The average cost per item to produce q items is given by a(q) = 0.01q' - 0.6q + 16, for q > 0. What is the total cost, C(q), of producing 9 goods? C(q) = What is the minimum marginal cost? minimum MC = (Be sure you can say what the practical interpretation of this result is!) At what production level is the average cost a minimum? What is the lowest average cost? minimum average cost = Compute the marginal cost at q = 30, MC(30) = How does this relate to your previous answer? Explain this relationship both analytically and in words.t months after initiating an advertising campaign, S(t ) hundred pairs of a product are sold, where 2 14 S(t) = 7+ 2 (t+ 2)2 + 22 (a) Find S' (t) and S" (t). S' (t) = S" (t) = (b) At what time will the sales be maximized? After months. What is the maximum level of sales? pairs sold (c) The program will be discontinued when the sales rate is minimized. When does this occur? After months What is the sales level at this time? pairs sold What is the sales rate at this time? pairs per monthThe demand for a fitness video game roughly follow the equation p = 150 - 62.42vx, 0