The problem
An independent city museum is considering increasing admission prices. Its director wants your recommendation.
This is an illustrative case. Interviewer answers and numerical assumptions are introduced as the walkthrough progresses.
Your task
What would you ask the director before assessing the admission-price change? Explain which decisions the answers would help you make.
Worked solution
Establish what the increase is meant to achieve
Start by confirming the decision: “You want a recommendation on whether to increase admission prices.” Then ask:
“What financial result does the museum need from the change, and over what period?”
The interviewer replies:
“Cover a £50,000 operating shortfall next year while preserving access for children and school groups.”
The target is an improvement in the operating result. An extra £50,000 of ticket revenue will only close the gap if any changes in visitor costs and other income are accounted for.
You also know this is a mission-led decision. An option that raises enough money but violates the access requirement does not solve the stated problem.
Check your reasoning
A museum director asks whether to raise admission prices. The brief does not state the financial target or which visitors must retain free access.
Which question best clarifies the decision before calculating?
Identify the tickets you can change
Ask:
“Which admission categories can change, and which must remain free?”
The interviewer confirms that under-18s, school groups and the museum’s two monthly community evenings must remain free. Only standard adult admission prices can change.
This is a direct instruction for the calculation: apply the increase to paid adult visits. Do not multiply it by total museum attendance.
Judge access and engagement alongside income. A non-paying visitor can advance the museum's purpose without representing a sale it could have made at the proposed price.
Say what you will assess
A concise opening is:
“I’ll assess whether changing standard adult admission can close next year’s £50,000 operating gap, allowing for attendance and other income changes. I’ll keep the free categories and community evenings intact.”
You can then examine the current paid-adult base, price response, contribution per visit and how the change would be communicated and tested.
There is no need to ask for a detailed elasticity estimate before you have established which ticket is changing. You can request evidence on demand response once you reach the pricing analysis.
Calculate the attendance the price needs to retain
Once the scope is clear, ask for paid attendance, the current ticket price and the cost of serving a visit. The interviewer supplies 40,000 annual visits, including 20,000 paid adult visits at £10 each, with £2 incremental servicing cost per paid visit. Management is considering a £13 adult ticket. For this first calculation, hold free attendance, fixed costs and other income unchanged.
Current contribution from paid adult admission is:
20,000 × (£10 − £2) = £160,000.
At the proposed £13 price and unchanged paid attendance, contribution becomes £220,000, an increase of £60,000. That would cover the £50,000 gap with £10,000 to spare.
But the museum needs at least £210,000 of paid-admission contribution to close the gap. At £11 contribution per paid visit, it needs approximately 19,091 paid visits.
The proposed price can therefore tolerate only about a 4.5% decline in paid visits while still achieving the target under these assumptions.
The calculated comparison below tests three attendance scenarios: unchanged visits, the minimum needed to meet the target, and a hypothetical 10% decline to 18,000 paid visits. These are scenarios, not observed responses to the new price.
| Paid adult visits at £13 | Contribution after £2 visitor cost | Improvement versus today | Target met? |
|---|---|---|---|
| 20,000 | £220,000 | £60,000 | Yes |
| 19,091 | £210,001 | £50,001 | Just |
| 18,000 | £198,000 | £38,000 | No |
A 30% ticket-price increase does not guarantee a 30% improvement in the museum’s operating result. The paid audience, attendance response and visitor costs all matter.
Try the calculation
A museum has 4,000 paid adult visits a year at £12 each and £2 variable cost per paid visit. It proposes a £17 price and needs £5,000 more annual contribution. Free attendance, all other income and fixed costs stay unchanged.
What is the minimum number of paid adult visits needed at the new price?
Include the income attached to a visit
Next, ask whether a paid visit generates income beyond admission. The interviewer adds £3 of net contribution per paid adult visit from the shop and café. Applying that new information to the 18,000-visit scenario, losing 2,000 visits also removes £6,000 of contribution.
In the 18,000-visit scenario, the admissions improvement of £38,000 becomes a total improvement of £32,000, leaving an £18,000 shortfall. The £3 figure is contribution after the associated costs, not gross shop sales.
You should also investigate whether a higher price shifts people into free evenings, changes group behaviour or affects membership. Those outcomes can be perfectly compatible with the mission while changing the financial result. Measure them instead of assuming every person who leaves the paid category disappears from the museum entirely.
Test the sensitive assumption
The critical unknown is now the response of paid adult attendance. I would look at the museum’s own previous price changes, comparable ticket categories and visitor research, then assess a limited test if the case permits one.
When comparing periods, account for exhibition appeal, seasonality and opening hours. A blockbuster exhibition can increase attendance even if a price increase discourages some visitors. Observing higher attendance after a price change would not, by itself, show that price had no effect.
If the evidence suggests a 10% attendance decline, the proposed increase does not close the gap in our example. You can recommend a smaller or differently designed change, additional funding measures, or a revised operating plan. Keep the financial gap visible rather than declaring success because ticket revenue rose.
Practise holding both requirements
Try explaining the recommendation in one sentence that includes money and access. For example:
“I would test the £13 adult price while preserving the free categories, but approve the full change only with a credible route to at least £50,000 of additional operating contribution after attendance effects.”
The pricing case-opening drill lets you practise defining the target before calculating. Continue with the pricing framework to work through customer value, alternatives and rollout choices.
Case setup drill
How would an MBB interviewer judge your case opening?
Urban Parking Operator Dynamic Pricing Pilot
Practise Urban Parking Operator Dynamic Pricing Pilot aloud and review feedback on your reasoning.