The company's profits on June 1, 2002 is $4500 and the company's profits many years into the future is $1000 per month.
The equation f(t) = (t^2 + 9) / (t^2+2) provides the monthly profits, in thousands of dollar, where t refers to months after June 1, 2002.
The company’s profit on June 1, 2002 using the equation is when t = 0 months
f(0) = (0^2 + 9) / (0^2+2) = 9/2 = 4.5 or $4500.
The company’s profit on many years into the future using the equation is given by:
Limit(t→∞)((t^2+9)/(t^2+2))= Limit(t→∞)(2t/2t)=1
Hence the monthly profit is $1,000.
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