Question

The Drama Club is selling tickets to the school play. The tickets are $6 for adults and $3 for students. The club needs to raise $1.200 to pay for the costumes and equipment. The auditorium can seat no more than 300 people.The club makes $5for every adult ticket and $2 for every student ticket it sells. Use the information below.

let x= adult tickets
let y= student tickets
then 6x+3y>1200
and x+y<300
profit function P=5x+2y
how many tickets for each type should be colf to maximize the total profit?
A 100 adult tickets and 200 students
B 300 adult and 0 students
C 0 adult and 300 students tickets
D 200 adult tickets and 0 student

Answer 1

B) The profit is maximized when 300 adult tickets and 0 student tickets are sold

Explanation:

We are given this equation for the profit made by selling tickets to the school play.

P = 5x + 2y

• where x = adult tickets; y = student tickets

We see that adult tickets are worth $5.00 each, while student tickets are worth less at $2.00 each.

It makes sense that selling more adult tickets than student tickets would result in greater profit.

Therefore, the answer choice that states B) The profit is maximized when 300 adult tickets and 0 student tickets are sold is the correct answer.