Answer:
The population that gives the maximum sustainable yield is 45000 swordfishes.
The maximum sustainable yield is 202500 swordfishes.
Step-by-step explanation:
Let be
, the maximum sustainable yield can be found by using first and second derivatives of the given function: (First and Second Derivative Tests)
First Derivative Test

Let equalize the resulting expression to zero and solve afterwards:


Second Derivative Test

This means that result on previous part leads to an absolute maximum.
The population that gives the maximum sustainable yield is 45000 swordfishes.
The maximum sustainable yield is:


The maximum sustainable yield is 202500 swordfishes.
Answer:
Step-by-step explanation:
Answer:
domain: All real numbers
Range: all real numbers greater than or equal to 0
Step-by-step explanation:
Edge 2020
Answer:
Step-by-step explanation:
(a)
Total cost = (7 items * Cost per item) + Shipping fee = 7*6.5 + 8.5 = $54
(b)
Modelling the above equation with symbols:
c = s*6.5 + 8.5 = 6.5s + 8.5
(c)
For a total cost of 80$, c = 80:
80 = 6.5s + 8.5
Calculating, we get:
s = 11 items
Rachel ordered a total of 11 items
He should invest $80,000 if he wants $8,000 at 10% interest. He can withdraw $8,000 at the end of each year. This is because if $8,000 is 10% of what he has in his bank account, to get the full amount (100%), we can multiply by 10, because 10% x 10= 100%. So $8,000 x 10= $80,000.