The marginal average cost of producing x digital sports watches is given by the function 6'(x), where 6(x) is the average cost in dollars. 1,300 2 1 X E'(x)= E(100)= 25 Find the average cost function and the cost function. What are the xed costs? E) The average cost function is 5(x) = El. The graph of the marginal cost function from the production of x 0'00 Q thousand bottles of sunscreen per month [where cost C(x) is in g 50 thousands of dollars per month] is given in the figure on the right. E Q Complete parts (A) through (C) below. ' ' E E 25 3 l3 .: X I- 0 0 2 4 Thousand bottles (A) Using the graph shown, describe the shape of the graph of the cost function C(x) as x increases from 0 to 4,000 bottles per month. Where is the cost function C(x) increasing and decreasing? {"1 A. C(x) is increasing from x = 0 to x = 2 and is decreasing from x = 2 to x = 4. E. I: B. C(x) is decreasing from x = 0 to x = 2 and is increasing from x = 2 to x = 4. E. _1- C. C(x) is increasing from x = 0 to x = 4. if} D. C00 is decreasing from x = 0 to x = 4. Monthly sales of a particular personal computer are expected to decline at the following rate of S'(t) computers per month, where t is time in months and S(t) is the number of computers sold each month. 2 3 em = - 30: The company plans to stop manufacturing this computer when monthly sales reach 600 computers. If monthly sales now (t = D) are 1,860 computers, find S(t). How long will the company continue to manufacture this computer? The rate of growth of the population N(t) of a new city t years after its incorporation is estimated to be dN E = 900 + eoo where 0 Sts 16. If the population was 8,000 at the time of incorporation, nd the population 16 years later. The population 16 years later will be (Round to the nearest integer as needed.) For an average person, the rate of change of weight W (in pounds) with respect to height h (in inches) is given approximately by the following formula. dW 2 E = 0.0012h Find W(h) if W(80) = 224.8 pounds. Also, nd the weight of a person who is 5 feet, 7 inches tall. W(h)