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For networks (1) and (2), find the maximal flow from the source to the sink, given that the flow capacity from node I to node j is the number along branch (ij) nearest node i.
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- The State U doctoral program in business admits anaverage of 25 doctoral students each year. If a doctoralstudent spends an average of 4 years in residence at StateU, how many doctoral students would one expect to findthere?A city would like to know how many vehicles it could move through its streets in an emergency. The most likely situation is an evacuation starting at the school and ending at the park. The connections between these two locations, plus their capacity and direction, is shown below. School B Path Capacity Oak Street Elm Street A 10 с E B C 20 15 1 Street D 30 2nd Street E 25 F F 20 Park G 15A city would like to know how many vehicles it could move through its streets in an emergency. The most likely situation is an evacuation starting at the school and ending at the park. The connections between these two locations, plus their capacity and direction, is shown below. School A B Path Capacity Oak Street Maximum Flow Elm Street с E 1* Street 2nd Street D E 30 20 A C F B 30 15 30 5 (Round your answer to the nearest whole number.) F G Park G 5
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- John is travelling from home in Sydney to a hotel in Perth. Three stopovers on the way a number of choices of towns for each stop only one hotel to choose from in each town, except for Perth, where there are three hotels (J, K, and L) to choose from Each trip has a different distance resulting in a different cost (petrol) (cost is marked by each arc) Hotels have different costs (cost is marked by each node (town)) ● ● ● The goal is to select a route to and a hotel in Perth so that the overall cost of the trip is minimized. Use dynamic programming (forward recursion) to solve this problem by constructing the usual tables for each stage. Stage: 0 (Sydney) 1 Petrol cost start 22 8 12 Hotel cost 70 80 B 80 25 10 2 50 A E 70 30 10 18 8 7 3 50 F 70 70 H 60 8 10 10 4 (Perth) 50 13 K 10 15 L 60 70A city would like to know how many vehicles it could move through its streets in an emergency. The most likely situation is an evacuation starting at the school and ending at the park. The connections between these two locations, plus their capacity and direction, is shown below. School A B Path Capacity Oak Street Maximum Flow Elm Street C E 1at Street 2nd Street F A C D F B 15 15 10 E 10 25 10 (Round your answer to the nearest whole number.) Park G 10Please don't forget to show residuals... needed for the Ford Fulkerson method