Programming Problem 2 This program is designed to analyze the growth of two citi

Question

Programming Problem 2 This program is designed to analyze the growth of two cities. Each city has a starting population and annual growth rate. The smaller city has the larger growth rate (required). Show the comparative populations of each city year by year until the smaller city has grown larger than the bigger city. As an example, Dogville has a population of 5000 growing at 20% annually while Cattown has a population of 7000 growing at 10% annually. The projected populations are: Year Dogville Cattown 1 6000 7700 2 7200 8470 3 8640 9317 4 10368 10249 1. Identify the inputs and outputs of the problem. 2. Identify the processing needed to convert the inputs to the outputs. 3. Design an algorithm in pseudocode to solve the problem. Make sure to include steps to get each input and to report each output. 4. Identify three significant test cases including one for incorrect input (ie Small town has lower growth rate). For each of the three test cases show what inputs you will use and calculate what your expected outputs should be. 5. Write the program to implement your algorithm. Test your program using your test cases.

Explanation / Answer

(a) Inputs : starting population and annual growth rate (int percentage) of both the cities Outputs : projected yearwise population of both the cities (b) For each of the cities, make the next year population as (1+ 0.01 * rate) * current population. (c) 1. Get starting population and annual growth rate of first city 2. Get starting population and annual growth rate of second city 3. Till population of second city

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