A person is responsible for putting away boxes into a long aisle. Basic information:

• They can carry one box at a time
• They walk at 2.5 miles per hour, whether carrying a box or not
• There is always product available for them to put away at the end of the aisle
• The location where product must be put away is randomly uniformly distributed across the length of the aisle
• There will always be an available location for putaway
• The width of aisle can be considered negligible
• The person takes 5 seconds to pick up a box at the end of the aisle, and then 10 seconds to put away a box when they arrive at a location

What is the average putaway productivity for this person (in boxes per hour), as a function of row length?