Answer:
Maximum people attending program
Adult = 140
Student = 70
Explanation:
Provided information,
Maximum seating capacity in the theater = 210 people
For each pair of adult there must be at-least one student.
Thus, maximum revenue can be calculated as follows:
Fee for each adult = $10
Fee for each student = $5
For each combination of two adult and one student revenue = $10 + $10 + $5 = $25
Total people in each combination = 3
Thus number of combinations possible =
Thus, number of adults attending program = 70 2 = 140
Number of students = 70 1 = 70
Maximum amount = 140 $10 + 70 $5
= $1,750
Maximum people attending program:
Adult = 140
Student = 70