# A toll road commission is planning to locate garages for tow trucks along a 100-mile circular highway. Each garage has a fixed cost of $5000 per day. Towing jobs are equally likely along any point of the highway, and cost per mile towed is $50. If there were 5000 towing jobs per day, what number of garages would minimize the

A toll road commission is planning to locate garages for tow trucks along a 100-mile circular highway. Each garage has a fixed cost of $5000 per day. Towing jobs are equally likely along any point of the highway, and cost per mile towed is $50. If there were 5000 towing jobs per day, what number of garages would minimize the sum of the fixed costs and towing costs?

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