Consumer surplus practice problems

Microeconomics Unit 2. Try each one, then open the worked solution. The Credit Sprint app generates unlimited new versions with fresh numbers.

Problem 1.

Demand is P = 58 − 1Q and the market price is $4. What is consumer surplus?

Show solution

Quantity at $4: 58 − 1Q = 4 → Q = 54. CS = ½ × 54 × (58 − 4) = $1,458.

Problem 2.

Demand is P = 48 − 1Q and the market price is $32. What is consumer surplus?

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Quantity at $32: 48 − 1Q = 32 → Q = 16. CS = ½ × 16 × (48 − 32) = $128.

Problem 3.

Demand is P = 36 − 1Q and the market price is $10. What is consumer surplus?

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Quantity at $10: 36 − 1Q = 10 → Q = 26. CS = ½ × 26 × (36 − 10) = $338.

Problem 4.

Demand is P = 32 − 1Q and the market price is $18. What is consumer surplus?

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Quantity at $18: 32 − 1Q = 18 → Q = 14. CS = ½ × 14 × (32 − 18) = $98.

Problem 5.

Demand is P = 30 − 0.5Q and the market price is $14. What is consumer surplus?

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Quantity at $14: 30 − 0.5Q = 14 → Q = 32. CS = ½ × 32 × (30 − 14) = $256.

Problem 6.

Demand is P = 54 − 2Q and the market price is $30. What is consumer surplus?

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Quantity at $30: 54 − 2Q = 30 → Q = 12. CS = ½ × 12 × (54 − 30) = $144.