Consider the problem faced by a summer camp recreation director who is trying to choose activities for a rainy day. Info

[answerhappygod]

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
Activity

Time

Popularity
Popularity
with





(minutes)
with Campers
Counselors
Art

1 - Painting

30

4

2


2 - Drawing

20

5

2


3 - Nature craft
30


3

1
Music
4 -
Rhythm band
20

5

5
Sports
5 -
Relay races
45

2

1


6 - Basketball

60

1

3
Computer
7 - Internet

45


1

1


8 - Creative writing
30


4

3


9 - Games

40

1

2
a. 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:
b. At most one art activity can be done.
c. No more than two computer activities can be done.
d. If basketball is chosen, then the music must be chosen.
e. At least 120 minutes of activities must be selected.
f. To keep the staff happy, the counselor rating should be no
higher than 10.