Suppose that the firm output is given by q=aLK2 specify the marginal products of labour and capital
For the firm output given,
the Marginal product of labour will be,
"\\frac{\\delta q}{\\delta L}=1aL^{1-1}K^2 =\\frac{q}{L}"
and the Marginal product of capital will be,
"\\frac{\\delta q}{\\delta K}=2aLK^{2-1}=\\frac{2q}{K}"
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