jnu questions

[priyal]

1.assume that the cost of a bootle of mineral water in india and the Us reflects the relative cost of living in two coubntries and incrases at the same rate as the cost of living in respective countries. the price of bootle of mineral water in 2000 is reported as being rs 30 in india and $2 in US. the excahnge rate of the ruppee in that year is reported to have averaged rs 45 to the dollar.the inflation in the cost of living between 1991 and 2000 was 33.3 percent in Us and 50 percent in india.the exchange rate of the ruppee in 1991 was rs 20 to the dollar.
would it be right to say that since the total inflation in Us during the decade was much lower than in india, a person regularly travelling from india to US would find that country relatively less expensive to visit in 2000 as compared with 1991.expalin your answer.

2.suppose there are 4 alternatives x,y,z and w. further suppose that there are 7 individuals 1,2,3,4,5,6 and 7. the individuals rankings(oderings) of the four alternatives Ri, i=1,.....7 are given by
R1:(xy)zw
R2:yzwx
R3:zw(xy)
R4:(xy)(zw)
R5:yzwx
R6:zw(xy)
R7:(xy)(zw)
determine which of the alternatives are pareto optimal.expalin your answer.
(alternatives inside the parentheses are indifferent to each other. if an alternative is written to the left of another alternative ,then the former is preffered to the latter.

3.show that log(x)<x for all x>o.log(x) is natural logarithm

4.take any five distinct real numbers and show that maximum of the absolute values of these numbers may be equal to absolute value of minimum of these numbers.

[Khushboo]

Ans 4-  Consider the 5 numbers  0,1,2,3,-4
           Max[|0|,|1|,|2|,|3|,|-4|]= 4  and  |Min[0,1,2,3,-4]|=|-4|= 4
       Hence, the maximum of the absolute values of these numbers equal to absolute value of minimum of these numbers.

[Kirti]

Ans2) xyz..bec z is always preferred to w..same explanation that khushboo gave about pareto optimality in one of the answers

[PRANAVjain]

ANS2.)..y and z are pareto optimal whereas x and w arent OPTIMAL...consider R2 AND R5 where you'll find that the preferences are taken over and above.so hence the result