申論題

3. On the island of Pago-Pago, there are two lakes and 20 fishers. Each fisher gets to fish on either lake and gets to keep the average catch on that lake. On Lake X, the total number of fish caught is given by one firm ent aeus mroducts.

Where Lx is the number of fishers on the lake. The amount an additional fisher will catch is MP.=10 - Lx. For

Lake Y, the relationship is

(b) The chief of Pago-Pago, having once read an econ nomics book, believes that she can raise the total number of fish caught by restricting the number of fishers allowed on Lake X. What is the correct number of fishers on Lake X to allow in order to maximize the total catch of fish? What is the number of fish caught in this situation? (7%)