HSC Science (General) 12th Board ExamMaharashtra State Board
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# price P for demand D is given as P = 183 +120D - 3D2 Find D for which the price is increasing - HSC Science (General) 12th Board Exam - Mathematics and Statistics

#### 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

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#### APPEARS IN

2014-2015 (March) (with solutions)
Question 1.5 | 2.00 marks

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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 Concept: Increasing and Decreasing Functions.
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