Final answer:
The destruction of orange groves would decrease supply, and a study promoting oranges' health benefits would increase demand. Consequently, the equilibrium price for oranges would rise, while the equilibrium quantity sold would likely drop due to limited availability.
Step-by-step explanation:
Bad weather, particularly the destruction of the orange groves, will lead to a decrease in the supply of oranges because fewer oranges can be grown and harvested. On the other hand, a study claiming that oranges can cure all illnesses would lead to an increase in the demand for oranges, as consumers would be more inclined to purchase them for their health benefits. As a result of these two factors, the equilibrium price of oranges would increase because of the higher demand and lower supply. However, the equilibrium quantity sold would likely decrease, constrained by the lower availability of oranges due to the bad weather affecting the groves. Without the supply to meet the new demand, the quantity sold cannot increase to the level it might if the supply had remained constant.
To illustrate this with a demand and supply graph, the supply curve would shift to the left, showing decreased supply, while the demand curve would shift to the right, indicating increased demand. The point where the new demand and supply curves intersect would show a higher equilibrium price but a potentially lower quantity than the original equilibrium before these events occurred.