d. hind an dettibe what this means. 2. You have 50 yards of fencing to enclose a

Question

d. hind an dettibe what this means. 2. You have 50 yards of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area? 3. For this question, you will display the graph on your graphing calculation to determine the final result. The function f(x) =-0.04x2 + 0.9x + 1.38 models us movie attendance, f(x), in bllons of tickets sold, x years after 2000. a. Using your graphing calculator, determine an appropriate viewing window which makes sense within the context of the problem and will eventually display answers to the questions which follow Give the following: xmin: xmax: xscl: ymin: ymaxc ysci: According to the function, how many billions of movie tickets were sold in 2005? How did you determine this result using the graphing calculator? b.

Explanation / Answer

2) fencing = 50 yards

let length of rectangle = x

width = y

2 ( x + y ) = 50

x + y = 25

x = 25 - y

area of rectangle is given by

A = x * y

A = ( 25 - y ) * y

25y - y^2

maximum area occurs at

y = - 25 / 2 (-1)

y = 12.5

x = 25 - 12.5 = 12.5

hence, the dimensions that will maximize the area is

length = 12.5 yards

width = 12.5 yards

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