2. (10 points) Suppose consumers can purchase coffee or tea. The price of coffee 1s p, and the price of tea is p;. a) (3 points) Suppose coffee, denoted by , and tea, denoted by t, can each be purchased in quantities expressible as a fraction of positive integers. Write the sets of possible units of consumption of coffee and tea, denote them as and T respectively. Are these sets infinite? Are they denumerable? b) (3 points) Find the cartesian product, C X T. Is this the set of all possible consumable ordered pairs of coffee and tea? c) (4 points) Suppose individuals have income I, write the set of all possible ordered pairs that are affordable for the consumer. In other words, write the budget set