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Tissue manufacturer Switex is a monopolist with a marginal cost of $MC=6$ and faces a demand curve of the following form:

$$P = 20 - Q_D$$

Switex is planning to put a coupon up on its website that gives $X$ off the price for anyone interested. Switex knows that its consumers with marginal value $10$ or greater will never bother to use a coupon, while all customers with marginal value less than $10$ will always use coupons.

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