Question

Create a Java class (program) called PopulationGrowth.java. This program will compute the growth rates of a population over time. The program should take the following inputs from the user:

• p, the initial population size in the range [1...1000]

• b, the per capita birth rate in the range [0.0...1.0)

• d, the per capita death rate in the range [0.0...1.0)

• time_span, the number of years for which to compute population totals

Once the input is finished, the program must compute the population for the next time_span years and display each year's total to the screen. Use the formulas provided in the previous section to perform the necessary computations. The output report should have two columns of information: Year and Population Size. Remember that the first year is considered Year 0, not Year 1.

You must use a while loop for your calculations! Be aware that it is possible for the population to go extinct (i.e. have a population ≤ 1.0); at that point you must stop processing, close the report, and inform the user. Two test cases are provided below:

Test Case #1 (Growth - Increased Fertility)

Enter the initial population size [1-1000]: 100 Enter the birth rate [0.0...1.0): 0.5 Enter the death rate [0.0...1.0): 0.4 Enter the number of years [1...100): 10       YEAR     POPULATION          0            100          1            110          2            121          3            133          4            146          5            160          6            176          7            193          8            212          9            233

Test Case #2 (Extinction - Disease Epidemic)

Enter the initial population size [1-1000]: 100 Enter the birth rate [0.0...1.0): 0.4 Enter the death rate [0.0...1.0): 0.7 Enter the number of years [1...100): 15       YEAR     POPULATION          0            100          1             70          2             49          3             34          4             23          5             16          6             11          7              7          8              4          9              2         10              1         11              0 The population has gone extinc