Suppose N1= 16 and N2= 12. At which lake is the average catch per fisher greater? In light of this...

Question

Suppose N1= 16 and N2= 12. At which lake is the average catch per fisher greater? In light of this fact, how would you expect the fishers to redeploy themselves?

David · Accepted Answer

In a particular region, there are two lakes rich in fish. The quantity of fish caught in each lake 
depends on the number of persons who fish in each according to 
Q1 = 15 N1- 0.5 N12 and Q2 = 8 N2 - 0.2 N22  
where N1 and N2 denote the # of fishers at each lake.  
In all there are 28 fishers, i.e. N1 + N2 = 28. 
(a) Suppose N1 = 16 and N2 = 12. At which lake is the average catch per fisher greater? In light of 
this fact, how would you expect the fishers to redeploy themselves?  
(b) How many fishers will settle at each lake?

Suppose N1= 16 and N2= 12. At which lake is the average catch per fisher greater? In light of this fact, how would you expect the fishers to redeploy themselves?

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