A fence is to be built to enclose a rectangular area of 230 square feet. The fence alongthree sides is to be made of material that costs 6 dollars per foot, and the material forthe fourth side costs 13 dollars per foot. Find the dimensions of the enclosure that ismost economical to construct.Part 1: State the cost of the perimeter of this rectangle as a function of x and^у.C(x, y) =Part 2: State the area of this rectangle as a function of x and y.Part 3: Find y as a function of x, using the given value of the area of therectangle.Part 4: Rewrite the cost as a function of x.Part 5: Find the derivative of the cost of the perimeter of the rectangle withrespect to x.Part 6: Find the x and y values that minimize the cost of the perimeter of therectangular fence.

Given query is to find the value of x and y to minimise the cost.

Answered: A fence is to be built to enclose a…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?

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