The county news earns a profit of $20 per year for each of its 3000 subscribers. Management projects that the profit per subscriber would increase by $0.01 for each additional subscriber over the current 3,000. How many subscribers are needed to bring a total profit of $113,100?

Answer 1

If there are x subscribers over 3000, the profit function is

p(x) = (20 + .01x)(3000+x) for x>0
x = 900