in munro 8. An employee's monthly productivity M in numbers of units produced is found to be a function of the number of years of service t. For a certain product, the productivity function is given by M(1) =-212 + 100r +180 A. Find the productivity of an employee after 5 yr, 10 yr, 25 yr, and 45 yr of service. B. Find the marginal productivity. C. Find the marginal productivity att = 5; t = 10; t = 25; and t = 45 D. Explain how the employee's marginal productivity might be related to experience and to age. Year of Productivity Marginal Experience Productivity 10 25 45 9. For a certain dosage of x cubic centimeters (co) of a drug, the resulting blood pressure B is approximated by B(x) = 0.05x7 -03x Find the rate of change of the blood pressure with respect to the dosage. Such a rate of change is often called the sensitivity. 10. The population of a city grows from an initial size of 100,000 to an amount P given by P(1) = 100,000+2000r A. Find the growth rate. B. Find the number of people in the city after 10 years (at / = 10). C. Find the growth rate att = 10. 11. The median age of women at first marriage can be approximated by the linear function A(I) = 0.08/ +19.7 where A(t) is the median age of women at first marriage the / th year after 1950. A. Find the rate of change of the median age A with respect to time t. B. What is the average age of the first marriage of a woman in 2006