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4. Tom has preferences that can be described by the utility unction U a > O, > O, x 20, y 20, (x + y) Tom Junior's preferences can be described by a transformation of Tom' s utility unction G(U), where G(U) (U 36)3 Tom III' s (i.e. Tom' s grandson's) preferences can be described by a transformation of Tom' utility function H where H(U) (U 18) 4 4m Is G (U) a positive monotonic transformation? Show your work What does that imply for Tom and Tom Jr' s preferences? Explain why. 4b. Is H (U) a positive monotonic transformation? Show your work. What does that imply for Tom and Tom III's preferences? Explain why