Min has a utility function defined over consumption (C) and fun (F) of the following form U = C + CF + F. Min has T hours in the day to either spend working at wage, w, or having fun. She spends all her earnings, and her non-labor income (N) on consumption which costs a dollar a unit.

Show mathematically what happens to the amount of fun Min chooses as her wage rises? Then explain the economics behind her change? (Hint what sort of behavioral effects are there and which is bigger?)