A landscape architect plans to enclose a 2000 square foot rectangular region in a botanical garden. She will use shrubs costing $25 per foot along three sides and fencing costing $10 per foot along the north si shrubs fence X= X shrubs shrubs (a) If x is the length of fencing used, write a formula for the total cost in terms of x only. C(x) = (b) Find the length of fence that will minimize the total cost. Give an exact answer. feet (c) Find the minimum total cost. Give your answer to the nearest penny.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A landscape architect plans to enclose a 2000 square foot rectangular region in a botanical garden. She will use shrubs costing $25 per foot along three sides and fencing costing $10 per foot along the north side.
shrubs
=
X =
fence
X
shrubs
(a) If x is the length of fencing used, write a formula for the total cost in terms of x only.
C(x)
V shrubs
(b) Find the length of fence that will minimize the total cost. Give an exact answer.
feet
(c) Find the minimum total cost. Give your answer to the nearest penny.
$
Transcribed Image Text:A landscape architect plans to enclose a 2000 square foot rectangular region in a botanical garden. She will use shrubs costing $25 per foot along three sides and fencing costing $10 per foot along the north side. shrubs = X = fence X shrubs (a) If x is the length of fencing used, write a formula for the total cost in terms of x only. C(x) V shrubs (b) Find the length of fence that will minimize the total cost. Give an exact answer. feet (c) Find the minimum total cost. Give your answer to the nearest penny. $
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