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Assume the following relationship between annual fishing effort (fishing days) and total annual catch/change in stock. For purposes of this exercise, total annual catch represents

Assume the following relationship between annual fishing effort (fishing days) and total annual catch/change in stock. For purposes of this exercise, total annual catch represents the increase in total fishery stock associated in a fishing season (i.e., the annual change in total fish stock). In other words, the total catch removes the incremental (yearly) increase in total fishing stock.

Annual Fishing

Effort (days)

Total

Annual Catch

0

0

1

1,950

2

3,700

3

5,250

4

6,600

5

7,750

6

8,700

7

9,450

8

10,000

9

10,350

10

10,500

11

10,350

12

10,000

13

9,450

14

8,700

15

7,750

16

6,600

17

5,250

18

3,700

19

1,950

20

0

The revenue for each lb. of fish caught is $2.00.

The cost of each day of fishing effort is $411/day

a. Identify the number of days of fishing effort that will maximize the economic returns from this fishery, assuming there is a single owner who has exclusive access to this fishery resource.

b. What is the value of this fishery based on your answer to Question 6, assuming a 5% annual discount rate and fishing starts one year from now?

c. Identify the days of fishing effort that will occur if there is open access to this fishery resource.

d. If new fishing regulations increase the cost for each day of fishing to $618 (a $207 increase over the initial $411/day cost of fishing), identify the number of days of fishing effort that will occur if there is open access to the fishery resource.

e. Now assume that due to an increase in demand for fish, the revenue for each lb. of fish caught increases to $4 (a $2/lb increase over the initial $2/lb), identify the level of fishing effort (annual days of fishing) that will occur if there is open access to the fishery resource. Assume the cost of fishing is $411/day of fishing effort.

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