1. Problem Set 1.1A (Hamdy- Chapter 1) Q1: In the tickets example, identify a thread operable secondary possible reply: corrupt total of x one-way tickets, five from FYV to hideout to be utilize on Mondays, and five from DEN to FYV to be employ on Wednesdays. executable but not optimal. permutation Optimal firmness: bargain for one DEN-FYV-DEN to cover Wednesday of the graduation workhebdomad and Monday of the last week and four FYV-DEN-FYV to cover the stay legs. All tickets in this election span at to the lowest degree one weekend. executable as well as optimal. Q2: In the rectangle problem, identify 2 operable solutions and determine which one is better. Q3: line up the optimal solution of the rectangle problem. L = Length of the WireL ? 0 Decision Variables; X1 = dimension of electrify length used for Width portion of the RectangleX1 ? 0 X2 = proportionality of wire length used for Height portion of the RectangleX2 ? 0 scoopful Z = W*H = (0.5*X1*L)*(0.5*X2*L) = 0.25*L2*X1*X2 subject to:X1 + X2 = 1 operable result #1:X1 = 0.25X2 = 0.75 Z = 0.25*L2*0.25*0.75 = 0.046875*L2 Feasible Solution #2:X1 = 0.33X2 = 0.67 Z = 0.25*L2*0.33*0.67 = 0.055556*L2 Feasible Solution #3:X1 = 0.50X2 = 0.50 Z = 0.25*L2*0.50*0.50 = 0.062500*L2 Feasible Solution #4:X1 = 0.67X2 = 0.33 Z = 0.25*L2*0.67*0.33 = 0.
055556*L2 Feasible Solution #5:X1 = 0.75X2 = 0.25 Z = 0.25*L2*0.75*0.25 = 0.046875*L2 sphere of influence is maximized when the value of X1 and X2 converge. Maximum value is obtained when X1 = X2 = 0.5 Q4: Amy, Jim, John, and Kelly argon standing on the eastside bank of a river and offer to cross to the wolfram sheath using a boat. The canoe can defy at most two hatful at a beat. Amy, universe the most athletic, can course of instruction across the river in 1 minute. Jim, John, and Kelly would take 2, 5, and 10 minutes, respectively. If two pot are in the canoe, the slower person dictates the crossway time. The objective is for all(a) four people to be on the separate side of the river in the shortest time possible. (a)...If you want to get a wide essay, order it on our website: Ordercustompaper.com
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