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2281 · 2.2

The role of markets in allocating resources — practice questions

Practice and worked examples for 2281 The role of markets in allocating resources. Short previews only — attempt the full question in MarkScheme against the official scheme.

Worked example 1

A new fashion for electric scooters raises demand for them sharply, while demand for bicycles falls.

Explain how the price mechanism reallocates resources between the two industries. Refer to the rationing, signalling and incentive functions of price.

Show solution outline

Step 1 — Scooters: demand shifts right. At the old price there is excess demand, so the price rises.

Step 2 — Signalling: the higher price tells producers that consumers now value scooters more highly.

Step 3 — Incentive: higher prices raise profits, so existing firms expand and new firms enter. They bid for more labour, components and factory space, and resources flow into scooter production.

Step 4 — Rationing: while supply catches up, the higher price rations the limited stock to the consumers willing to pay most.

Step 5 — Bicycles: demand shifts left. Price and profit fall, producers cut output and some leave the industry. The workers and capital released move towards the scooter industry.

Conclusion: no planner was needed — consumers' spending "votes" changed prices, and prices moved resources from bicycles to scooters.

Worked example 2

The market for widgets has the following demand and supply equations, where P is the price in dollars:

Demand: Qd = 800 − 50P Supply: Qs = 200 + 50P

(a) Calculate the equilibrium price and quantity. (b) A rise in incomes changes demand to Qd = 1 000 − 50P. Calculate the new equilibrium. (c) Explain what the change in price tells producers.

Show solution outline

Step 1 — Equilibrium (a): set Qd = Qs: 800 − 50P = 200 + 50P → 600 = 100P → P = $6. Quantity = 800 − 50(6) = 500 widgets.

Step 2 — New equilibrium (b): 1 000 − 50P = 200 + 50P → 800 = 100P → P = $8. Quantity = 1 000 − 50(8) = 600 widgets.

Step 3 — Reading the signal (c): the rise from $6 to $8 signals that consumers now value widgets more. Higher prices raise profits, which gives producers an incentive to expand output from 500 to 600 — buying more materials and hiring more workers — so resources are reallocated towards widgets.

Check: at P = 8, Qs = 200 + 400 = 600 = Qd. The market clears.