Class 12 CBSE Applied Maths Integrals Exercise 7.14

Class 12 CBSE Applied Maths aims to develop an understanding of basic mathematical and statistical tools and their applications in the field of commerce (business/ finance/economics) and social sciences. Topics covered in Class 12th Applied Maths includes : Numbers, Quantification and Numerical Applications, Algebra, Calculus, Probability Distributions , Inferential Statistics, Index Numbers and Time-based data , Financial Mathematics , Linear Programming.

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Q1. The demand function for a commodity is given by p = 100 - 8x. Find the consumer’s surplus at equilibrium price p_o = 4.

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Q2. The demand function for a commodity is given by p = 4 - x², Find the consumer’s surplus when the market demand is 1.

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Q3. The demand function of a product is p = 10 e^-x. Find the consumer’s surplus when the market price p = 1. (Given log₁₀e = 0.4343)

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Q4. The supply function for a commodity is . Find the producer’s surplus when the market price is Rs 25.

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Q5. The supply function of a product is p = 0.4 e^2x, where x denotes 1000 units. Find producer's surplus when sales are 2000 units. (Given e⁴ = 54.6)

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Q6. The demand and supply functions are p = 50 - 8x and p = 5 + x respectively. Determine the consumer’s surplus and producer’s surplus at equilibrium price.

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Q7. The demand and supply functions are p_d = 25 - x² and p_s = 2x + 1 respectively. Find the consumer’s surplus and producer’s surplus at equilibrium price.

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Q8. The demand and supply functions under pure competition are p = 16 - x² and p = 2x7 +4 respectively. Find the consumer’s surplus and producer’s surplus.

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Q9. For a particular commodity the demand function and the supply function is . Determine to the nearest rupee the consumer’s surplus and producer’s surplus if market attains equilibrium.

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Q10. Find the consumer’s surplus and producer’s surplus under pure competition for demand function and supply function

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Class 12 CBSE Applied Maths Integrals Exercise 7.14

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Q1. The demand function for a commodity is given by p = 100 - 8x. Find the consumer’s surplus at equilibrium price po = 4.

Q2. The demand function for a commodity is given by p = 4 - x2, Find the consumer’s surplus when the market demand is 1.

Q3. The demand function of a product is p = 10 e-x. Find the consumer’s surplus when the market price p = 1. (Given log10e = 0.4343)

Q4. The supply function for a commodity is . Find the producer’s surplus when the market price is Rs 25.

Q5. The supply function of a product is p = 0.4 e2x, where x denotes 1000 units. Find producer's surplus when sales are 2000 units. (Given e4 = 54.6)

Q6. The demand and supply functions are p = 50 - 8x and p = 5 + x respectively. Determine the consumer’s surplus and producer’s surplus at equilibrium price.

Q7. The demand and supply functions are pd = 25 - x2 and ps = 2x + 1 respectively. Find the consumer’s surplus and producer’s surplus at equilibrium price.

Q8. The demand and supply functions under pure competition are p = 16 - x2 and p = 2x7 +4 respectively. Find the consumer’s surplus and producer’s surplus.

Q9. For a particular commodity the demand function and the supply function is . Determine to the nearest rupee the consumer’s surplus and producer’s surplus if market attains equilibrium.

Q10. Find the consumer’s surplus and producer’s surplus under pure competition for demand function and supply function

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Q1. The demand function for a commodity is given by p = 100 - 8x. Find the consumer’s surplus at equilibrium price p_o = 4.

Q2. The demand function for a commodity is given by p = 4 - x², Find the consumer’s surplus when the market demand is 1.

Q3. The demand function of a product is p = 10 e^-x. Find the consumer’s surplus when the market price p = 1. (Given log₁₀e = 0.4343)

Q5. The supply function of a product is p = 0.4 e^2x, where x denotes 1000 units. Find producer's surplus when sales are 2000 units. (Given e⁴ = 54.6)

Q7. The demand and supply functions are p_d = 25 - x² and p_s = 2x + 1 respectively. Find the consumer’s surplus and producer’s surplus at equilibrium price.

Q8. The demand and supply functions under pure competition are p = 16 - x² and p = 2x7 +4 respectively. Find the consumer’s surplus and producer’s surplus.