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A shoe salesman working on commission must decide whether to work hard or shirk. Working hard would increase the probability of a sale from 20%

A shoe salesman working on commission must decide whether to work hard or shirk. Working hard would increase the probability of a sale from 20% to 70% but would cost him $5. If the average price of shoes is $100, what is the minimum commission rate would induce him to work hard?

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