Question

If you have the average production function: APL=3L2 - 0.05L3, the function of marginal product of labour, MPL is

Answer 1

Answer:

The marginal product of labor function or MPL=$9L^{2}-0.2L^{3}$.

Step-by-step explanation:

• The Average Production Function or APL is given as $APL=3L^{2}-0.05L^{3}$ where "L" represents the overall amount labor in the production process.
• Therefore, the Total Production Function or TPL,in this case, would be $TPL=(3L^{2}-0.05L^{3})\times L$=$TPL=3L^{3}-0.05L^{4}$
• Hence,the Marginal Product of Labor, which is abbreviated as MPL will be=$\frac{dL}{dTPL}=(3\times 3L^{2})-(4\times 0.05L^{3})$=$9L^{2}-0.2L^{3}$
• Therefore,the marginal product of labor function or MPL=$9L^{2}-0.2L^{3}$