Refer to the production function. The marginal product at 5 units equa

Refer to the production function. The marginal product at 5 units equals ________ units.

Fill in the blank(s) with correct word

ANSWER

To obtain the marginal product at 5 units, take the first derivative and substitute 5 for X

Y = 10X + 20X2 – X3
dy/dx = 10 + 40(X) – 3X2
= 10 + 40(5 ) – 3(5 )2
= 10 + 200 – 75
= 135 units