If the demand function for a certain commodity is $p ( x ) = 4 - \frac { x } { 30 }$ and the consumer surplus is 15, what should be the production level?
A)90
B)45
C)15
D)70
E)30
F)60
G)20
H)80

Question

Quizplus · Accepted Answer

The consumer surplus is the area between the demand curve and the price level up to the production level. Solving the integral of the demand function from 0 to x and setting it equal to 15 gives the production level as 30.

If the Demand Function for a Certain Commodity Is p(x)=4−x30p ( x ) = 4 - \frac { x } { 30 }p(x)=4−30x​

If the Demand Function for a Certain Commodity Is $p ( x ) = 4 - \frac { x } { 30 }$