Capital One·Data Scientist·Technical Phone Screen
- A restaurant has 20 tables per day with an average spend of $30 per table, variable costs at 40% of revenue, and fixed costs of $100 per day. What is the daily profit?
- Using a Groupon voucher model where customers pay $15 for a $30 voucher and Groupon keeps 40% of that $15, what is the break-even pre-discount spend per table for a voucher customer to contribute zero profit?
- On a day with 25 tables total (10 using vouchers, 15 regular), where average pre-discount spend across all tables is $36, calculate the total daily profit using the given formulas for regular and coupon tables.
- Holding regular tables at $36 average spend and table counts fixed, what minimum average pre-discount spend per coupon table brings total daily profit back up to the baseline profit from part one?
“Straightforward setup: revenue is 20 times 30 which is 600, variable costs are 0.4 times 600 which is 240, subtract fixed costs of 100, so profit is 260.”