Harry enjoys dark roast coffee because he thinks drinking it makes him look quite sophisticated. In order to stomach it, however, he puts three containers of creamer into every cup of coffee so it is not too bitter. Harry only enjoys coffee in this combination. With less creamer the coffee is too bitter and he won't drink it; with more creamer the coffee is too sweet and also undrinkable. With coffee and creamer in the right proportions, however, Harry is always happy to have more coffee and creamer. His utility function can be written as follows: u(x, y)= Sin(3x, y), where x is the cups of coffee and y is containers of creamer. Required:
Suppose that Harry drinks one cup of coffee with his preferred three packs of creamer every day for seven days. What is his utility for that week?