Schedule mock interviews on the Meeting Board, join the latest community discussions in our Consulting Q&A and find like-minded Interview Partners to connect and practice with!
Back to overview

Question about Ross Case "Opera House" Math Problem

This case is about an opera house with declining profits and we are asked to calculate the revenue from single show, club member, and group discount ticket sales on Thursday-Sunday. After discovering Thursday is operating with an $1800 loss, we are asked to calculate what % of Thursday single ticket purchases would need to be converted to increase Thursday night traffic enough to break even?”

I understand we need to increase profit by $1800 to breakeven (30,000 costs- 28,200 revenues). The case simply divides $1800/80 [the price of a club ticket]. Why wouldn't we instead set up the problem this way: 

single ticket price * (volume -x) + club ticket price * (volume + x)= 1800

After solving for x, subtract x from the current number of single tickets sold (210) and divide that number by 210 to calculate the %. 

-1666672546-hgxqgr8nxpzn.jpg
-1666672568-fenrf9ck0eqp.jpg
-1666672588-074j0khtin9i.jpg
1
1.4k
16
Be the first to answer!
Nobody has responded to this question yet.
Top answer
Pedro
Coach
on Oct 25, 2022
Bain | EY-Parthenon | Former Principal | 1.5h session | 30% discount 1st session

Because it says, on slide 3, that the client believes the opportunity is to sell more club tickets… Given that, you are only focusing on that type of tickets thereafter.

Similar Questions
Consulting
McKinsey PEI
on Apr 02, 2025
Global
7
2.6k
Top answer by
Deleted user
58
7 Answers
2.6k Views
+4
Consulting
Preparing for McKinsey PEI
on Jul 10, 2024
Global
7
5.1k
Top answer by
Nilay
Coach
Former McKinsey Sr Engagement Manager | Trained McKinsey interviewer (100+ interviews, 500+ coaching sessions)
116
7 Answers
5.1k Views
+4
Consulting
McKinsey feedback call after rejection
on Jun 19, 2024
Global
7
3.1k
Top answer by
Hagen
Coach
#1 recommended coach | >95% success rate | 8+ years consulting, 8+ years coaching and 7+ years interviewing experience
68
7 Answers
3.1k Views
+4