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प्रश्न
The price P for demand D is given as P = 183 + 120D - 3D2. Find d for which the price is increasing.
योग
उत्तर
Price function P is given by
P = 183 + 120D - 3D2
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 demand is less than 20 units then price increases.
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