Expert answer:Need algebra help with the total product function

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Answer & Explanation:if the total product function (output) by using L units of labor input is TP(L) units whereTP(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 isTP(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 asMP(L) =dTP(L)/dL

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