As shown, there are three possible routes to hike to the dig site and all paths are on the same elevation. All distances are given in miles. The direct route, AD, is 40 miles long but last week two geologists were attacked by grizzly bears on that route. Most of the path from B to D is through thick brush. The remaining paths have no known hazards at this time.

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?