Harriet Enjoys Watching Both American Idol and Desperate Housewives on Television.Her

Essay

Harriet enjoys watching both American Idol and Desperate Housewives on television.Her preferences correspond to the utility function U(A,D)= 2A + 4√D,where A stands for the number of hours she watches American Idol and D is the number of hours she watches Desperate Housewives.
a.How would Harriet rank the following alternatives: 4 hours of American Idol and 2 hours of Desperate Housewives,2 hours of American Idol and 4 hours of Desperate Housewives and 3 hours of American Idol and 3 hours of Desperate Housewives?
b.Suppose that one week,Desperate Housewives is not shown,but there is a two-hour American Idol special (instead of the usual one-hour program).Is Harriet better off or worse off? Explain.
c.Would Harriet's preferences change if her utility function was expressed as U(A,D)= 2A + 4√D+6? Why or why not?