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As head of the planning commission of Eastern Motors, your job is to determine where to locate a new plant. The only inputs used in your cars are steel and labor and the production function is Cobb-Douglas where f (S, L) = S.5L.5, where S is tons of steel and L is units of labor. You can locate your plant either in country A or country B. In country A, steel costs $7 a ton and labor costs $7 per unit. In country B, steel costs $8 per ton and labor costs $6 per unit. In which nation should the company locate its new plant so as to minimize costs per unit of output?
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