It seems to me that there must be some mistake in this question. The reason for this is that there is no such thing as “equilibrium supply.” Supply is a curve, as is demand. At the point where the supply and demand curves intersect, we have equilibrium. At that point, there is an equilibrium price and an equilibrium quantity that is both supplied and demanded. However, there is no equilibrium supply. So, I believe that...
It seems to me that there must be some mistake in this question. The reason for this is that there is no such thing as “equilibrium supply.” Supply is a curve, as is demand. At the point where the supply and demand curves intersect, we have equilibrium. At that point, there is an equilibrium price and an equilibrium quantity that is both supplied and demanded. However, there is no equilibrium supply. So, I believe that this question must actually be concerning what could cause both the equilibrium price and the equilibrium quantity to rise. In that case, the answer would be that only an increase in demand can cause such a combination of effects.
When supply rises, the equilibrium quantity rises, but the equilibrium price drops. When supply declines, the equilibrium price rises, but the equilibrium quantity drops. When demand declines, both equilibrium price and equilibrium quantity drop as well. However, when demand rises, equilibrium quantity goes up (because people are willing and able to buy more things) and equilibrium prices rise (because it costs more to make more things and because people who demand more are willing to pay more).
In order to have both price and quantity rise, we need to have an increase in demand.
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