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In: Advanced Math

The total market value of fish caught by a fleet of fishing boats (per month) is...

  1. The total market value of fish caught by a fleet of fishing boats (per month) is given by:

V = $40,000B - $1000B2

Where B is the number of boats engaged in fishing.   The cost of running one fishing boat for one month is $18,000, giving the total cost of running B fishing boats as $16,000B

  1. Write down an expression for total net profit for the entire fishing fleet
  2. Find the number of boats that would maximize this total net profit
  3. Suppose that when B boats operate, each boat gets V/B (catch is split equally). Each boat captain can decide to operate in a given month or not. How many boats will choose to operate?
  4. What is V and V/B with the number of boats you found in 3)c)?

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