Question 3 (15 marks total] Suppose a consumer has the following utility function: U = H2 if Pz=1 and Py=2 and income = 300 1} Find the optimum quantities of X and '1' that the consumer will purchase. (3 marks) (In your solution you should begin by stating the two conditions that must be met.) 2} In precisely what sense is this combination of X and '1' an equilibrium? (2 marks) 3} What is the maximum satisfaction that this utilitymaximizing consumer can achieve? (3 marks) Y 4} Illustrate the solution on the diagram. (2 marks}