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Worked Examples · Example 3
Q.

A consumer's willingness to pay (marginal valuation, in Rs.) for successive units of a good is given below. If the market price of the good is Rs. 4 per unit, find how many units he buys and the Consumer's Surplus he enjoys.

UnitWillingness to pay (Rs.)
110
28
36
44
52
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The consumer buys a unit only so long as his willingness to pay for it is at least equal to the market price of Rs. 4. Checking each unit: unit 1 (Rs. 10 ≥ 4, buy), unit 2 (Rs. 8 ≥ 4, buy), unit 3 (Rs. 6 ≥ 4, buy), unit 4 (Rs. 4 ≥ 4, buy — exactly at the margin), unit 5 (Rs. 2 < 4, do NOT buy, since it would cost him more than it is worth to him). So he buys 4 units.

Total willingness to pay for these 4 units: 10+8+6+4=2810+8+6+4=28. Actual amount paid, at Rs. 4 per unit for 4 units: 4×4=164\times4=16.

Consumer’s Surplus=28−16=12\text{Consumer's Surplus} = 28-16=12 …

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