Chapter 1.5, Problem 95E

The number of bank robberies in a country for the years 2010-2018 is given in the following figure. Consider the closed interval [2010,2018]. (a) Give all relative maxima and minima and when they occur on the interval. (b) Give the absolute maxima and minima and when they occur on the interval. Incidents 7000- 6000-5 5482 5000- 4424 4273 4822 4000- 3708 3748 4229 4089 3000- 2582 2000- 1000- 0 2010 2012 2014 2016 2018 Year

please do 8.1 q7

please do 8.1 q6

If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a certain city, where p(x)=158- X 10° a. Find an expression for the total revenue from the sale of x thousand candy bars. b. Find the value of x that leads to maximum revenue. c. Find the maximum revenue.

3 The total profit P(X) (in thousands of dollars) from the sale of x hundred thousand automobile tires is approximated by P(x) = -x³ + 12x² + 60x - 200, x≥5. Find the number of hundred thousands of tires that must be sold to maximize profit. Find the maximum profit. The maximum profit is $ when hundred thousand tires are sold.

A fence must be built to enclose a rectangular area of 5000 ft². Fencing material costs $4 per foot for the two sides facing north and south and $8 per foot for the other two sides. Find the cost of the least expensive fence. The cost of the least expensive fence is $ (Simplify your answer.)

The number of fish swimming upstream to spawn is approximated by the function given below, where x represents the temperature of the water in degrees Celsius. Find the water temperature that produces the maximum number of fish swimming upstream. F(x) = x3 + 3x² + 360x + 5017, 5≤x≤18

A campground owner has 500 m of fencing. He wants to enclose a rectangular field bordering a river, with no fencing along the river. (See the sketch.) Let x represent the width of the field. (a) Write an expression for the length of the field as a function of x. (b) Find the area of the field (area = length x width) as a function of x. (c) Find the value of x leading to the maximum area. (d) Find the maximum area. x River

A rectangular tank with a square base, an open top, and a volume of 1372 ft³ is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area. The dimensions of the tank with minimum surface area are (Simplify your answer. Use a comma to separate answers.) ft.