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Heckscher-Ohlin model help

Hi guys, having some trouble with some Heckscher-Ohlin model questions. I feel like I know how to do it but I can't quite get it out my head. Any help would be greatly appreciated.


For Cloth production, for any ray from the origin that has a slope of x, the slope of a tangent of an isoquant at a point which crosses this particular ray is -3x. For Food production, for any ray from the origin that has a slope of y, the slope of a tangent of an isoquant at a point which crosses this particular ray is -2y.

Suppose that there are two countries, A and B, that have the same technology described above for Cloth and Food. Before trading with each other, Country A employs 45 units of K and 15 units of L in the Cloth industry. In the Food industry it employs 45 units of K. Country B employs K = 10, L = 40 in the Cloth industry and K = 15 in the Food industry.

(a) Determine the factor prices w/r in country A in the two sectors and the amount of L employed in the Food industry.
(b) Determine the factor prices w/rin country B in the two sectors and the amount of
L employed in the Food industry.
(c) Determine the comparative advantage for each country and the trade pattern.
Which group in A will oppose opening up trade and why?
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