Design an inexpensive reversed Brayton cycle air conditioning system for an automobile using air as the working fluid. Convert one of the engine's cylinders into an air compressor or add a separate compressor driven off the fan belt.

Determine the amount of cooling required (in tons) when the outside air temperature is 100.°F and the inside temperature is maintained at 70.0°F. Size and locate the components on the automobile.

Estimate the unit's coefficient of performance, its input power requirement, and manufacturing cost. The final unit must add no more than $200.00 to the cost of the automobile to the consumer.