# 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.

#### 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).

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