Dear Samacheer Kalvi Students, here are the Integral Calculus II – Exercise 3.3 text book solutions in Business Maths Chapter 3 Integral Calculus II. If you have any doubts, please reach out to us in the comments section.
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Important Formulas in Integral Calculus II
Text Book Solutions for Integral Calculus I Exercise 3.1
Text Book Solutions for Integral Calculus I Exercise 3.2
Text Book Solutions for Integral Calculus I Exercise 3.4
Exercise 3.3
1. Calculate consumer’s surplus if the demand function p = 50 − 2x and x = 20.
Answer:
2. Calculate consumer’s surplus if the demand function p = 122 − 5x − 2x2 and x = 6.
Answer:
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.
Answer: At equilibrium price, quantity demanded = quantity supplied
Qd =Qs
4. The demand function for a commodity is p = e-x .Find the consumer’s surplus when p = 0.5.
Answer:
5. Calculate the producer’s surplus at x = 5 for the supply function p = 7 + x.
Answer:
6. If the supply function for a product is p = 3x + 5x2 .Find the producer’s surplus when x = 4.
Answer:
7. The demand function for a commodity is p = 36/x+4. Find the consumer’s surplus when the prevailing market price is Rs.6.
Answer:
8. The demand and supply functions under perfect competition are pd= 1600 – x2 and ps = 2x2+ 400 respectively. Find the producer’s surplus.
Answer: At equilibrium price, pd=ps
9. Under perfect competition for a commodity the demand and supply laws are pd= 8\x+1and ps = x+3/2 respectively. Find the consumer’s and producer’s surplus.
Answer: At equilibrium price, pd=ps
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.
Answer:
At market equilibrium, pd =ps
11. Find the consumer’s surplus and producer’s surplus for the demand function pd = 25 − 3x and supply function ps = 5 + 2x.
Answer: At market equilibrium, pd =ps
If you have any doubts in this exercise, please let us know in the comments section.
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