Question

In two periods each of 20 years a city population grew from 30000 to

172000 to 292000. Find Saturation Population, the coefficient of logistic

equation and the expected population in the next 20 years.​

Answer 1

Answer:

1. Saturation population = 312745

2. The coefficient of logistic curve= 9.425

3. Expected population in next 20 years= 289078

Step-by-step explanation:

Answer 2

Answer: Saturation Population=312745

Coefficient of logistic equation=9.424

Population in next 20 years=289078

Step-by-step explanation:

• Let $P_{0} =30000\ P_{1}=172000\ P_{2}=292000$
• Now saturation population=$\frac{2P_{0}P_{1}P_{2}-P_{1} ^{2} [P_{0}+P_{2} ] }{P_{0}P_{2} -P_{1} ^{2} }$
• On putting the value we get saturation population($P_{S}$)=312745
• To find the coefficient of logistic  equation(m)=$\frac{P_{S}-P_{0} }{P_{0} }$

                                                                                    =$\frac{312745-30000}{30000}$

                                                                                    =9.424

• Population in next 20 years=$\frac{P_{S} }{1+mlog_{e}^{-1}(nt) }$

                                                     =289078

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