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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.
Break the problem into revenue, variable costs, and fixed costs, then compute profit step by step. State your assumptions clearly and show the arithmetic to demonstrate structured thinking.
Pro tip: After calculating, briefly mention how you'd sanity-check the result (e.g., profit margin) and note any assumptions that could affect the answer—this shows business acumen beyond raw math.
Multiply the number of tables by the average spend per table to get daily revenue.
Apply the 40% variable cost rate to the revenue to find total variable costs.
This gives the contribution margin, which covers fixed costs and profit.
Deduct the daily fixed costs from the contribution margin to arrive at daily profit.
Present the final dollar amount and optionally compute profit margin to verify reasonableness.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
Start by clarifying the cash flows: customer pays $15, Groupon keeps 40% ($6), so the business receives $9. The voucher gives the customer $30 of value, so the business must provide $30 in pre-discount goods/services. To break even (zero profit), the business's cost of goods sold (COGS) must equal the $9 received, meaning the pre-discount spend per table must be such that the COGS on that spend equals $9. Assuming a constant COGS percentage, solve for the pre-discount spend where COGS% × spend = $9. Alternatively, if the question implies the customer spends exactly the voucher amount ($30), then the break-even COGS% is 30%. But the question asks for break-even pre-discount spend per table, so we need to express spend in terms of COGS% or assume a typical COGS% and solve.
Pro tip: Always state your assumptions explicitly—especially the COGS percentage—and show how the answer changes with different COGS ratios. This demonstrates analytical rigor and business sense, which Capital One values.
Identify the cash flows: customer pays $15, Groupon takes 40% ($6), business nets $9. The voucher entitles the customer to $30 of pre-discount value.
Break-even means profit = 0, so revenue to business ($9) must equal the cost of goods sold (COGS) for the redeemed voucher. Thus, COGS = $9.
Let S be the pre-discount spend per table (the amount before the voucher discount). If the customer spends exactly $30, then S = $30. But if they spend more, S > $30. COGS = c × S, where c is the COGS percentage.
Set c × S = $9, so S = $9 / c. For example, if c = 30%, S = $30; if c = 40%, S = $22.50; if c = 20%, S = $45. The break-even pre-discount spend depends on the COGS ratio.
Explain that if the actual pre-discount spend per table exceeds this break-even S, the voucher customer generates positive profit; if below, a loss. Also note that if the customer spends exactly the voucher amount ($30), the break-even COGS% is 30%.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
Regular table profit is 0.6 times 36 which is 21.60.
First, clarify the given formulas for regular and coupon tables, as they are not provided in the question. Then, compute total revenue and total costs by applying the formulas to the respective table counts, using the average pre-discount spend of $36 to derive per-table values. Finally, sum the profits from regular and coupon tables to get the total daily profit.
Pro tip: In a real interview, always state your assumptions explicitly and ask for missing information—here, the formulas are critical. This demonstrates thoroughness and prevents you from solving the wrong problem.
Ask the interviewer to provide the exact formulas for profit per regular table and per coupon table, or state assumed formulas if not given. Confirm that the average pre-discount spend of $36 applies uniformly across all tables.
Using the formulas, calculate the profit for one regular table and one coupon table. For example, if regular profit = spend × margin and coupon profit = (spend - discount) × margin - redemption cost, plug in $36 and any given parameters.
Multiply the per-table profit for regular tables by 15 and for coupon tables by 10 to get total profit from each segment.
Add the two totals to get daily profit. Perform a quick sanity check: ensure coupon table profit is lower than regular (due to discount) and that the overall profit is reasonable relative to total pre-discount revenue (25 × $36 = $900).
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
First, recall the baseline daily profit from part one and the current profit from regular tables and coupon tables at the current average spend. Then set up an equation where the total profit equals the baseline, solve for the required average pre-discount spend per coupon table, and verify that the solution is feasible given discount constraints.
Pro tip: Clearly state your assumptions about the discount structure and whether the coupon table spend is pre- or post-discount; this shows you understand the business context and avoid ambiguity.
From part one, note the baseline total daily profit. Also, identify the profit contribution from regular tables (fixed) and the current profit from coupon tables at the current average spend.
Let x be the minimum average pre-discount spend per coupon table. Express total profit as regular table profit plus coupon table profit (which depends on x and the discount) and set it equal to the baseline profit.
Solve the equation for x, ensuring you account for any discount applied to coupon tables. If the discount is a percentage, the post-discount spend is x*(1 - discount rate).
Verify that the calculated x is realistic (e.g., not exceeding maximum possible spend) and interpret the result in the context of the business problem.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.