Profit is earned when revenue exceeds cost. Let the profit function for a skateboard manufacturer be given by P(x) = 30x - 0.3x^2 - 250, where x is the number of skateboards sold. Find (a) P(13) - the exact profit from the sale of the 13th skateboard, (b) P'(x) which is the marginal cost and (c) P'(13) which is the estimate profit from the sale of the 13th skateboard.
1) 12 ; P'(x) = 30 - 0.6x ; 12.30
2) 12 ; P'(x) = 30 - 0.6x ; 12
3) 12.30 ; P'(x) = 30 - 0.6x ; 12.30
4) 12.30 ; P'(x) = 30 - 0.6x ; 12