Fifty people are seated in a movie theater. The maximum capacity of the theater is 425 people. Write an inequality to represent
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Answer:
Now we can set up the derivate equal to 0 and we have:
And solving for t we got:
For the second derivate respect the time we got:
So then we can conclude that t = 4.206 is a maximum for the function.
And the corresponding height would be:
So the maximum occurs at t = 4.206 s and with a height of 135.468 m
Step-by-step explanation:
For this case we have the following function:
In order to maximize this function we need to take the first derivate respect the time and we have:
Now we can set up the derivate equal to 0 and we have:
And solving for t we got:
For the second derivate respect the time we got:
So then we can conclude that t = 4.206 is a maximum for the function.
And the corresponding height would be:
So the maximum occurs at t = 4.206 s and with a height of 135.468 m
The total cost if x passengers booked reclining seats and one fifths y passengers booked twin-sharing rooms is (197x + 98y) dollars
<em><u>Solution:</u></em>
Given that,
Cost for reclining seat = $ 197
Cost for twin sharing room = $ 490
We have to find the cost if x passengers booked reclining seats and one fifths y passengers booked twin-sharing rooms
<em><u>Cost for reclining room when "x" passengers booked is:</u></em>
Cost for reclining room = $ 197x
<em><u>Cost when One fifths y passengers booked twin-sharing rooms</u></em>
Cost for twin sharing room =
Cost for twin sharing room = 98y
<em><u>Total cost is given as:</u></em>
Total cost = Cost for reclining room "x" passengers + Cost for twin sharing room for one fifths y passengers
Thus total cost is (197x + 98y) dollars