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Suppose the firm can apply a 'volume discount', pricing the first good at $10, pricing the second unit at $9, and pricing the third unit

Suppose the firm can apply a 'volume discount', pricing the first good at $10, pricing the second unit at $9, and pricing the third unit at $8, and so on. What is the smallest per-unit price the firm will want to offer? Assuming the volume discount ends at (or before) that price, what will the firm's profit be?

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