A bus travels between two cities A and B which are 100 miles

A bus travels between two cities A and B, which are 100 miles apart along a straight road. If the bus has a breakdown, then the distance from the breakdown to city A has a uniform distribution over (0,100). Suppose there are bus repair shops in A, in B, and halfway between. Now suppose instead that there are bus repair shop at the points 25 miles, 50 miles and 75 miles from city A towards city B. What are the best possible locations for the 3 repair shops? Discuss! Graphically illustrate your answer.

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