5
QuizMultiple Choice

Break-Even Points

Question 5 • LJISD-TX-Precalculus-B-CR

At the local ballpark, the team charges $5 for each ticket and expects to make $1,400 in concessions. The team must pay its players $2,000 and pay all other workers $1,600. Each fan gets a free bat that costs the team $3 per bat. How many tickets must be sold to break even?

Answer
A
440
B
1,100
C
2,500
D
275

Explanation

Let x be the number of tickets sold. Ticket and concession revenue is $5x + $1,400, while total costs are $2,000 + $1,600 + $3x. At break-even, revenue equals costs: $5x + $1,400 = $3,600 + $3x, so 2x = $2,200 and x = 1,100. The answer is 1,100 tickets.

AI-written and checked against the verified answer.

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