1-3. A country produces goods X and Y and has the following equation for its production possibilities frontier: Y = 12(400 4X2)0-5, 0 S X S 10 Questions 1 through 3 concern this country. 1. You are told that the economy is producing efciently and has chosen to produce and consume 6 units of X and 192 units of Y. At this point on the production possibilities frontier, you can use calculus to obtain the opportunity cost of Y as: A) 1/128 B) 1/64 C)1/36 D) 1/18 E)1/12 F) 1/6 G) 1 H) 6 I) 18 J) none of the above 2. Now you are told that the economy is producing efficiently and has chosen to produce and consume 8 units of X. At this point on the production possibilities frontier, you can use calculus to obtain the opportunity cost of X as: A)1 B)2 C)4 D) 16 E) 10 F)18 G) 24 H) 32 I) 36 J) none of the above 3. Suppose that those in charge of this economy want to maximize the utility of the residents of the country, Where utility can be computed according to the equation U = XYZ. How many units of X (rounding to one decimal place) are included in the set of X and Y that will maximize the utility value of the output produced? A) 33.3 B) 3.6 C) 4.4 D) 4.8 E) 5.8 F) 6.4 G) 7.6 H) 8.2 I) 9.6 J) none ofthe above