Let y(t) represent the amount of honey in a beehive at any time t. Bees create honey at a rate that is proportional to the amount honey currently in the hive. Additionally, a beekeeper harvests the honey from the hive at a constant rate of h grams of honey per day. Which differential equation below best models this situation?

a.

dy/dt=kyht

b.

dy/dt=k(yh)

c.

dy/dt=ky

d.

dy/dt=k(y+h)

e.

dy/dt=kyh