C

Write a program that calculates the estimated population of rabbits over time using the following equation: R(time [months]) = (initial population * carrying capacity) / (initial population + (carrying capacity - initial population) *e^(-growth rate * time ) Prompt the user for the growth rate with the prompt: Enter in the growth rate: the carrying capacity (the maximum allowable population) with the prompt: Enter in the carrying capacity: and the initial population with the prompt: Enter in the initial population: Calculate the population over 100 months, beginning at zero months, and store the results in an array of integers. Print out your results in a table showing the population at every month for the first 10 months, then every 5 months until 40 months, and then every 10 months. The final output should appear as follows if the growth rate is 0.1, carrying capacity is 25000, and initial population is 2000. Enter in the growth rate: Enter in the carrying capacity: Enter in the initial population: MONTH POPULATION 0 2000 1 2191 2 2400 3 2626 4 2870 5 3134 6 3419 7 3725 8 4053 9 4404 10 4779 15 7010 20 9779 25 12860 30 15897 35 18556 40 20650 50 23202 60 24307 70 24740 80 24903 90 24964 60 70 80 90 24307 24740 24903 24964 24986 100 Hint 1: It is recommended that you implement this program using four sequential (i.e., not nested) for loops. In the first for loop, you should calculate the number of rabbits in the population in each month (from 0 to 100) and store the values in an array. In the second for loop, you should print the rows of the table for months 0 through 10. In the third for loop, you should print the rows of the table for months 15 through 40 (in increments of 5). Finally, in the fourth for loop, you should print the rows of the table for months 50 through 100 (in increments of 10). Hint 2: Use the following compile string to compile your code: gcc HW5_17.c -Wall -o a.out -lm Note that the -Im term is required when you include math.h in your code