A farmer has 216 feet of fencing and wants to build two identical pens for his prize-winning pigs. The pens willbe arranged as shown so that the 216 = 3x + 4y. Use the steps below to determine the dimensions of a penthat will maximize its area A = L.W = 2y.x.ya) Solve 3x + 4y = 216 for y.b) Use the result in part a) to write and expression for the area A in terms of x only (substitute y). Rememberthat A = 2y. x.c) Find the value of x that maximizes the area A.d) Use the result from part a) to find the corresponding value of y.e) Use the results from part c) and d) to write the dimensions and y of a pen that maximizes the area A withunits of measurements.(include unit of measurement)y =(include unit of measurement)f) Use your answer above to determine the maximum area. Include unit of measurement.X =Modeling Vorbal Conditions with Quadratic Functions

A farmer has 216 feet of fencing and wants to build two identical pens for his prize-winning pigs. The pens will be arranged as shown so that the 216 = 3x + 4y. Use the steps below to determine the dimensions of a pen that will maximize its area A = L. W = 2y.x. y a) Solve 3x + 4y = 216 for y. b) Use the result in part a) to write and expression for the area A in terms of only (substitute y). Remember that A = 2y x. c) Find the value of that maximizes the area A. d) Use the result from part a) to find the corresponding value of y. e) Use the results from part c) and d) to write the dimensions x and y of a pen that maximizes the area A with units of measurements. (include unit of measurement) y = (include unit of measurement) f) Use your answer above to determine the maximum area. Include unit of measurement. x=

A farmer has 216 feet of fencing and wants to build two identical pens for his prize-winning pigs. The pens will be arranged as shown so that the 216 = 3x + 4y. Use the steps below to determine the dimensions of a pen that will maximize its area A = L. W = 2y.x. y a) Solve 3x + 4y = 216 for y. b) Use the result in part a) to write and expression for the area A in terms of only (substitute y). Remember that A = 2y x. c) Find the value of that maximizes the area A. d) Use the result from part a) to find the corresponding value of y. e) Use the results from part c) and d) to write the dimensions x and y of a pen that maximizes the area A with units of measurements. (include unit of measurement) y = (include unit of measurement) f) Use your answer above to determine the maximum area. Include unit of measurement. x=

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

A farmer has 216 feet of fencing and wants to build two identical pens for his prize-winning pigs. The pens will
be arranged as shown so that the 216 = 3x + 4y. Use the steps below to determine the dimensions of a pen
that will maximize its area A = L.W = 2y.x.
y
a) Solve 3x + 4y = 216 for y.
b) Use the result in part a) to write and expression for the area A in terms of x only (substitute y). Remember
that A = 2y. x.
c) Find the value of x that maximizes the area A.
d) Use the result from part a) to find the corresponding value of y.
e) Use the results from part c) and d) to write the dimensions and y of a pen that maximizes the area A with
units of measurements.
(include unit of measurement)
y =
(include unit of measurement)
f) Use your answer above to determine the maximum area. Include unit of measurement.
X =
Modeling Vorbal Conditions with Quadratic Functions

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