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Solution - price P for demand D is given as P = 183 +120D - 3D2 Find D for which the price is increasing - Increasing and Decreasing Functions

Question

Price P for demand D is given as P = 183 +120D - 3D2 Find D for which the price is increasing

Solution

Price function P is given by

`P=183+120D-3D^2`

Differentiating w.r.t. D

`"dP"/"dD"=120-6D`

If price is increasing then we have

`"dP"/"dD">0`

120-6D >0

6D <120

D<20

if the demand is less than units then Price increases

Is there an error in this question or solution?

APPEARS IN

2014-2015 (March)
Question 1.5 | 2 marks
Solution for question: price P for demand D is given as P = 183 +120D - 3D2 Find D for which the price is increasing concept: Increasing and Decreasing Functions. For the courses HSC Arts, HSC Commerce, HSC Commerce (Marketing and Salesmanship), HSC Science (Computer Science), HSC Science (Electronics), HSC Science (General)
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