S=50x-x^2
dS/dx=50-2x
d2S/dx2=-2
Since acceleration is a constant negative, when velocity equals zero, it is at the absolute maximum point for S(x)...
dS/dx=0 only when 50-2x=0, 2x=50, x=25
So the price that will maximize income is $25.00 a seat.
And that maximum income is:
S(25)=50x-x^2
S(25)=$625.00
Answer:
x= -3
Step-by-step explanation:
The yearly salary after paying for taxes, insurances and other expenses is r808.42.
<h3>What is the yearly salary?</h3>
The first step is to determine the total fraction used to pay for taxes, insurances and other expenses:
1/2 + 1/16 + 5/6
(48 + 6 + 80) / 96 = 134 / 96= 1 19/48
Now subtract 1 19/48 from 1
1 19/48 - 1 = 19/48
Finally, divide 19/48 by 320
320 x 48/19 = r808.42
To learn more about the division of fractions, please check: brainly.com/question/25779356
1.5, 2.25, 3.375, 5.0625, 7.59375... and so on
