Given the production function $Q = L ^ { 2 }$, calculate the average product of labor for $L = 2$, and also calculate the marginal product of labor between $\mathrm { L } = 1$ and $\mathrm { L } = 2$.
A)The average product of labor is 2 and the marginal product of labor is 2.
B)The average product of labor is 1 and the marginal product of labor is 3.
C)The average product of labor is 3 and the marginal product of labor is 2.
D)The average product of labor is 2 and the marginal product of labor is 3.

Question

Quizplus · Accepted Answer

The average product of labor (APL) is calculated as $Q/L$, which for $L = 2$ is $4/2 = 2$. The marginal product of labor (MPL) is the change in output when labor increases by one unit, so for $L = 1$ to $L = 2$, $Q$ changes from $1^2 = 1$ to $2^2 = 4$, thus MPL is $4 - 1 = 3$.

Given the Production Function Q=L2Q = L ^ { 2 }Q=L2

Given the Production Function $Q = L ^ { 2 }$