Task 1: 6.4 Application of Linear Systems A community theater is putting on a performance. ⦁ An adult ticket sells for a dollars.

⦁ A child’s ticket sells for c dollars.

System A - adults 600, children 200
System B - adults 700, children 100
System C - adults 500, children 300

⦁ The manager needs to collect $5000 in revenue to cover the theater’s expenses.

⦁ The theater can seat 800 people, and the manager expects to sell out.

⦁ The manager wants to price the adult ticket at three times the cost of a child’s ticket.

The manager wants to find the break-even point where the theater’s income equals its expenses. You need to determine the price of each ticket given the number of tickets sold for the three Systems below.