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Mo.
Please give only typed answer.
A. X12-X24 >= 0
B. X12+ X13-0
C. X12-X24=0
D. X12+ X24-1
E. None of the above.
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- Maximal flow problem. Determin the Maximal flow from node 1 to 7Define Vehicle routing problem (VRP). Explain its complications and variants. Define four different real-life problems that can be formulated as VRP. Explain their properties based on VRP variations.2. Frieda Millstone and her family live in Roanoke, Virginia, and they are planning an auto vacation across Virginia, their ultimate destination being Washington, DC. The family has developed the following network of possible routes and cities to visit on their trip: The time, in hours, between cities (which is affected by the type of road and the number of intermediate towns) is shown along each branch. Determine the shortest Weebingten Stayate Charletteaui route that the Millstone family can travel from Roanoke to Washington, DC.
- City Cab Company identified 10 primary pickup and drop locations for cab riders in New York City. In an effort to minimize travel time and improve customer service and the utilization of the company's fleet of cabs, management would like the cab drivers to take the quickest route between locations whenever possible. The travel times in minutes are shown on the arcs of the network. Note that there are two one-way streets and that the direction is shown by the arrows. 1 I 13 10 15 10 2 5 3 2 4 4 5 15 3 5 6 12 2 7 5 8 4 7 9 Using the above network of roads and streets, what is the quickest route a driver beginning at location 1 should take to reach location 10? path = 1, 10Because of transportation problem, salesperson Hafiz cannot go to city C. Which salesperson should be assigned to each region to minimize total time? Identify the optimal assignments and compute total minimum time (day).Consider the following transshipment network for finding the shortest route from node 1 to node 7. Min s.t. Node 1 Flows Node 2 Flows Node 3 Flows Node 4 Flows Node 5 Flows (a) Formulate a linear programming model of the problem. (Express your answers using Xi where each X;; is either 0 or 1 for the arc from node i to node j.) Node 6 Flows Node 7 Flows 9 For all X₁, = 0, 1. 18 w 3 4 5 6 7
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