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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
A cable network provider in a small town has $500$ subscribers and he used to collect Rs. $300$ per month from each subscriber. He proposes to increase the monthly charges and it is believed that for every increase of Rs. $1$, one subscriber will discontinue the service.
The maximum revenue generated is:
Solution
Revenue function:
$R=(300+x)(500-x)$
Expand:
$R=150000+200x-x^2$
This quadratic is maximum at
$x=100$
Now substitute:
$R=(300+100)(500-100)$
$R=400\times 400$
$R=160000$
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