Attempt the following:
The price P for demand D is given as $P = 183 + 120 D - 3 D^{2}$ . Find D for which the price is increasing.

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Solution

Price (P) is increasing $\Rightarrow P^{^{'}} > 0$

$\Rightarrow 120 - 6 D > 0$

$\Rightarrow D < 20$

$\Rightarrow$ for demand (D) <20, price (P) will be increasing

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Similar questions

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

Price (P) is increasing ⇒P′>0⇒120−6D>0⇒D<20⇒for demand (D) <20, price (P) will be increasing

Attempt the following:
The price P for demand D is given as $P = 183 + 120 D - 3 D^{2}$ . Find D for which the price is increasing.

Price (P) is increasing $\Rightarrow P^{^{'}} > 0$

$\Rightarrow 120 - 6 D > 0$

$\Rightarrow D < 20$

$\Rightarrow$ for demand (D) <20, price (P) will be increasing