Answer:
The population size would be 
The yield would be 
Explanation:
So in this problem we are going to be examining the application of a population dynamics a fishing pond and stock fishing and objective would be to obtain the maximum sustainable yield and and the population of the fish at the obtained maximum sustainable yield, so basically we would be applying an engineering solution to fishing
So the current yield which is mathematically represented as
Where dN is the change in the number of fish
and dt is the change in time
So in order to obtain the solution we need to obtain the rate of growth
For this we would be making use of the growth rate equation which is
![r = \frac{[\frac{dN}{dt}] }{N[1-\frac{N}{K} ]}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B%5B%5Cfrac%7BdN%7D%7Bdt%7D%5D%20%7D%7BN%5B1-%5Cfrac%7BN%7D%7BK%7D%20%5D%7D)
Where N is the population of the fish which is given as 4,000 fishes
and K is the carrying capacity which is given as 10,000 fishes
r is the growth rate
Substituting these values into the equation
![r = \frac{[\frac{2000}{year}] }{4000[1-\frac{4000}{10,000} ]} =0.833](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B%5B%5Cfrac%7B2000%7D%7Byear%7D%5D%20%7D%7B4000%5B1-%5Cfrac%7B4000%7D%7B10%2C000%7D%20%5D%7D%20%20%3D0.833)
The maximum sustainable yield would be dependent on the growth rate an the carrying capacity and this mathematically represented as
So since the maximum sustainable yield is 2082 then the the population need to be higher than 4,000 so in order to ensure a that this maximum yield the population size denoted by 
would be
Answer:
Marcus would have to take an exam administered by the national council of examiners for engineering and surveying.
Explanation:
Civil engineers design, construct, and maintain projects regarding infrastructure. A civil engineer also looks after the systems in the public and private sectors like roads, buildings, and systems for water supply and sewage treatment.
In order to pursue a career in civil engineering, Marcus aims to work for the city council as a civil engineer. Therefore, he would have to take an exam administered by the national council of examiners for engineering and surveying.
That would be B, I hope this helps!
Answer:
hello your question is incomplete attached below is the complete question
A) overall mean = 5.535, standard deviation ≈ 0.3239
B ) upper limit = 5.85, lower limit = 5.0
C) Not all the samples meet the contract specifications
D) fluctuation ( unstable Asphalt content )
Explanation:
B) The daily average asphalt content has to obtained in order to determine the upper and lower control limits using an average asphalt content of 5.5% +/- 0.5% everyday
The upper limit : 14 may = ( 5.8 + 5.1 ) / 2 = 5.85
The lower limit : 16 may = ( 5.2 + 4.8 ) / 2 = 5.0
attached below is the required plot
C ) Not all the samples meet the contract specifications and the samples that do not meet up are samples from :
15 may and 16 may . this is because their Asphalt contents are 6.2 and 4.8 respectively and sample number 18 and 20
D ) what can be observed is that the ASPHALT content fluctuates between the dates while the contract specification is fixed
