THis will be the coordinates of the point at a turning point on the graph.
Since the second derivative is positive (=1) it will be a minimum value of f(x).
Answer: you can use 260 min, 60 min at a fixed price ($20) and extra 200.
Step-by-step explanation:
C(x) = 20 + 0.20(x − 60)
C(x) ≤ 60
20 + 0.20(x − 60) ≤ 60
0.20(x − 60) ≤ 60 - 20
0.20x - 12 ≤ 40
0.20x ≤ 40 + 12
0.20x ≤ 52
x ≤ 52/0.2
x ≤ 260
This way, you can use 260 min, 60 min at a fixed price ($20) and extra 200.
The restrictions are:
1) x ≥ 0
2) number of lower bowl seats = 65% * 18500 = 12,025
=> x ≤ 12,025
3) y ≥ 0
4) number of upper bowl seats = 35% * 18500 = 6,475
=> y ≤ 6,475
It is not necessary to state that x + y ≤ 18,500 because it is included in the other restrictions.
A snail travels at a rate of 2.58 feet PER MINUTE. After 9 minutes, it will travel 2.58 * 9 feet.
2.58 * 9 = 23.22 feet.
The snail travels 23.22 feet in 9 minutes.
You can see that it travels 2.58 feet per minute. In the next minute, it will travel another 2.58 feet. And so on until the 9th minute passes. This is the same as:
2.58 + 2.58 + 2.58 + 2.58 + 2.58 + 2.58 + 2.58 + 2.58 + <span>2.58 = 9 * 2.58 = 23.22</span>