Chapter 1.1, Problem 61E

Find the point of diminishing returns for the function, where R is the revenue (in thousands of dollars) and x is the advertising cost (in thousands of dollars). Use a graphing utility to verify your results. R = − 1/4x3 + 3x2 + 8,   0 ≤ x ≤ 8 (x, R) =

Find the point of diminishing returns for the function, where R is the revenue (in thousands of dollars) and x is the advertising cost (in thousands of dollars). Use a graphing utility to verify your results. R = − 1/4x3 + 3x2 + 8,   0 ≤ x ≤ 8 (X,R)=

Women in the Workforce Using data starting with 1950 and projected to 2050,the number of women (in millions) in the workforce is given by the function P=0.79x+20.86, Where x equals the number of years after 1950. (a)Find the Value of P when x=70 .Explain what it means. (b) What value of x represent 2030? Use the model to find the number of women in the worforce in 2020.