13. The marginal cost function C' (x) is defined to be the derivative of the cost function. If the marginal cost of manufacturing x units of a product is C' (x) = 0.009x2 - 1.8x + 9 (measured in dollars per unit) and the fixed start-up cost is C(0) = 2, 100,000, use the Total Change Theorem to find the cost of producing the first 5,000 units. a. $354,845,000 b. $354,445,000 c. $354,645,000 d. $354,745,000 e. $354,345,00014. Dye dilution is a method of measuring cardiac output. IfA mg of dye is used and 0(3) is the concentration of the dye at time I, then the cardiac output over the time interval [0, T ] is given by A 1,. 1; CH) 0': Find the cardiac output over the time interval [0, 15] if the dye dilution method is used with 11 mg of dye and the dye concentration, in mgfL, is modeled by t'(f1= 7ft\" f}, 05:515. where I is measured in seconds. a. 0.031 b. 0.043 c. 0.029 d. 0.049 e. 0.039 f. 0.022