DSE 2011

[Aranya]

http://economicsentrance.weebly.com/uploads/1/1/0/5/1105777/2011-option-a.pdf

Q23 and 24. Someone plz help!

[Dreyfus]

Q24. F(x) = F(x) - F(a)
Now F'(x) = d(F(x) -F(a))/dx =f(x)      ( F(a) is constant)
F''(x)= f'(x) and its given f'(x)>0 in [a, infinity)
F''(x) >0 hence convex

[Granpa Simpson]

For 24 consider a point (x(0),y(0)) on the parabola...now when x=x(0), y=(1/4)*(x(0))^2...now the distance on (0,b) from this point is given by D^2=(x(0)-0)^2+[(1/4)*(x(0))^2-b]^2.
Now apply the condition for minima for the function at (0,0) you will obtain the condition, 2-b>0, or b<2.

[mrittik]

Kulkal

[Aranya]

Thanx a lot !

[Akshay Jain]

[Aranya]

thanks @akshay

[Aranya]

this method is much easier!

[Aranya]

Same paper qsn 40.help needed!

[kangkan]

http://math.stackexchange.com/questions/677116/probability-uniform-distribution/677146#677146

[Aranya]

thank u @kangkan

[neha:)]

Please help me with Q. 40 and 44.
http://economicsentrance.weebly.com/uploads/1/1/0/5/1105777/2011-option-a.pdf

[Akshay Jain]

@Neha...
It is given that the firm always employs input combination (x,ax) irrespective of the input prices...
this happens when the production function is of the form of perfect complements.
just chek for the options
1. at optimum x^a=y...this is not matching
2. at optimum ax=y....this is matching
3. at optimum x/a=y....not matching
4. at optimum x^(1/a)=y......not matching

[neha:)]

Thanku :)

[divyajain]

can someone explain q52-54?

[Ridhika]

Akshay I dont quite follow your reasoning for this one.. What if an option had been b<1 .. then?