Solve Problems Using Systems of Linear Equations
-Steve invests in a circus production. The cost includes an overhead of $\$ 16,000$, plus production costs of $\$ 8000$ per performance. A sold-out performance brings in $\$ 10,000$. Determine the number of sold-out performances, $x$, needed to break even.
A) 8 performances
B) 9 performances
C) 10 performances
D) 2 performances

Question

Quizplus · Accepted Answer

The total cost is $16000 + 8000x$ and the total income is $10000x$. To break even, the total cost must equal the total income, so we have:$$16000 + 8000x = 10000x$$Solving for $x$, we get:$$2000 = 2000x$$$$x = 1$$Therefore, Steve needs to have 1 sold-out performance to break even.

Solve Problems Using Systems of Linear Equations -Steve Invests in a Circus

Solve Problems Using Systems of Linear Equations
-Steve Invests in a Circus