18 2 20 10 X36+X46+X56-0 O X36+X46+X56-1 3 X36+X46+X56<=1 15 O X53+X56-X15-X35-0 10 10 5 From the above shortest route problem, constraint for node 6 is 25 10 14
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- A person starting in Columbus must visit Great Falls, Odessa, and Brownsville, and then return home to Columbus in one car trip. The road mileage between the cities is shown. Columbus Great Falls Odessa Brownsville Columbus --- 102 79 56 Great Falls 102 --- 47 69 Odessa 79 47 --- 72 Brownsville 56 69 72 --- a)Draw a weighted graph that represents this problem in the space below. Use the first letter of the city when labeling each b) Find the weight (distance) of the Hamiltonian circuit formed using the nearest neighbor algorithm. Give the vertices in the circuit in the order they are visited in the circuit as well as the total weight (distance) of the circuit.Maximize 8x + 9y Subject to -- x + 2 y 0 a) Solve using simplex methodDetermine the total weight of this graph's minimum-weight spanning tree.
- Draw the network for this transportation problem. (Let X;; represent the flow from node i to node j.) Xij 300 1 300 2 O Min 2x13 + 4x14 + 4X15 + 10x23 + 11x24 + 11x25 s.t. 11 11 10 4. 4 2 X13X14 + X15 ≤ 500 X23 + x24 + X25 ≤ 400 X13 + x23 = 300 X14 +*24 = 300 X15 + 25 = 300 Xij 20 3 300 4 400 5 500 300 1 11 300 2 300 3 11 10 4 4 2 4 400 500 1 5 500 400 2 2 4 4 10 11 11 3 300 4 300 5 300 500 1 2 400 2 300 3 4 10 11 11 4 300 5 300solve for y in part bA health Centre will be built to serve 7 communities. The geographical location of the communities and their population is shown in the table below. Communities A, X =2.5 (km), Y=4.5(km), Population( 000's)=2 Communities B, X =2.5 (km), Y=2.5(km), Population( 000's)=5 Communities C, X =5.5 (km), Y=4.5(km), Population( 000's)=10 Communities D, X =5 (km), Y=2(km), Population( 000's)=7 Communities E, X =8 (km), Y=5(km), Population( 000's)=10 Communities F, X =7 (km), Y=2(km), Population( 000's)=20 Communities G, X =9 (km), Y=2.5(km), Population( 000's)=14 There is a possibility of building the Centre in two communities, community C and F. Based on the Demand-Distance criterion what is your recommendation for the site of the Centre. The distances to be measured based on Rectilinear method. Based on…
- Using the grid technique to determine the least-cost location (warehouse) for this problem: Tons Rate X - Coordinates Y – Coordinates S1 200 0.5 2 14 S2 300 0.6 6 10 M1 100 1 2 2 M2 100 2 10 14 M3 100 1 14 18 M4 100 2 14 6 The Grid center coordination is ____ and _____ (round the results to 1 decimal place) Group of answer choices (9.9; 7.8) (5.5; 6.9) (8.7; 10.5) (10.5; 6.4) (9.9; 8.9)Please show solution and formula used. Assuming the total number of students studying in the top four universities in the Philippines is approximately 158,000. And the distribution is as follows: University of the Philippines (UP) - 40% of the total number Ateneo de Manila University (ADMU) - 23,700 De La Salle University (DLSU) - 25% of the total number University of Santo Tomas - 20% of the total number And only the following number of students owns a tablet computer: 20% of UP students 85% of ADMU students 90% of DLSU students 85% of UST students What is the total market penetration of tablet computers among the students of the top four universities? What is the total market size of tablet computers in the top four universities?Draw the network for this transportation problem. (Let X;; represent the flow from node i to node j.) Min 2x13 + 4x14 + 4X15 + 10X23 + 11x24 + 11x25 s.t. X13 + X14 + X15 ≤ 500 X23 + x24 + X25 ≤ 400 X13 + x23 300 X14 + X24 300 X15 + X25 300 = = =
- Long-Life Insurance has developed a linear model that it uses to determine the amount of term life insurance a family of four should have, based on the current age of the head of the household. The equation is:y = 850 − .1xwherey = Insurance needed ($000)x = Current age of head of household a. Plot the relationship on a graph. b. Use the equation to determine the amount of term life insurance to recommend for a family of four if the head of the household is 30 years old.b) The Scott Tractor Company ships tractor parts from Omaha to St. Louis by railroad. However, a contract limits the number of railroad cars the company can secure on each branch/arc during a week. Given these limiting conditions, the company wants to know the maximum number of railroad cars containing tractor parts that can be shipped from Omaha to St. Louis during a week. Phoenix Des Moines 3 5 6. 6. 1. Dallas 2 Omaha St. Louis 7. 3 Denver 6. ActivateW O 31°CWe are going to see the movie Fatal Repulsion. Thereare three parking lots we may park in. One is one block eastof the theater (call this lot 1); one lot is directly behindthe theater (lot 0); and one lot is one block west of thetheater (lot 1). We are approaching the theater from the east.There is an 80% chance that lot 1 will have a vacantspace, a 60% chance that lot 0 will, and an 80% chance thatlot 1 will. Once we pass a lot, we can’t go back to it. Assumethat when we are at a given parking lot, we can determinewhether it has any vacant spaces, but we can’t see any ofthe other lots. Our dates for the evening will assess us apenalty equal to the distance (in blocks) that we park fromthe theater. If we find no space, they will assess a penaltyof 10 (and never go out with us again). What strategyminimizes our expected penalty? Answer the same questionif there is a 70% chance that lot 0 has a vacant space.