The demand function for q units of a product at $p per unit is given by p(q + 3)2 = 100,000. Find the rate of change of quantity with respect to price when p = $40.

-0.625 unit

Step-by-step explanation:

Given that:

where;

p = price

q = quantity

To find the rate of change of quantity (q) with respect to price (p) we go by the differentiation

when P =40

Then 4(q+3)² = 100, 000

(q+3)² =

(q+3)² = 25,000

(q+3) =

q+ 3 = 50

q = 50 -3

q = 47

NOW;

Thus, the rate of change of quantity with respect to price when p = $40 is -0.625 unit.

where are the choices?

step-by-step explanation:

i'm pretty sure it would take 20 hours because it's half the men so you multiply the number of hours it takes by 2