Answer to Question #215750 in Calculus for Marvin

Question

y Q = 300√ L − 4L, where Q denotes output and L denotes the size of workfor e, al ulate the value of marginal produ t of labour if L = 9

Answer 1

Solution.

$$Q=300\sqrt{l}-4l.$$

Marginal product

$MP=\frac{dQ}{dl}.$

$MP=300\frac{1}{2\sqrt{l}}-4=\frac{150}{\sqrt{l}}-4.$

If $l=9,$ then

$MP=\frac{150}{\sqrt{9}}-4=46.$

Answer. 46.