Market Equilibrium and Price Changes: Question 10

Syllabus 2.4, 2.5

Structured 8 marks

A national retailer sells reusable canvas tote bags online. Two developments happen at around the same time. First, growing environmental awareness means considerably more shoppers want to buy tote bags at every possible price than before. Second, several new overseas factories start manufacturing tote bags using cheaper materials, meaning sellers are willing and able to supply substantially more tote bags at every possible price than before. The price of a tote bag itself has not changed as a direct cause of either development.

The table below shows the quantity of tote bags demanded and supplied each month, both before ("original") and after ("new") these two developments.

Price ($) Original Qd New Qd Original Qs New Qs
10 110 130 50 90
15 100 120 60 100
20 90 110 70 110
25 80 100 80 120
30 70 90 90 130

(Quantities are in hundreds of tote bags per month.)

(a) State the original equilibrium price and equilibrium quantity of tote bags, before either development occurred. [2]

(b) Using the "New Qd" and "New Qs" columns, state the new equilibrium price and equilibrium quantity of tote bags after both developments. [2]

(c) Explain why the equilibrium quantity of tote bags has risen while the equilibrium price has fallen, even though demand for tote bags has increased. [4]

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Worked solution

Part (a): Finding the original equilibrium

Equilibrium occurs where original quantity demanded equals original quantity supplied. Checking the table:

PriceOriginal QdOriginal Qs
$1011050
$1510060
$209070
$258080
$307090

Only at $25 do the two quantities match, both at 80 hundred tote bags per month (that is, 8000 tote bags per month). This is the original equilibrium, before either development.

Part (b): Finding the new equilibrium

Equilibrium after both developments occurs where new quantity demanded equals new quantity supplied. Checking the table:

PriceNew QdNew Qs
$1013090
$15120100
$20110110
$25100120
$3090130

Only at $20 do the two quantities match, both at 110 hundred tote bags per month (that is, 11 000 tote bags per month). This is the new equilibrium.

Part (c): Why quantity rises but price falls

It helps to think about the two developments separately before combining them.

  • Demand increases (environmental awareness): on its own, a rightward shift of demand, with supply unchanged, would raise both equilibrium price and equilibrium quantity.
  • Supply increases (cheaper overseas manufacturing): on its own, a rightward shift of supply, with demand unchanged, would lower equilibrium price but raise equilibrium quantity.

Effect on quantity: both shifts push equilibrium quantity in the same direction, upward. So when demand and supply increase together, equilibrium quantity is bound to rise, which matches the table: quantity rises from 80 hundred to 110 hundred tote bags per month.

Effect on price: the two shifts pull price in opposite directions, demand pulls it up, supply pulls it down. The overall effect on price therefore depends on which shift is larger. Comparing the columns in the table:

  • New Qd - Original Qd =20= 20 (hundred) at every price, the demand shift.
  • New Qs - Original Qs =40= 40 (hundred) at every price, the supply shift.

The supply shift (40) is twice the size of the demand shift (20), so the downward pull on price from the larger increase in supply outweighs the upward pull from the smaller increase in demand. This is why, overall, equilibrium price falls, from $25 to $20, even though demand for tote bags has increased.

Final answers

  • (a) Original equilibrium: price == $25, quantity == 80 hundred (8000) tote bags per month.
  • (b) New equilibrium: price == $20, quantity == 110 hundred (11 000) tote bags per month.
  • (c) Both increases push quantity up, so quantity rises unambiguously; their effects on price are opposite, and since the supply increase (40 per price) is larger than the demand increase (20 per price), the downward pull dominates, so equilibrium price falls overall.