WAEC 2019 Economics · Question 31

In perfect competition, the average revenue curve of a firm is

Options

  1. A.below the marginal revenue curve
  2. B.downward sloping
  3. C.the marginal revenue curve
  4. D.convex to the origin

Answer: C. the marginal revenue curve

Explanation written with AI and checked against the answer key

Analyze the question: It asks about the shape and position of a perfectly competitive firm's average revenue (AR) curve.

Concept: In perfect competition, there are many buyers and sellers selling a homogeneous product. Each firm is a price taker, meaning the market sets the price and the firm cannot change it by selling more or less.

Step-by-step solution:

  1. Since price (P) is fixed for the firm, every extra unit is sold at the same price.
  2. Average revenue = Total revenue ÷ Quantity = (P × Q) ÷ Q = P
  3. Marginal revenue = the change in total revenue from selling one more unit = P (the same fixed price)
  4. So AR = MR = P at every level of output.
  5. Graphically, both are the same horizontal straight line at the market price. The firm's demand curve is perfectly elastic.

Checking the options:

  • A. Below MR: wrong, because they are equal.
  • B. Downward sloping: wrong. This describes AR under monopoly or imperfect competition, not perfect competition.
  • C. The marginal revenue curve: correct, because AR and MR coincide.
  • D. Convex to the origin: wrong, because the curve is a horizontal line.

**Answer: C. The marginal revenue curve.

Exam tip: Remember "P = AR = MR = D" for a perfectly competitive firm. They are all one horizontal line. In monopoly, AR slopes downward and MR lies below it, so if you see "MR below AR," think monopoly.

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