(a) Give a general definition of the variables necessary in this problem so that each activity can be considered for inclusion in the day's schedule. (Select all that apply) ti= the number of minutes spent on activity t cj=1 if an activity from category j is used; 0 otherwise, where f=1,2,3,4 correspond to Art, Music, Sperts, and Computer respectively psj= popularity of activity i with counselors pcj= popularity of activity i with campers xj=1 if activity f is chosen; 0 otherwise (b) The populanty ratings are defined so that 1 is the most popular, If the objective is to keep the campers happy, what should the objective function be? Min Write constraints for these restrictions: (c) At most, one art activity can be done. (d) No more than two computer activities can be done. (e) If basketball is chosen, then thythm band must be chosen. (f) At least 125 minutes of activities must be selected. (g) No more than 160 minutes of activities may be selected. (h) To keep the staff happy, the counselor rating should be no higher than 10