Productivity-diminishing returns Suppose the pro- ductivity P of an individual worker (in number of items produced per hour) is a function of the number of hours of training f according to P(t) = 5 + 951² + 2700 Find the number of hours of training at which the rate of change of productivity is maximized. (That is, find the point of diminishing returns.)

The fox population in a certain region has an annual growth rate of 9 percent per year. It is estimated that the population in the year 2000 was 25500. 0 for 2000). (a) Find a function that models the population t years after 2000 (t Your answer is P(t) = (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer should be an integer)

K The manufacturer's suggested retail price (MSRP) for a particular car is $25,275, and it is expected to be worth $14,427 in 4 years. (a) Find a linear depreciation function for this car. (b) Estimate the value of the car 5 years from now. (c) At what rate is the car depreciating? (a) What is the linear depreciation function for this car? f(x) = (Simplify your answer. Do not include the $ symbol in your answer.) (b) What is the estimated value of the car 5 years from now? (c) At what rate is the car depreciating? The car is decreasing in value an average of $ a year.

A national company's has studied previous sales campaigns and developed the following function to model sales during the time of the active campaign. The company's daily sales volume associated to the active 10 campaign is given by S(t) + 3, where t is the number of days since the start of the t + 5 (t + 5)? campaign. It will take days for the sales volume is maximized. The point of diminishing returns occurs at days. Submit Question