5. Two primary inputs to a college degree are coffee (x) and notepads (y). The price of a cup of coffee is $5, the price of a notepad is $10, and your budget is $30. Assume the utility over bundles of these two products is u(x, y) = 6x + 3y. (a) What does this utility function imply about your preferences over coffee and notepads? (b) Draw a graph that illustrates the optimal number of coffees and notepads to buy. (You do not need to solve for the optimal number of products.) Assume the utility over bundles of these two products is u(x, y) = min{6x, y}. (c) What does this utility function imply about your preferences over coffee and notepads? (d) Draw a graph that illustrates the optimal number of coffees and notepads to buy. (You do not need to solve for the optimal number of products.) Assume that utility over bundles of these two products is U(x, y) = x₁y₁ (e) What does this utility function imply about your preferences over coffee and notepads? (f) Draw a graph that illustrates the optimal number of coffees and notepads to buy. (You do not need to solve for the optimal number of products.)