if the total product function (output) by using L units of labor input is TP(L) units where
TP(L) = aL+bL^2 −cL^3,a > 0,b > 0,c > 0.
(a)Find the expression for the marginal product of the Lth labor input, which is
TP(L)−TP(L−1). (b) Take a = 100, b = 1 and c = 1 to answer the remaining parts. Find the marginal product of the second labor input. (c)Find the marginal product of the ﬁfth labor input. (d)Recall marginal product is deﬁned using the derivatives as