Final answer:
The MPL at L=10 is calculated as 300 by differentiating the APL function, APL = 600L - L^3, with respect to L and substituting L with 10.
Step-by-step explanation:
The student is asking to calculate the Marginal Product of Labor (MPL) given the Average Product of Labor (APL) function. The APL is given by the equation APL = 600L - L3, where L is the quantity of labor. To find the MPL, which is the derivative of the APL with respect to L, we differentiate APL with respect to L.
APL = 600L - L3
MPL = d(APL)/dL = 600 - 3L2
To find the MPL when L = 10, substitute 10 for L in the MPL equation:
MPL at L=10 = 600 - 3(10)2
MPL at L=10 = 600 - 3(100)
MPL at L=10 = 600 - 300
MPL at L=10 = 300
Therefore, the value of the MPL when L = 10 is 300.