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cluponka [151]
3 years ago
5

The Florida Fish and Wildlife Conversation Commission (FWC) plans to hire hunters to kill the Burmese python, an invasive specie

s in Everglades, South Florida. It is estimated that there are 100,000 pythons in Everglades and their population is governed by P' = P(100,000 – P). Assume that each hunter kills 5 python everyday. At least how many hunters should FWOC hire in order to completely remove the python from the area?

Mathematics
1 answer:
andrew-mc [135]3 years ago
3 0

Complete Question

The complete question is shown on the first uploaded image

Answer:

FWOC should hire 70,000 hunters to completely remove the python in the area

Step-by-step explanation:

From the question we are given that the Initial Pythons P_o= 100,000

And the final python   P_f =100,000+\frac{P}{10,000}(100,000-P)

                                      P_f = 100,000 + 10P -\frac{P^2}{10,000}

                For Max Number of  Python

                                        => \frac{dP_f}{dP} = 0

                                        => \frac{dP_f}{dP} =  100,000 -2P = 0

                                       =>   P = 50,000

Hence the maximum number of pythons Max_P =100,000 +\frac{50,000}{10,000} (50,000)

                                                                               =350,000

Using Mathematical relations

              from the Question

     5 python is killed by  = 1 hunter

      1 python is killed by =  \frac{1}{5}  \ hunters

      350 , 000 pythons are killed by  =   \frac{350,000}{5}

                                                             = 70,000 \ hunters

   

                                         

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