Wheel Fun Rentals provide recreational tandem cycles to visitors in the City Park. The company has $37$ cycles available. The average demand is $80$ customers $($requests$),$ arriving uniformly during $7$ hours each day the store is open. The coefficient of variation of arrivals is $1.$

Customers ride cycles on average for $3$ hours, with a standard deviation of $2\mathrm{.}5$ hours. Given that Wheel Fun does not have any competitors, customers are willing to wait for cycles. The company has a policy to credit $$5$ per hour per waiting request. This credit is prorated for fractional hours.

The average number of cycles Wheel Fun expect to be available for rent at any given time is $[$ Select $]["27\mathrm{.}0","10\mathrm{.}9","2\mathrm{.}7","1\mathrm{.}6","4\mathrm{.}8"].$

The average utilization for any cycle is $[$ Select $]["93\%","86\%","90\%","68\%","74\%"].$

The amount of the time, on average, a customer have to wait before getting a cycle is $[$ Select $]["50$ minutes", $"52$ minutes", $"42$ minutes", $"31$ minutes", $"25$ minutes"$].$

Average number of customers $($requests$)$ waiting at any time in the queue is $[$ Select $]["1\mathrm{.}73$ requests", $"2\mathrm{.}29$ requests", $"0\mathrm{.}979$ requests", $"5\mathrm{.}865$ requests", $"1\mathrm{.}219$ requests"$].$

Assuming $30$ days in a month, total monthly cost of customers waiting is $[$ Select $]["$$$852","$$$364","$$$379","$$$1091","$$$425"].$

A new cycles costs $$900$ to the company. If they decide to buy an extra cycle, it will break even it's purchase cost in $[$ Select $]["9","16","6","12","7"]$ months due to savings from the waiting time refunds.