Mr. Oak is the only supplier of email updates on avalanche conditions in the mountains above the two towns of Kanto and Hoenn. The marginal cost of producing these updates is zero (with zero fixed costs) and the inverse demand for these updates in Kanto is P= 46 - Q and P = 11 - Q in Hoenn. Suppose that in each of the two towns, all of the demand comes from one customer. Mr. Oak cannot identify which customer is which. To get around this, he creates two kinds of packages, one containing 46 updates and one containing 11. He allows his customers to simply buy one and only one of the kind of package that they prefer. What is the maximum price Mr. Oak could charge for the large package if he wants the Kanto customer to buy the package of 46 and the Hoenn customer to buy the package of 11?
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