Dine-In Versus Kiosk: Break-Even and Operating Leverage
A QSR operator has won the food-court contract at a Kolkata mall and must choose one of two formats before signing a 24-month licence. Format A is a 60-seat dine-in outlet: monthly fixed cost ₹4,20,000 (rent, staff, utilities), variable cost ₹45 per cover. Format B is a takeaway kiosk: monthly fixed cost ₹1,80,000, variable cost ₹72 per cover because of packaging, aggregator commission and higher wastage. The average ticket is ₹120 per cover in both formats and both can physically serve any volume the mall generates. The mall's leasing team forecasts 7,000 covers a month, but tells the operator there is a 30% chance of 10,000 covers if the multiplex on the third floor opens on schedule. The licence cannot be exited before 24 months without a penalty equal to three months' fixed cost. The operator has ₹6 lakh of free cash and no appetite for a second bank loan.
1. Compute the monthly break-even volume in covers for each format and state what the gap between them means for the operator's risk.
Read the worked answer
Contribution per cover = average ticket ₹120 − variable cost.
Format A: 120 − 45 = ₹75; break-even = 4,20,000 ÷ 75 = 5,600 covers. Format B: 120 − 72 = ₹48; break-even = 1,80,000 ÷ 48 = 3,750 covers.
The gap of 1,850 covers is the safety margin the operator is buying or giving up. Against a base forecast of 7,000 covers, Format A clears break-even by 1,400 covers (25% cushion) while Format B clears it by 3,250 covers (87% cushion). A single weak month - a monsoon slump, a festival week, a competitor opening - is far more likely to push A into loss than B. Format B also demands less cash upfront: three months' fixed cost, the exit penalty, is ₹5.4 lakh for A versus ₹5.4 lakh... in fact ₹12.6 lakh for A against ₹5.4 lakh for B, and only B's penalty fits inside the ₹6 lakh of free cash. That asymmetry matters as much as the break-even itself, because the licence locks the operator in for 24 months whatever the footfall does.
2. At what monthly volume do the two formats earn exactly the same profit? Reconcile that answer with the break-even figures.
Read the worked answer
Set profit A = profit B at volume q:
75q − 4,20,000 = 48q − 1,80,000 27q = 2,40,000 q = 8,888.9, i.e. about 8,889 covers.
Above that volume, Format A's richer contribution per cover (₹75 vs ₹48) outruns its heavier fixed base; below it, B wins because A is still climbing out of its fixed cost.
Reconciliation with the break-evens: the indifference point must sit above both break-evens, and it does - 8,889 > 5,600 and > 3,750. Below 5,600 both formats lose money, and A loses far more (at 4,000 covers A is −₹1,20,000 against B's −₹12,000). Between 5,600 and 8,889 both are profitable but B is the more profitable. Only above 8,889 does the dine-in outlet earn its keep - and the forecast of 7,000 covers sits comfortably below that threshold. The decision therefore hinges on whether the operator genuinely believes in the multiplex scenario, not on which format is "better" in the abstract.
3. Compute expected monthly profit for each format using the mall's forecast, and recommend one, taking the exit penalty and financing constraint into account.
Read the worked answer
Volumes: 7,000 (70% chance) and 10,000 (30% chance).
Format A
- At 7,000: 75 × 7,000 − 4,20,000 = 5,25,000 − 4,20,000 = ₹1,05,000.
- At 10,000: 75 × 10,000 − 4,20,000 = 7,50,000 − 4,20,000 = ₹3,30,000.
- Expected = 0.7(1,05,000) + 0.3(3,30,000) = 73,500 + 99,000 = ₹1,72,500.
Format B
- At 7,000: 48 × 7,000 − 1,80,000 = 3,36,000 − 1,80,000 = ₹1,56,000.
- At 10,000: 48 × 10,000 − 1,80,000 = 4,80,000 − 1,80,000 = ₹3,00,000.
- Expected = 0.7(1,56,000) + 0.3(3,00,000) = 109,200 + 90,000 = ₹1,99,200.
Recommendation: Format B. It earns ₹26,700 more in expectation, and it dominates on every risk measure that matters here: a 3,750-cover break-even instead of 5,600, an exit penalty of ₹5.4 lakh instead of ₹12.6 lakh (only B fits inside the ₹6 lakh of free cash, so A breaches the no-second-loan constraint), and a downside loss of ₹12,000 rather than ₹1,20,000 at 4,000 covers. Format A's higher operating leverage only pays above 8,889 covers, which even the optimistic case clears by a bare 1,100.
The judgement, not the arithmetic, is what to do next: negotiate a modular fit-out with a 12-month break clause, so that if the multiplex opens and volumes settle above 8,889, the operator can migrate to dine-in without carrying the penalty of a wrong 24-month bet.