You work for a toy company that wants to produce a bathtub toy boat that operates on a Carnot cycle and slowly putts around the bathtub. It is assumed that the temperature of the bathwater will be about \(100^{\circ} \mathrm{F}\) and the air temperature will be about \(70{ }^{\circ} \mathrm{F}\). After some experimenting, you determine that your prototype model operates at about \(40 \%\) of the efficiency of an ideal Carnot cycle between these two temperatures. Your engineer tells you that the boat needs to have an efficiency of 0.045 in order to move around well in the tub. You begin to consider simple design modifications in an attempt to reach this goal.