Official Solution:
In an isolated economy, only two factors can change the market price of a commodity: its supply and the consumer demand for it. When supply increases, the commodity’s price falls, and when supply decreases, the price rises. Conversely, when consumer demand increases, the price rises, and when demand decreases, the price falls. In such an economy, total consumer demand is directly proportional to population size.
If the statements above are true, which of the following must also be true?
A. If the population increases while the supply of a commodity remains unchanged, the market price of that commodity must fall.
B. If the population remains unchanged and the supply of a commodity increases, the market price of that commodity must decrease.
C. If the supply of a commodity decreases at the same time that the population increases, the market price of that commodity will remain unchanged.
D. If the population decreases and the supply of a commodity increases simultaneously, the market price of that commodity must increase.
E. Whatever changes occur in consumer demand, compensating changes in supply will necessarily keep the market price of every commodity constant.
A) Incorrect. Population increases --> demand increases --> price rises, not falls.
B) Correct Answer. The population stays the same, so consumer demand does not change because demand is directly proportional to population size.The supply of the commodity increases, and the supply rule states that when supply increases the price falls. With no other factors acting, the price must therefore decrease. Hence statement B must be true.
C) Incorrect. Supply decreases (price rises) while population increases (demand rises --> price rises); both forces push price up, not keep it unchanged.
D) Incorrect. Population decreases (demand falls --> price falls) while supply increases (price falls); both forces push price down, not up.
E) Incorrect. The premises never guarantee that every demand change will be exactly offset by a supply change, so price could still move. This is incomplete.
Answer: B