JAMB 2022 Economics · Question 43

A consumer of a single commodity is in equilibrium when

Options

  1. A.he can equate his demand with price
  2. B.he equates marginal utility and price
  3. C.he can equate his marginal and total utilities
  4. D.his marginal utility is equal to zero

Answer: B. he equates marginal utility and price

Explanation written with AI and checked against the answer key

Analyze the question

The question asks about the condition for consumer equilibrium when a consumer buys only one commodity.

Explain the concept

A consumer's goal is to maximize satisfaction (utility) from spending income. For a single commodity, the consumer keeps buying units as long as the satisfaction from the extra unit is worth the price paid.

  • Marginal utility (MU) is the extra satisfaction from consuming one more unit.
  • Price (P) represents the marginal utility of money, that is, what the consumer gives up to get the unit.

The consumer is in equilibrium when:

MU of the commodity = Price (MU = P)

(In a more precise form, MU/P = marginal utility of money, but for a single commodity this reduces to MU = P in terms of money.)

Step-by-step solution

  1. If MU > P, the consumer gains by buying more, so there is no equilibrium yet.
  2. If MU < P, the consumer is paying more than the extra satisfaction is worth, so they should buy less.
  3. Only when MU = P is there no incentive to change the quantity bought. This is equilibrium.

Checking the options

  • A. "Equate his demand with price": demand is a schedule, not something equated with price. Wrong.
  • B. "Equates marginal utility and price": this is the correct equilibrium condition. ✔
  • C. "Equate marginal and total utilities": MU equals TU only for the very first unit. This is not the equilibrium condition. Wrong.
  • D. "MU equals zero": this is the point of satiation (maximum total utility), which would only be equilibrium if the good were free. Wrong.

Answer: B

Exam tip: Remember "MU = P" for one commodity, and "MUx/Px = MUy/Py" for two or more commodities. If you see "MU = 0", think of satiation or a free good, not equilibrium at a positive price.

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