The graph of the marginal cost function from the production of x thousand bottles of AC'(X) sunscreen per month [where cost C(x) is in thousands of dollars per month] is given in the 40- figure on the right. Complete parts (A) through (C) below. Thousand dollars/month 20- 1.* 3 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 6,000 bottles per month. Where is the cost function C(x) increasing and decreasing? O A. C(x) is increasing from x = 0 to x = 3 and is decreasing from x = 3 to x = 6. O B. C(x) is decreasing from x = 0 to x = 3 and is increasing from x = 3 to x = 6. O C. C(x) is decreasing from x = 0 to x = 6. O D. C(x) is increasing from x = 0 to x = 6.Math 135 Calculus | (Spring 2022): Sections 16-18 HAO ZENG ? E Homework: Homework: Section 4.9 (Antiderivatives) 0 The solution of the initial value problem is v(x) =].Homework: Homework: Section 4.9 Question 14, *5.1.89-BE HW Score: 15.24%, 6.4 of 42 points (Antiderivatives) Part 2 of 3 Points: 1 of 3 A defense contractor is starting production on a new missile control system. On the basis of data collected during the assembly of the first 4 control systems, the production manager obtained the function L'(x) =900x - describing the rate of labor use. For example, after assembly of 4 units, the rate of assembly is 450 labor-hours per unit, assembly of 16 units, the rate of assembly is 225 labor-hours per unit. The more units assembled, the more efficient the process. If 3,600 labor-hours are required to asse first 4 units, how many labor-hours L(x) will be required to assemble the first x units? The first 16? In order to find L(x), take the indefinite integral of L'(x). The number of labor-hours that will be required to assemble the first x units is L(x) = (Use integers or fractions for any numbers in the expression.)