Elasticity (Maths. Econ)

瑞士小蝴蝶

2009-03-04 2:18 am

1) Find the Elasticity Ex(y), corresponding to y(x) = exp sqrt(x^2 + 9)

Answer is Ex(P) = (x^2) / (sqrt (x^2) + 9

PS: I have no idea where to start with this question!!!! and what is the "exp" in the question??

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2) Offer Function p(q) = 4e^[3+ sqrt(q)]

a) What is the elasticity of price with regard to the quantity.
Ans: (Eq(p) = 0.5 sqrt(q)

b) if the quantity of offer is 9 which was raised 2%, what will it affect the price?

Elasticity = 1.5, price raised 3 %

thx you for your help!!!!

回答 (1)

myisland8132

2009-03-04 6:05 am

✔ 最佳答案

1) Find the Elasticity , corresponding to q(p) = exp sqrt(p^2 + 9)
Here q'(p)=2p exp [sqrt(p^2 + 9)]/sqrt(p^2 + 9)
According the definition, elasticity
=(p/q)q'(p)
=p/[exp sqrt(p^2 + 9)]{2p exp [sqrt(p^2 + 9)]/sqrt(p^2 + 9)}
=(p^2) / (sqrt (p^2) + 9)
2 p = 4e^[3+ sqrt(q)]=>q=[ln(p/4)-3]^2
q'(p)=[ln(p/4)-3]/2p
According the definition, elasticity
=(p/q)q'(p)
=(p/q)([ln(p/4)-3]/2p]
=[ln(p/4)-3]/2q
=0.5/ sqrt(q)
Your question is wrong?

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