In: Economics
Assume a Ricardian model with two countries, Home and Foreign, that both produce coffee and tea. Home has 600 units of labor (L) available. Home’s unit labor requirement in the production of coffee is aLC = 4, while in the production of tea it is aLT = 3. Foreign has 800 units of labor (L*) available. Foreign’s unit labor requirement in the production of coffee is a*LC = 2, while in the production of tea it is a*LT = 1.
a) Assume there is no trade. Moreover, markets are competitive and wages equal marginal productivities.
a1) Determine Home’s production possibility frontier (PPF), i.e., denote QC as a function of QT where QC denotes the output of coffee and QT denotes the output of tea.
a2) Determine the wages that are paid in both sectors in Home. Provide a brief explanation.
a3) What are the equilibrium relative prices of coffee in terms of tea in both countries? Provide a brief explanation.
b) Assume now that there is free trade.
b1) Assume the world relative price of coffee in terms of tea is PTC / PTT= 1.5. Determine the production output of coffee and tea for both countries. Explain how you get to your results.
b2) Assume the world relative price of coffee in terms of tea increases to PTC / PTT = 2. How does your answer to part b1) change? Briefly explain.