Use this data file to complete the blanks! please state answers clearly in Bold!! Thank you so much!!

A B C D E F Umpire Game 1 Game 2 Game 3 Game 4 Game 5 3 4 2 0 2 2 3 1 2 0 2 N W OW NW 5 0 4 2The scheduler for a softball league is in the process of scheduling the umpires for each game in the coming week. There are ve games in the coming week and six umpires are available Every game needs exactly one umpire and an umpire can be scheduled for no more than one game in the week. The following table shows the number of times each umpire has been assigned to at least one ofthe two teams in a game thus far in the season For example, Umpire 2 has previously been assigned to one of the teams playing in Game 1 three times. The objective of the scheduler is to assign umpires to the games so as to minimize the number of times the umpires have previously been paired with these teams. The number of times each umpire has been assigned with the teams playing next week are as follows. Umpire Game 1 Game 2 Game 3 Game 4 Game 5 1 3 3 4 2 0 2 2 2 2 3 1 3 3 2 D 2 3 4 0 1 1 5 1 5 3 0 1 4 1 6 2 1 2 2 2 (a) Formulate a model that will assign umpires to games and minimize the sum of the number times the umpires have been assigned to their assigned teams previously in the season (Let xi}. = 1 if Umpire i is assigned to Gamej, 0 otherwise for i:1,2,3,4,5,6;j= 1.2.3.4, 5') Min s.to Umpire 1 assignment Umpire 2 assignment Umpire 3 assignment Umpire 4 assignment Umpire 5 assignment Umpire 6 assignment Game 1 assignment Game 2 assignment Game 3 assignment Game 4 assignment Game 5 assignment x02 Dfori:1,2,3,4,5,6;j=1,2131415