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Volume 32, Number 1, September 2014 Answers and explanation When demand rises, do prices rise too? Luke Garrod and Chris Wilson Our article in this issue (pp. 12–15) explored why it is that an increase in demand may sometimes be associated with a fall in prices, seemingly contradicting what we expect from normal supply and demand analysis. As part of the article, some questions were posed for you to consider. This brief piece provides some commentary on these, followed by an explanation of the possibility of encountering a downward sloping supply curve in the long run. Monopoly exercise (Box 3) To see how the theoretical predictions outlined in the main article can often be extended to the textbook monopoly case, consider Figure 1 below. As in the supply and demand model, there is a market demand curve, labelled D. However, in this case, the market demand curve is also the monopolist’s demand curve, since the monopolist is the only seller in the market. Since the demand curve is downward sloping, the monopolist must lower its price to sell another unit of output. Figure 1 Philip Allan Updates © 2014 Increase in demand for a monopolist 1 The marginal cost curve, labelled MC on Figure 1, shows how the monopolist’s total costs change as it increases its output by one unit. As in the supply and demand model, this is often horizontal or upwards sloping. In Figure 1, we allow it to be upwards sloping, signifying that the monopolist finds it increasingly costly to produce an extra unit of output. To consider the monopolist’s optimal choice of output, we also need to introduce the marginal revenue curve. The marginal revenue curve, labelled MR in Figure 1, shows how the monopolist’s total revenue changes as it increases its output by one unit. There are two offsetting effects of selling another unit of output on the monopolist’s total revenue. First, the monopolist increases its revenue by the price at which the extra unit is sold. Second, by reducing its price, the monopolist decreases the revenue it receives for all of the other units it sells. Due to this second effect, the marginal revenue curve is downward sloping and it lies below the demand curve, as illustrated in Figure 1. To maximise its profits, the monopolist selects the output level where marginal revenue is equal to marginal cost. This is at q1 in Figure 1, with a corresponding price equal to p1. To see why this output level maximises profits, consider whether a monopolist should produce and sell an extra unit of output if marginal revenue is not equal to marginal cost. If marginal revenue is greater than marginal cost, the monopolist should produce and sell an extra unit because this unit increases total revenue by more than it adds to total costs and thereby increases its profits. Similarly, if marginal revenue is less than marginal cost, the monopolist should not produce and sell a unit of output because producing and selling this unit would cost more than it would add to total revenue and thereby decrease its profits. Now suppose an increase in demand shifts the demand curve to Dʹ in Figure 1. This also shifts the marginal revenue curve to MRʹ because each extra unit of output can now be sold at a higher price, and allows each extra unit of output to add more to total revenue than it did before. The output level that now maximises profits, where marginal revenue, MRʹ, equals marginal cost, MC, is q2. This has a corresponding monopoly price, p2, which is higher than the original price, p1. Finally, if Figure 1 were redrawn with a horizontal marginal cost curve, it can be verified that the monopolist would also raise its price above p1 following an increase in demand. See the next page for an explanation of the possible occurrence of a downward sloping supply curve in the long run. Philip Allan Updates © 2014 2 A downward sloping supply curve? The article also raised the possibility that we could encounter a downward sloping supply curve in the long run (p. 15). Figure 2 may help to explain how this could come about. Suppose that a market starts in equilibrium with demand given by D0 and supply at S0. An increase in demand from D0 to D1 induces a movement along the demand curve, with price increasing from P0 to P1 and the quantity traded increasing from Q0 to Q1. As firms expand their production and begin to tap economies of scale, their costs fall, resulting in an increase in the quantity they are prepared to supply at any given price. In other words, the supply curve shifts from S0 to S1. The long-run equilibrium is then with price PL and quantity traded at QL. This creates the impression that the long-run supply curve is downward sloping, as shown by SL. This resource is part of ECONOMIC REVIEW, a magazine written for A-level students by subject experts. To subscribe to the full magazine go to www.hoddereducation.co.uk/economicreview Philip Allan Updates © 2014 3