← Capital One Interview Insights
I drew the demand curve fine but fumbled explaining the profit shape.
Start by sketching a downward-sloping demand curve, noting that as price increases, quantity demanded decreases. Then derive the profit curve by combining revenue (price × quantity) and costs, explaining that profit initially rises with price, reaches a maximum, and then falls due to declining demand. Emphasize the trade-off between margin and volume.
Pro tip: Mention that the profit-maximizing price is not necessarily the one that maximizes revenue, and that in practice, you'd use A/B testing or regression to estimate demand elasticity and optimize price.
Draw a downward-sloping curve with price on the y-axis and quantity demanded on the x-axis, illustrating the law of demand.
Explain that profit = (price - variable cost) × quantity - fixed costs, assuming variable cost per unit is constant.
Plot profit versus price, showing an inverted U-shape: profit increases as price rises from zero, peaks at the optimal price, then decreases as demand drops.
At low prices, high volume but low margin yields low profit; at high prices, high margin but low volume also yields low profit; the peak balances these forces.
Discuss how to estimate the demand curve using historical data, experiments, or elasticity models to find the profit-maximizing price.
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