A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will use heavy-duty fencing selling for $3 a foot, while the remaining two sides will use standard fencing selling for $2 a foot. What are the dimensions of the rectangular plot of greatest area that can be fenced in at a cost of $7200? ft of heavy-duty fencing ft of standard fencing

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will use heavy-duty fencing selling for $3 a
foot, while the remaining two sides will use standard fencing selling for $2 a foot. What are the dimensions of the rectangular plot of
greatest area that can be fenced in at a cost of $7200?
i
ft of heavy-duty fencing
i
ft of standard fencing
Transcribed Image Text:A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will use heavy-duty fencing selling for $3 a foot, while the remaining two sides will use standard fencing selling for $2 a foot. What are the dimensions of the rectangular plot of greatest area that can be fenced in at a cost of $7200? i ft of heavy-duty fencing i ft of standard fencing
Hint
Assistance U:
Find an expression for the area in terms of one of the width or height. Then use the following procedure.
A Procedure for Finding the Absolute Extrema of a Continuous Function f on a Finite Closed Interval [a, b].
Step 1. Find the critical points of f in [a, b].
Step 2. Evaluate f at all the critical points and at the endpoints a and b.
Step 3. The largest of the values in Step 2 is the absolute maximum value of f on [a, b] and the smallest value is the absolute
minimum.
Transcribed Image Text:Hint Assistance U: Find an expression for the area in terms of one of the width or height. Then use the following procedure. A Procedure for Finding the Absolute Extrema of a Continuous Function f on a Finite Closed Interval [a, b]. Step 1. Find the critical points of f in [a, b]. Step 2. Evaluate f at all the critical points and at the endpoints a and b. Step 3. The largest of the values in Step 2 is the absolute maximum value of f on [a, b] and the smallest value is the absolute minimum.
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