Consider an individual with preferences represented by u (21,02) = (1 + 12, where 11 and 12 represent consumption of good 1 and good 2, respectively. Assume that: consumption (of either good) cannot be negative, the ratio of the two goods' prices is = 2, and the individual is initially endowed with o units of good 1 and 0.5 units of good 2. What is the individual's optimal allocation? Solve analytically, showing steps in detail, and also demonstrate graphically