to Solve Problem (in sec.) Box of Tacks Tacks and Box Separate 128 42 160…Solve the following system of equations by Gauss Jordan method: 2?1 − ?2 + 7?3 = 11 8?1 − 2?2 + 5?3 = 25 4?1 − 3?2 − 2?3 = 16