Microeconomics ques

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RS
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Microeconomics ques

RS
Q1. Consider  the  following  two  lotteries:  
L1  =  (200,  0;  p=0.7,  0.3)  and
L2  =  (1200,  0  ;  p  =  0.1,  0.9).
Let  x1 and  x2 be  the  sure  amounts  of  money  that  an  individual  finds  indifferent  to  L1  and  L2.  If  his  preferences  are transitive  and  monotonic  the  individual  must  prefer  L1  to  L2
(a)  if  x1 ≥  x2
(b)  if  and  only  if  x1 >  x2
(c)  if  and  only  if  x1 ≥  x2
d) if x1<x

Please tell me how to solve?

Q.2. Abhik’s  utility  function  is  given  by  U(x1,  x2)  =  max{  x1,  x2}.  His  preference  structure  violates  axiom Z while  his  demand  function  for  either  x1  or  x2  resembles  the  case  where  x1  and  x2  are  W  goods.
(a)    Z  = monotonicity,  W  =  perfect  complements
(b)  Z  =  convexity,  W  =  perfect  substitutes
(c)    Z  =  convexity,  W  =  perfect  complements    
(d) Z = monotonicity, W = perfect substitutes

This is B. Right ?

3. p1=a-b1q1 and p2=a-b2q2 (such that b1>b2) are the market  demand  curves  of  a monopolist  in  two  markets  between  which  communication  is  not  possible,  then  in  equilibrium:
(a) p1= p2
(b) p1>p2
(c) p1<p2
(d) no  systematic  relation  between p1  and p2 exists.
 
Answer is b. Right ?

4. Amit’s  preference  is  given  by  the  utility  function  U= min{(x+2y),4y}. Amit  has  chosen  5  units  each  of X and Y when price  of  X  is  2  units.  Amit’s  total  spending  on  X  and  Y  is
(a)  30
(b)    4
(c)    25
(d)    Insufficient  data

Answer is d. Right ?
L
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Re: Microeconomics ques

L
1) isn't it just involve expected value
2 and 3 are correct
4) He is on x+2y branch of curve. so, price ratio 1:2 and spending =30.
for 4th, you can go through link for more explanation
http://eureka-wow.blogspot.in/search?updated-min=2015-01-01T00:00:00-08:00&updated-max=2016-01-01T00:00:00-08:00&max-results=5 
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Re: Microeconomics ques

novice
In reply to this post by RS
1. sure amount => indifferent between having x1 or L1
I think he prefers L1 to L2 if and only if he had a larger budget set => x1>x2.

3. I think no systematic relation because as they are two different markets and nothing said about the cost functions.