Suppose a firm takes two inputs labor and capital as, Business Economics

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Suppose a firm takes two inputs labor and capital as

Suppose a firm takes two inputs, labor and capital, as perfect substitutes.

a) In addition, this firm can substitute one labor for one capital. If wage is $2000 and rental rate for capital is $3000, what is the optimal labor and capital usage for this firm if it is to minimize cost?

b) If this firm can substitute two labors for one capital, what is the optimal labor and capital usage for this firm if it is to minimize cost?

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