**Please only answer part j of the question below!
Assume that Home and Foreign produce only two goods – Cars and Tvs. Home has 400 units of labour available. In Home, the unit labour requirement in car production is 40 and in TV production it is 20. On the other hand, Foreign has 450 units of labour available. Foreign’s unit labour requirement in car production is 75, while in TV production it is 15.
a. Graph both Home’s and Foreign’s production possibility frontiers. [3 points]
b. Calculate the opportunity cost of producing cars in terms of TVs in both Home and Foreign. [3 points]
c. In the absence of trade, what would the price of cars in terms of TVs be in both countries? Why? [3 points]
d. Construct the world relative supply curve. Explain clearly the steps of deriving world relative supply curve in details. Illustrate it on a diagram. [3 points]
Now suppose world relative demand takes the following form:
Demand for cars/demand for Tvs = price of TVs/price of Cars.
e. Graph the world relative demand curve along with the world relative supply curve. [3 points]
f. What is the free-trade equilibrium relative price of cars? [3 points]
g. Describe the pattern of specialization and trade. [3 points]
h. Show that both Home and Foreign gain from trade. [3 points]
i. Suppose that the number of workers increases from 400 to 800 in Home. Find the new equilibrium relative price. What can you say about the efficiency of world production and the gains from trade between Home and Foreign in this case? [3 points]
j. Suppose that Home has now 800 workers, but they are only half as productive in both industries as we have been assuming. Consider Foreign to have the initial 450 workers only and the same productivity in both industries. Construct the world relative supply curve and determine the equilibrium relative price. How do the gains from trade compare with those in the case described in problem h. [3 points]