Charles decides to start an ostrich farm with a population of 200 ostriches. The expected annual birth rate is 5%. Charles will purchase 50 additional ostriches each year.
a) If he sells 40% of the ostriches each year, how many ostriches will there be in the herd after 5 years? Show your work.
Charles must always keep a minimum of 76 ostriches on the farm. Will his plan maintain this level in the long term?