A country initially has a population of four million people and is increasing at a rate

of 5% per year. If the country's annual food supply is initially adequate for eight

million people and is increasing at a constant rate adequate for an additional 0.25

million people per year.

a. Based on these assumptions, in approximately what year will this country first

experience shortages of food?

b. If the country doubled its initial food supply and maintained a constant rate of

increase in the supply adequate for an additional 0.25 million people per year, would

shortages still occur? In approximately which year?

c. If the country doubled the rate at which its food supply increases, in addition to

doubling its initial food supply, would shortages still occur?