Final answer:
The correct answer is A. 65 psig, calculated by adding the differential of 15 psi to the cut in pressure of 50 psig.
Step-by-step explanation:
The correct answer is option A. 65 psig. A pressure switch that is set to close on rise will turn on or close its contacts when the pressure increases to a certain level, which is known as the cut in pressure. For this particular pressure switch, the cut in pressure is 50 psig. The differential is the difference in pressure between when the switch will turn back off (cut out) and when it turns on (cut in). With a differential of 15 psi, you add this value to the cut in pressure to determine the cut out pressure, which in this case would be 50 psig + 15 psi = 65 psig.
A close on rise pressure switch with a cut-in of 50 psig means that the switch will close when the pressure rises to 50 psig. The differential is the difference between the cut-in and the cut-out pressure, which in this case is 15 psi. So, the cut-out pressure would be the cut-in pressure plus the differential, which is 50 psig + 15 psi = 65 psig.
Therefore, the cut-out pressure is 65 psig.