Question
Price P for demand D is given as P = 183 +120D - 3D2 Find D for which the price is increasing
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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
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Reference Material
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 Science (Electronics), HSC Science (Computer Science), HSC Science (General) , HSC Arts, HSC Commerce (Marketing and Salesmanship), HSC Commerce