Solve the problem.
-The demand equation for a certain product is where p is the price per unit in dollars and q is the number of units demanded. Find dq/dp.
A) dq/dp = -5q/p
B) dq/dp = -p/5q
C) dq/dp = -5p/q
D) dq/dp = -q/5p

Question

Solve the problem.
-The demand equation for a certain product is  where p is the price per unit in dollars and q is the number of units demanded. Find dq/dp.
A) dq/dp = -5q/p 
B) dq/dp = -p/5q 
C) dq/dp = -5p/q 
D) dq/dp = -q/5p

Quizplus · Accepted Answer

Taking the derivative of the demand equation with respect to p gives:

d/dp (11ebb6d7_48c1_8d8c_b437_2959022fed8c_TB8593_11) = -5p/q^2

Rearranging and substituting dq/dp for the derivative gives:

dq/dp = -q^2/(5p)

Simplifying further results in:

dq/dp = -5p/q.

Solve the Problem. -The Demand Equation for a Certain Product Is Where