Question

Maximum of 800 tickets. Cost is $6 pre show and $9 at the door. must sell $5000 worth of tickets. what is the system of inequalities

Answer 1

Let x = number of pre-show tickets and y = number of at-the-door tickets.

System of inequalities:
- x + y ≤ 800 (at most 800 tickets total)
- 6x + 9y ≥ 5000 (revenue must be at least $5,000)
- x ≥ 0, y ≥ 0 (can't sell negative tickets)

(If you need whole tickets only, add x, y ∈ Z≥0.)