1) r(x) = 18x
2) c(x) = 4.50x + 30,000 because it costs them 4.50 for each slipper made plus the annual cost of 30,000. It doesn’t ask for how much they earned, just the costs.
3) p(x) = 18x - 4.50x - 30,000, they gain 18$ per slippers sold, lost 4.50 per slippers sold, and lost 30,000 from the annual fee. It can be simplified down to p(x) = 13.5x - 30000
4) loss of 3000$, substitute 2000 for x for the equation and solve
5) 172,500, same as the last question but substitute 15,000
6) p(x) = 19x - 5.25 - 30,000