A $65000 oil detector is lowered under the sea to detect oil fields,
and it becomes detached from the ship. If the instrument is not found within
36 hours, it will crack under the pressure of the sea. It is assumed that a
SCUBA diver will find it with probability 0.74, but it costs $ 500 to
hire each diver.

a)How many SCUBA divers should be hired in order to maximize the expected gain?
answer: (round to nearest integer)

b)Using your answer to part a), what is the expected gain?
answer: $