Could I please get the calculation path for the exercise below? Thank you!!

Ernie's utility function is

U(x,y) = 32xy

He has 10 units of good x and 8 units of good y. Waldo's utility

function for the same two goods is U(x,y) = 3x+ 5y. Waldo has 9 units of x and 13 units of y.

a.

Waldo prefers Ernie's bundle to his own, but Ernie prefers his own bundle to Waldo's.

b.

Each prefers the other's bundle to his own.

c.

Neither prefers the other's bundle to his own.

d.

Ernie prefers Waldo's bundle to his own bundle, but Waldo prefers his own bundle to

Ernie's.

e.

Since they have different preferences, there is not enough information to determine who

envies whom.