Question

# Consider 2 countries, Holland and Sweden (H and S). The marginal productivities of one year of labor in the industries Machinery (M) and Furniture (F) are given in the following table:

Each country has a population of 10 million people, all of whom provide one unit of Labor. Graph the PPFS for Holland and Sweden. Throughout the problem, put Machinery onа.the X-Axis. As in lecture, assume that the national utility function is the same in each country and given by a Cobb-Douglas formula: U(M,F)=M'²F/2. This makes M U_{M}=\frac{1}{2} \frac{F^{\overline{2}}}{M^{\frac{1}{2}}} \text { and } M U_{F}=\frac{1}{2} \frac{M^{\overline{2}}}{F^{\frac{1}{2}}} b. What is the formula for the Marginal Rate of Substitution? c. In autarky, what is the production/consumption levels of M and F in Holland?Sweden?In 1. What is the utility level for Holland in Autarky? For Sweden? e. Plot the excess demand and excess supply curves for Machinery at world price ratios(P=Pm/Pf) bet greater than 1.the excess demander and which is the excess supplier for M.)(As part of this, you'll need to determine which country is f. At what price ratio does excess demand equal excess supply for Machinery? g. At the price ratio you found in part f, how much Furniture is exchanged across the countries? h. After trade, what is the utility level for Holland? For Sweden?

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