(100 points) Turkish Basketball Federation wants to schedule games for the next 3 days. There are teams and 6 games to be played. The following table shows the teams that play in each game. For instance, game 2 is played between team A and team C Game Team A Team B Team C Team D Team E 1 I 2 x 3 4 5 6 x Based on the previous years' data, the number of people that will watch game on daytis predicted as where 131,2,3,4,5,6 and 1,2,3 Please formulate an integer program that will maximize the total number of people watching these games by optimally assigning the games to 3 days. Your formulation should involve the following restrictions - Each game has to be played one time and be scheduled on a day As it is going to be tiring a team should not play more than 2 games in a day - Since day 1 is the training day for team Dream D should not play on day Since day 3 is a weekend day at least 2 games should be played on day 3 Due to refer related restrictions game 1 can only be played on day 1 if game is played on day 2 or if game 6 is not played on day 3 In order to have full credit, you should write your decision variables clearly and explain the objective function and constraint formulations briefly . . SAMSUNG (100 points) Turkish Basketball Federation wants to schedule games for the next 3 days. There are teams and 6 games to be played. The following table shows the teams that play in each game. For instance, game 2 is played between team A and team C Game Team A Team B Team C Team D Team E 1 I 2 x 3 4 5 6 x Based on the previous years' data, the number of people that will watch game on daytis predicted as where 131,2,3,4,5,6 and 1,2,3 Please formulate an integer program that will maximize the total number of people watching these games by optimally assigning the games to 3 days. Your formulation should involve the following restrictions - Each game has to be played one time and be scheduled on a day As it is going to be tiring a team should not play more than 2 games in a day - Since day 1 is the training day for team Dream D should not play on day Since day 3 is a weekend day at least 2 games should be played on day 3 Due to refer related restrictions game 1 can only be played on day 1 if game is played on day 2 or if game 6 is not played on day 3 In order to have full credit, you should write your decision variables clearly and explain the objective function and constraint formulations briefly . . SAMSUNG