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  1. The cost function for a product in a firm is given by 5q2, 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
    1. 5
    2. 10
    3. 15
    4. 25
Correct Option: A

p = 50q – 5q2

dp
= 50 - 10q
dq

d2p
< 0
dq2

Hence p is maximum at 50 – 10q = 0 or q = 5 Alternately check with options.



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