Question: This will be a depressing question. The world has two goods:masks (M) and sanitizer (S). Danny is born with an endowment (M=10, S=10) and has

This will be a depressing question. The world has two goods:masks (M) and sanitizer (S).

Danny is born with an endowment (M=10, S=10) and has a fixed marginal utility of 1 for masks ( ) and 0.5 for sanitizer () . His total utility is given by

Steve is born with (M=10, S=10) and has a marginal utility of for masks andfor sanitizer. His utility is given by .

The total endowment must satisfy , Md+Ms=20, Ss+Sd=20

(a)Is the endowment point on the utility possibilities frontier?

(b)Consider the allocation X= (Ms=3.5, Ss=7). Is this on the utility possibilities frontier? Will voluntary trade between Steve and Danny ever arrive at this point?

(c) Consider the allocation Y= (Ms=7.25, Ss=14.5). Is this on the utility possibilities frontier? Will voluntary trade between Steve and Danny ever arrive at this point?

(d)Would a utilitarian social welfare function prefer X or Y? Would a Rawlsian social welfare function prefer X or Y?

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