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Problem Questions with Answer, Solution - Exercise 3.3: Application of Integration in Economics and Commerce | 12th Business Maths and Statistics : Chapter 3 : Integral Calculus - II

Chapter: 12th Business Maths and Statistics : Chapter 3 : Integral Calculus - II

Exercise 3.3: Application of Integration in Economics and Commerce

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Exercise 3.3

 

1. Calculate consumer’s surplus if the demand function p = 50  2x and x = 20


 

2. Calculate consumer’s surplus if the demand function p = 122  5x  2x2 and x = 6


 

3. The demand function p = 85  5x and supply function p = 3x  35 . Calculate the equilibrium price and quantity demanded .Also calculate consumer’s surplus.


 

4. The demand function for a commodity is p = ex . Find the consumer’s surplus when = 0.5.


 

5. Calculate the producer’s surplus at x = 5 for the supply function p = 7 + x.


 

6. If the supply function for a product is p = 3x + 5x2 .Find the producer’s surplus when = 4.


 

7. The demand function for a commodity is p = 36/ x+4  . Find the consumer’s surplus when the prevailing market price is ₹6.


 

8. The demand and supply functions under perfect competition are pd = 1600  x2 and ps = 2x2 + 400 respectively. Find the producer’s surplus.


 

9. Under perfect competition for a commodity the demand and supply laws are pd = (8 / [x + 1]) − 2 and ps = [x + 3] / 2 respectively. Find the consumer’s and producer’s surplus.



 

10. The demand equation for a products is x = [100 – p] and the supply equation is x = p/2 −10. Determine the consumer’s surplus and producer’s surplus, under market equilibrium.



 

11. Find the consumer’s surplus and producer’s surplus for the demand function pd = 25  3and supply function ps = 5 + 2x.



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12th Business Maths and Statistics : Chapter 3 : Integral Calculus - II : Exercise 3.3: Application of Integration in Economics and Commerce | Problem Questions with Answer, Solution

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12th Business Maths and Statistics : Chapter 3 : Integral Calculus - II


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