1.

A telecom company offers calls for day and night hours. Calls can be aviled 8 hours during the day and 4 hours at night and at most 10 hours a day . The profit on the day calls is Rs. 60 per hour, and on night calls Rs. 50 per hours. How many hours during the day and at night a customer must use to fetch amaximum profit to the company ?

Answer»

6 HOURS during day and 4 hours at night
5 hours during day and 5 hours at night
8 hours during day and 2 hours at night
6 hours during day and 2 hours at night .

Solution :Let the number of hours used duringthe day =x
Let the number of hours used at night =y
Given , `x+y LE 10 ,x le 8 and y le 4`.
Profit on day CALLS = Rs. 60 per hours.
Profit on night calls = Rs 50 per hour
Profit function p=60x+50y

The maximum profit is ATB(8,2)
`:. P=60x+50y`
`=60xx8+50xx2=480+100=580`
`:.` 8 hours during the day and 2hours at night .


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