Maharashtra State BoardHSC Commerce 12th Board Exam
Advertisement Remove all ads

The Price P for Demand D is Given as P = 183 + 120 D – 3d2. Find D for Which the Price is Increasing. - Mathematics and Statistics

Sum

The price P for demand D is given as P = 183 + 120 D – 3D2.
Find D for which the price is increasing.

Advertisement Remove all ads

Solution

The given function is p = `183 + 120 D – 3D^2` 

∴ `(dp)/(dD)=120-6D` 

Now `(dp)/(dD)`=`0⇒120-6D=0⇒D=20` 

For increasing the price 

`(dp)/(dD)>0` 

`120-6D>0` 

`-6D>-120` 

`D<120/6` 

`D<20` 

Demand and price cannot be negative
∴ Price is increasing in the internal (0, 20).

  Is there an error in this question or solution?
Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×