Mathematics

Shane Hurst

3 October, 18:45

Suppose that the monthly cost, in dollars, of producing x chairs is C (x) = 0.006x^3 + 0.07x^2 + 19x + 700, and currently 35 chairs are produced monthly. a) What is the current monthly cost? b) What would be the additional cost of increasing production to 38 chairs monthly? c) What is the marginal cost when x = 35? d) Use the marginal cost to estimate the difference in cost between producing 35 and 37 chairs per month. d) Use the answer from part (d) to predict C (37). a) The current monthly cost is $ b) The additional cost of increasing production to 38 chairs monthly is $ c) The marginal cost when x = 35 is $ d) Using the marginal cost found in part c), the difference between producing 35 and 37 chairs per month is $ e) C (37) = $