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A manager in charge of buying football tickets for all her friends. There are 10 games to choose from, and 25 people in the group. Each person specifies the games that they can go to and their top 3 choices from amongst that set (i.e., of the 10 games, the 3 they most want to go to). There is a limit on how many tickets the manager can buy for each game. Each game has a different cost. She also has has a fixed budget B to spend, and everyone must go to at least 4 games. Please state all your decision variables and parameter notation. Write a linear program (with continuous, integer, and/or binary variables) that decides who goes to which game so as to minimize the cost of ensuring that everyone goes to 4 games without violating the number of tickets per game.

A manager in charge of buying football tickets for all her friends. There are 10 games to choose from, and 25 people in the group. Each person specifies the games that they can go to and their top 3 choices from amongst that set (i.e., of the 10 games, the 3 they most want to go to). There is a limit on how many tickets the manager can buy for each game. Each game has a different cost. She also has has a fixed budget B to spend, and everyone must go to at least 4 games. Please state all your decision variables and parameter notation. Write a linear program (with continuous, integer, and/or binary variables) that decides who goes to which game so as to minimize the cost of ensuring that everyone goes to 4 games without violating the number of tickets per game.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question 1. A manager in charge of buying football tickets for all her friends. There are 10 games to choose from, and 25 people in the group. Each person specifies the games that they can go to and their top 3 choices from amongst that set (i.e., of the 10 games, the 3 they most want to go to). There is a limit on how many tickets the manager can buy for each game. Each game has a different cost. She also has has a fixed budget B to spend, and everyone must go to at least 4 games. Please state all your decision variables and parameter notation. Write a linear program (with continuous, integer, and/or binary variables) that decides who goes to which game so as to minimize the cost of ensuring that everyone goes to 4 games without violating the number of tickets per game.
Transcribed Image Text:Question 1. A manager in charge of buying football tickets for all her friends. There are 10 games to choose from, and 25 people in the group. Each person specifies the games that they can go to and their top 3 choices from amongst that set (i.e., of the 10 games, the 3 they most want to go to). There is a limit on how many tickets the manager can buy for each game. Each game has a different cost. She also has has a fixed budget B to spend, and everyone must go to at least 4 games. Please state all your decision variables and parameter notation. Write a linear program (with continuous, integer, and/or binary variables) that decides who goes to which game so as to minimize the cost of ensuring that everyone goes to 4 games without violating the number of tickets per game.
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