Question #44112

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:

CRRW SIZE

(Number of workers) Amount of Fish caught per week

(Hundreds of LBS)

2 3

3 6

4 11

5 19

6 24

7 28

8 31

9 33

10 34

11 34

12 33

Supposed the owner of the trawler can sell all the fish caught for $75 per 100 pound 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 maximising profits, determine the optimal crew size.

CRRW SIZE

(Number of workers) Amount of Fish caught per week

(Hundreds of LBS)

2 3

3 6

4 11

5 19

6 24

7 28

8 31

9 33

10 34

11 34

12 33

Supposed the owner of the trawler can sell all the fish caught for $75 per 100 pound 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 maximising profits, determine the optimal crew size.

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