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Question

The cost function for a product in a firm is given by `5q^2` , where q is the amount of
production. 

The firm  can  sell  the  product  at a  market  price  of Rs.50 per  unit. The number  of
units to be 

produced by the firm such that the profit is maximized is 


Options:
A .  5
B .  10
C .  15
D .  25
Answer: Option A

P = 50q - `5q^2`

`(dp)/(dq)` = 50 - 10q;  `(d^2p)/(dq^2)` < 0

`:.`  p is maximum at 50 - 10q = 0 or, q = 5 

Else check with options



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