The marginal productive output of workers in a small manufacturing firm is given by MP = 8L – L2 + 20 where L is the number of workers hired by the firm. (a) Rewrite the equation above as a first order differential equation and find the general solution for the total productive output function P(L).  (b) Using Integration, or otherwise, compute the total productive output of the first 5 workers hired by this firm and compute the mean productive output of the first 5 workers hired by the firm.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.