Time Activity (minutes) -1 - Painting 30 Consider the problem faced by a summer camp recreation director who is trying to choose activities for a rainy day. Information about possible choices is given in the table below. Category Art 2 Popularity with Campers Popularity with Counselors 4 2- Drawing 3- Nature craft Music 4 Rhythm band Sports 5- Relay races 45 16 - Basketball 60 Computer 7- Internet 45 8 Creative writing 9- Games 40 323246434 20 30 20 30 535 2114 1 121513-32 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. b) The popularity ratings are defined so that 1 is the most popular and 5 is the least. If the objective is to keep the campers happy, what should the objective function be?