## Solution

Paragraphs highlighted in green indicate diagrams or tables that can be shared in the “Case exhibits” section.

Paragraphs highlighted in blue can be verbally communicated to the interviewee.

Paragraphs highlighted in orange indicate hints for you how to guide the interviewee through the case.

The following framework/structure provides an overview of the case:

### I. Background info

Provide some additional information to help the interviewee **understand the situation** and the problem and see if candidate starts explaining the profit framework structure.

- Taxi operator has
**500 taxis.**
**Investment target is 20% ROI over a period of 1 year.**

### II. Profit

#### Calculating revenue:

When asked on data to calculate revenue, interviewer can provide following data verbally.

- Airport has
**84 m passengers** per year.
**20%** goes into Dubai using a taxi, remaining 80% are transit passengers.
- Between 12.00 AM (midnight) and 6.00 AM,
**50%** requires a taxi (this takes into account multiple passengers sharing a taxi).
- Between 6.00 AM and 12.00 AM (midnight), the other
**50%** requires a taxi (this takes into account multiple passengers sharing a taxi).
- Night fares are
** $80**.
- Day fares are
**$70.**
- Taxis operate
**24/7** - assume no need for fuel, maintenance or traffic-jams.
- Every trip takes
**60 minutes** to leave the airport and get back.

Now we can calculate revenue:

- Daily revenue of one taxi is: (6*$80)+(18*$70)=$1,740.
- Annual revenue of 500 taxis are: (500*$1,740)*365=$317.5 m.

Keep in mind that this calculation implicitly assumes a 100% utilization which is alright for simplicity's sake. But it is actually not correct since supply exceeds demand in the daytime shift. A great candidate makes that point by calculating demand per hour and compares that to supply per hour (segmented in daytime and night). Here's a short calculation:

Supply: **2.100 taxis per hour** in daytime and night (we assume non-stop driving taxis with 1h per ride)

Demand:

- Night: 50%*20%*84,000,000=8,400,000 passengers per year -
**3,835** passengers per hour; (8,400,000/365/6hours)
- Daytime: 50%*20%*84,000,000=8,400,000 passengers per year -
**1,278** passengers per hour; (8,400,000/365/18hours)

**Result:** During daytime the utilization is actually at 61% (1,278/2,100) which is quite below 100%. This could change the overall result a lot.

#### Calculating cost:

When asked on data to calculate cost, interviewer can provide following data verbally.

- Drivers get
**50% **of the revenue instead of a salary.
- Operating costs are
**$5,000 per cab per year**.
- License costs are
**$250,000 per cab** paid in advance as a **one-time fee**.

Now we can calculate costs:

- Total payroll is 50%*$317.5 m=$158.8 m.
- Operating costs are $5,000*500=$2.5 m.
- Total license costs are $250,000*500=$125 m.

### III. ROI

We can now calculate ROI. Our target is **20%.**

Total earnings over 1-year period: $317.5 m-$158.8 m-$2.5 m=$156.2 m.

ROI: (($156.2 m-$125 m)/$125 m))*100%=24.96%. So our return is an estimated **25% for the first year. **Thereafter it will increase to 125% since license costs are not recurring.** **

25% return>20% so taxi-operator should continue with the investment.

###