Question

4) Dutchess Stadium is holding a special music event this summer. The organizers will charge $60per ticket. If stadium, labor, and other overhead costs will total $39,000, how many tickets will needto be sold to earn a profit of at least $50,000? (Make sure to state your final answer)

Answer 1

Given :

The charges per ticket = $60

The stadium, labor, and other overhead costs will total $39,000

We need to find the number of tickets to earn a profit at least $50,000

So, let the number of tickets = x

So,

The total charges should equal the profit and the total cost of the stadium, labor, and other overhead

so,

$\begin{gathered} 60x=50,000+39,000 \\ 60x=89,000 \\ x=\frac{89,000}{60}=1,483.33 \end{gathered}$

the number of tickets is integer number

So,

The number of tickets should be 1,484