Please help me with this question

1. 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 ( MU = 1) and 0.5 for sanitizer (MU? = 0.5) . His total utility is given by UP = Mp + 0.55p Steve is born with (M=10, S=10) and has a marginal utility of MUN = $s for masks and MUS = Ms for sanitizer. His utility is given by UT = Ss * Ms . The total endowment must satisfy Mp + Ms = 20, 5s + 5p = 20 a. [4 points] Is the endowment point on the utility possibilities frontier? b. [4 points] Consider the allocation X= (Ms = 3.5, S, = 7) . Is this on the utility possibilities frontier? Will voluntary trade between Steve and Danny ever arrive at this point? c. [4 points] Consider the allocation Y= (Ms = 7.25,5, = 14.5) . Is this on the utility possibilities frontier? Will voluntary trade between Steve and Danny ever arrive at this point? d. [3 points] Would a utilitarian social welfare function prefer X or Y? Would a Rawlsian social welfare function prefer X or Y