The amount of fish caught per week on a trawler is a function of the crew size assigned to operate the boat. Based on past data, the following production schedule was developed: Crew size 2 3 4 5 6 7 8 9 10 11 12Fish caught (100 lbs/week) 3 6 11 19 24 28 31 33 34 34 33 b) How large a crew should be used if the trawler owner is interested in maximizing the total amount of fish caught?c) How large a crew should be used if the trawler owner is interested in maximizing the average amount of fish caught per person?d) Suppose the owner can sell all the fish caught for $75 per 100 pounds and can hire as many crew members as desired by paying them $150 per week. Assuming that the owner of the trawler is interested in maximizing profits, determine the optimal crew size.
The amount of fish caught per week on a trawler is a function of the crew size assigned to operate the boat. Based on past data, the following production schedule was developed:
Crew size 2 3 4 5 6 7 8 9 10 11 12
Fish caught (100 lbs/week) 3 6 11 19 24 28 31 33 34 34 33
b) How large a crew should be used if the trawler owner is interested in maximizing the total amount of fish caught?
c) How large a crew should be used if the trawler owner is interested in maximizing the average amount of fish caught per person?
d) Suppose the owner can sell all the fish caught for $75 per 100 pounds and can hire as many crew members as desired by paying them $150 per week. Assuming that the owner of the trawler is interested in maximizing profits, determine the optimal crew size.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
