A camp manager is trying to choose activities for a rainy day. Information about possible choices is given in the table below. Art Category 1 - Painting Activity Time Popularity with Campers Popularity with Counselors (minutes) 30 2 - Drawing 20 - 3 Nature craft 30 Music 4- Rhythm band 20 Sports 5 - Relay races 45 2 6 - Basketball 60 1 Computer 7 - Internet 45 1 8- Creative writing 30 4 9 - Games 40 1 221513-32 45352 a. b. 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. The popularity 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? 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 the music must be chosen. f. At least 120 minutes of activities must be selected. g. No more than 165 minutes of activities may be selected. h. To keep the staff happy, the counselor rating should be no higher than 10.