Question

You are thinking of opening a Broadway play, I Love You, You’re Mediocre, Now Get Better! It will cost $5 million to develop the show. There are 8 shows per week, and you project the show will run for 100 weeks. It costs $1000 to open the theater each night. Tickets sell for $50.00, and you earn an average of $1.50 profit per ticket holder from concessions. The theater holds 800, and you expect 80% of the seats to be full. a. Given your other assumptions, how many weeks will the play have to run for you to earn a 100%

Answer 1

Answer:

39 weeks

Explanation:

initial investment = $5 million

Your goal is to a better person and get rich by doubling your development costs. You want to earn $10 million in profits, so you will need to sell a lot of seats.

8 shows per week x 100 weeks = 800 shows

revenue per ticket = $50 + $1.50 = $51.50

tickets sold per show = 800 x 80% = 640

total revenue per show = 640 x $51.50 = $32,960

variable cost per show (assuming 7 nights per week) = $7,000 / 8 = $875

contribution margin per show = $32,960 - $875 = $32,085

number of shows needed to earn $10 million in profits = $10,000,000 / $32,085 = 311.67 shows

number of weeks = 311.67 / 8 = 38.96 ≈ 39 weeks