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

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Advance Math

  1. The total market value of fish caught by a fleet of fishingboats (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 entirefishing fleet
  2. Find the number of boats that would maximize this total netprofit
  3. Suppose that when B boats operate, each boat gets V/B (catch issplit equally). Each boat captain can decide to operate in a givenmonth or not. How many boats will choose to operate?
  4. What is V and V/B with the number of boats you found in3)c)?

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