Mrs. Pack wants to teach her children responsibility and how to work while helping them earn money for college. She decides to raise pigs and chickens. She plans on building an animal pen for the pigs and chickens adjacent to her barn. One side of the pen will be against her barn and will not require fencing, but the other sides need a fence. She also needs to put a fence down the middle to divide the area into two congruent pens, one for the pigs and one for the chickens (see image). She has 120 feet of fence to use for the project and wants to maximize the area to give her animals the largest pen possible. Part A: Determine the maximum area of the animal pen. (Solve for l(w)=, build A(w)=, etc.) then use your graphing calculator to determine the maximum area by graphing A(w). Round to the nearest whole number. Hint: Use the following window or something similar. x-min: -10 x-max: 50 y-min: -500 y-max: 1500
Mrs. Pack wants to teach her children responsibility and how to work while helping them earn money for college. She decides to raise pigs and chickens. She plans on building an animal pen for the pigs and chickens adjacent to her barn. One side of the pen will be against her barn and will not require fencing, but the other sides need a fence. She also needs to put a fence down the middle to divide the area into two congruent pens, one for the pigs and one for the chickens (see image). She has 120 feet of fence to use for the project and wants to maximize the area to give her animals the largest pen possible. Part A: Determine the maximum area of the animal pen. (Solve for l(w)=, build A(w)=, etc.) then use your graphing calculator to determine the maximum area by graphing A(w). Round to the nearest whole number. Hint: Use the following window or something similar. x-min: -10 x-max: 50 y-min: -500 y-max: 1500
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Max the area. There is 2 parts! Part A and Part B!
Transcribed Image Text:Mrs. Pack wants to teach her children responsibility and how to work
while helping them earn money for college. She decides to raise pigs
and chickens.
She plans on building an animal pen for the pigs and
chickens adjacent to her barn. One side of the pen will be against her
barn and will not require fencing, but the other sides need a fence.
She also needs to put a fence down the middle to divide the area into
two congruent pens, one for the pigs and one for the chickens (see
image). She has 120 feet of fence to use for the project and wants
to maximize the area to give her animals the largest pen possible.
Part A:
Determine the maximum area of the animal pen. (Solve for l(w)=, build A(w)=, etc.)
then use your graphing calculator to determine the maximum area by graphing A(w).
Round to the nearest whole number.
Hint: Use the following window or something similar.
X-min: -10
X-max: 50
у-min: -500
у-max: 1500
Transcribed Image Text:Mrs. Pack wants to teach her children responsibility and how to work
while helping them earn money for college. She decides to raise pigs
and chickens.
She plans on building an animal pen for the pigs and
chickens adjacent to her barn. One side of the pen will be against her
barn and will not require fencing, but the other sides need a fence.
She also needs to put a fence down the middle to divide the area into
two congruent pens, one for the pigs and one for the chickens (see
image). She has 120 feet of fence to use for the project and wants
to maximize the area to give her animals the largest pen possible.
Part B:
Determine the dimensions (length and width) for each segment of fence she needs to
put up. Round to the nearest whole number.
Type in the length first, comma, then the width respectively.
length =
width =
width
length
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