DSE 2013[NON ENVY ALLOCATION]

[ABC]

Q. U<X1,X2>= aX1+X2 for consumer (A) and U(y1,y2)=y1.y2 for consumer (B)
Thier initial endowment--- A(4x1,0x2) & B(1y1,5y2)
Total endowment--- x1+y1=5 & x2+y2=5
1. WT WILL BE THE NON ENVY ALLOCATION..........??????
2.WT WILL BE THE PARETO ALLOCATION ..............??????

[mats]

The first answer was (c). And the second answer was always pareto optimal.
.

[abcde]

what was the option c ??

[madhur1987]

option c was pareto optimal if alpha is greater than equal to 5 which i think is correct bcoz for eg ig alpha is 1 than above allocation is not pareto optimal