Problem Solving. Apply the Hamiltonian circuit.Nicole wants to tour Asia. She will start and end her journey in Tokyo and visitHong Kong, Bangkok, Seoul and Beijing. The airfares (in US Dollars) available to herbetween cities are given in the table.1. Find a route that represents the travel costs between cities and use thegreedy algorithm to find a low-cost route.TokyoHong KongBangkokSeoulBeijingTokyoHong Kong8451275470880----845320515340----Bangkok1275320520365-----Seoul470515520225------Beijing880340365225----

Given - Nicole wants to tour Asia she will start and end the journey in Tokyo and visit Hongkong ,…

Answered: Problem Solving. Apply the Hamiltonian…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...

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3. Hamiltonian Circuits and The Traveling Salesman Problem Apply the repeated nearest neighbor algorithm to the graph above. Starting at which vertex or vertices produces the circuit of lowest cost? A B C D E F What is the lowest cost circuit produced by the repeated nearest neighbor algorithm? Give your answer as a list of vertices, starting and ending at the same vertex. Example: ABCDEFA
Route Planning Brian needs to visit the pet store, the shopping mall, the local farmersmarket, and the pharmacy. His estimated driving times (in minutes) between thelocations are given in the table below. Use the greedy algorithm and the edge-pickingalgorithm to find two possible routes, starting and ending at home, that will helpBrian minimize his total travel time
In the game of Mastermind, one player selects a code by inserting any combination of four pegs in a row of four hidden holes. There are six colors of pegs to choose from. The second player tries to guess the code by repeatedly inserting four pegs in a row and receiving feedback from the codemaker on the number of pegs of the correct color and the number of pegs in the correct position. Suppose the codemaker first selects four pegs for the code from a large supply of six colors, then determines the order the pegs will be placed in the four holes. 1) How many ways may the codemaker select the four pegs for the Mastermind code? 2) How many different Mastermind codes are possible?
An entrepreneur is deciding how to subdivide a large old home toconvert it to a Bed-and-Breakfast (B&B). There are four alternatives: OptionA renovates all rooms, but leaves all walls intact, so the result would be twodouble rooms and three single rooms on the top floor, and on the main floor two further single rooms with a shared bathroom. Option B would renovate only the second floor but combine the single rooms in the main floor to create a single room with a bathroom. Option C combines the main floor rooms to create a single room with a bathroom, and combines the three single rooms on the top floor to create two double rooms. Finally option D would create five double rooms, each with its own bathroom. There are three event possibilities, a high demand, an average demand, and a low demand. The entrepreneur believes the probability of each event depends on the layout and availability of the rooms. Below are the details of the predicted income and the probability of occurrence…
A freelance computer consultant keeps a database of her clients, which contains the names S = {Acme, Brothers, Cores, Dion, Energy, Floyd, Globe, Hilbert}. The following clients owe her money: A = {Acme, Cores, Energy, Globe}. The following clients have done at least $40,000 worth of business with her: B = {Acme, Brothers, Cores, Dion}. The following clients have employed her in the last year: C = {Acme, Cores, Dion, Energy, Globe, Hilbert}. A subset of clients is described that the consultant could find using her database. HINT [See Example 4.] the clients who owe her money or have done at least $40,000 worth of business with her Write the subset in terms of A, B, and C.
When the traveling salesman problem (Hamiltonian circuit) is applied to six cities, how many distinct circuits are possible? 12 24 120 60
A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in the front and 3 in the back a. How many arrangements are possible with no restrictions? b. How many arrangements are possible if the parents must sit in the front? C. How many arrangements are possible if the parents must be next to each other?
A twenty-something single person is planning a ski vacation. Assume that he has 2 possible destinations: Utah, and Oregon. There are 4 ski areas in Utah with 4 available times for 3 of the areas, and 1 times for the other area. There are 4 ski areas in Oregon with 2 available times for 3 of the areas, and 4 times for the other area. (A "time" refers to a weekend for which there are vacancies at the ski lodge.) A trip plan involves the selection of a location, ski area, and a time. How many possible plans are there?

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