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Question:

When the price of a commodity changes from Rs.4 per unit to Rs.5 per unit, its market supply rises from 100 units to 120 units. Calculate the price elasticity of supply. Is supply elastic?

Solution:

Price elasticity of supply = [(Change in quantity supplied) / (Initial quantity supplied)] / [(Change in price) / (Initial price)]

Change in quantity supplied = 120 units - 100 units = 20 units
Initial quantity supplied = 100 units
Change in price = Rs.5 - Rs.4 = Rs.1
Initial price = Rs.4

Price elasticity of supply = (20/100) / (1/4) = 0.2 / 0.25 = 0.8

Since the price elasticity of supply (0.8) is less than 1, the supply is inelastic. This means that a percentage change in price leads to a smaller percentage change in quantity supplied.