Assigned country - U.S.A. (4 Points) Production and Consumption under Autarky Initially, the assigned country does not trade (under autarky). Indicate an optimal point of production and consumption (to achieve maximum utility) on the diagram of the PPF of the assigned country and mark it as A. How many units of masks and vaccines does the assigned country produce and consume at A? Compute the relative price of masks (PMask/PVaccine) at A. [Show your computation work] Note: Your diagram should look like Figure 6-1 in Chapter 6 of the textbook or a diagram on Slide #12 of the PowerPoint presentation "Standard Trade Model – Part 1: Equilibrium Trade" in Learning Unit #9 on Blackboard. b. (6 Points) Production and Consumption under Specialization & Trade Two countries (the U.S. and China) agree to trade goods at a relative price of masks (PMask/PVaccine) equal to 2/3, and the trade between the two countries balances. Find an optimal production point on the diagram of the PPF of the assigned country and mark it as P. How many units of masks and vaccines will the assigned country produce at P? Given the optimal production point (P), draw a trade possibility line (also known as a consumption possibilities line, iso-value line, budget line) of the assigned country on the diagram and mark it as vv. Given the trade possibility line (vv), find an optimal consumption point that maximizes the utility of the assigned country and mark it as C. How many units of masks and vaccines will the assigned country consume at C? Note: On this part, your diagram should look like Figure 6-3 in Chapter 6 of the textbook or a diagram on Slide #12 of the PowerPoint presentation: Standard Trade Model – Part 2 in Learning Unit #9 on Blackboard. Which good will the assigned country export, vaccines or masks? How many units of the goods will the assigned country export? Which good will the assigned country import, vaccines or masks? How many units of the goods will the assigned country import? [Show your computation work]