Market Equilibrium and Price Changes: Question 3

Syllabus 2.4, 2.5

Structured 7 marks

A stationery shop records the following demand and supply schedule for a particular type of notebook, showing the quantity buyers want to purchase and the quantity sellers want to offer each week at different prices.

Price ($) Quantity demanded (packs per week) Quantity supplied (packs per week)
2.00 500 100
2.50 400 200
3.00 300 300
3.50 200 400
4.00 100 500

(a) Define market equilibrium, and state the equilibrium price and equilibrium quantity of notebooks shown in the table. [2]

(b) The shop currently sells notebooks at $2.50 per pack. Using the table, identify whether this creates a shortage or a surplus of notebooks, and state its size. [2]

(c) Explain how the price of notebooks at this shop would be expected to change over time, starting from $2.50, until the market reaches equilibrium. [3]

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Worked solution

Part (a): Defining and finding equilibrium

Market equilibrium is the price at which the quantity that buyers want to purchase exactly equals the quantity that sellers want to offer. That is, quantity demanded (Qd) == quantity supplied (Qs).

Checking each row of the table:

PriceQdQs
$2.00500100
$2.50400200
$3.00300300
$3.50200400
$4.00100500

Only at $3.00 does quantity demanded equal quantity supplied, both at 300 packs per week. This is the equilibrium price and equilibrium quantity.

Part (b): Identifying the shortage at $2.50

At $2.50, from the table:

  • Quantity demanded =400= 400 packs per week
  • Quantity supplied =200= 200 packs per week

Since quantity demanded is greater than quantity supplied, there is a shortage (excess demand): 400200=200 packs per week400 - 200 = 200 \text{ packs per week}

Part (c): How price adjusts back to equilibrium

At $2.50, the shortage of 200 packs per week means many buyers who want a notebook cannot get one at that price. To secure a pack, some of these buyers are willing to pay more, so competition among buyers bids the price upward.

As price rises above $2.50:

  • Quantity demanded falls, a contraction in demand, as fewer buyers are willing to pay the higher price.
  • Quantity supplied rises, an extension in supply, as the shop is willing to offer more notebooks at the higher price.

This process continues until price reaches $3.00, where quantity demanded and quantity supplied are both 300 packs per week and the shortage has been eliminated. At that point there is no further pressure for price to change, so the market has reached equilibrium.

Final answers

  • (a) Market equilibrium is where quantity demanded == quantity supplied; here, equilibrium price == $3.00, equilibrium quantity == 300 packs per week.
  • (b) At $2.50 there is a shortage of 200 packs per week (400 demanded vs. 200 supplied).
  • (c) The shortage bids price upward from $2.50; demand contracts and supply extends along the existing curves until price reaches $3.00, where the shortage disappears.