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.
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