# Food crisis!

Calculus Level pending

A country has a food deficiency of $$10 \%$$. Its population grows continuously at the rate of $$3 \%$$ per year. Its annual food production every year is $$4 \%$$ more than that of the last year. Assuming that the average food requirement per person remains constant, then the country shall become self-sufficient in food after $$n$$ years, where $$n$$ is a the smallest integer bigger than or equal to $$A$$. Find $$A$$. Give you answer upto $$2$$ decimal places.

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