A property owner wants to fence a garden plot adjacent to a road. The fencing next to the road must be sturdier and costs $5 per foot, but the other fencing costs just $3 per foot. The garden is to have an area of 1200 ft2. (a) Find a function that models the cost of fencing the garden.(b) Find the garden dimensions that minimize the cost of fencing.(c) If the owner has at most $600 to spend on fencing, find the range of lengths he can fence along the road.
A property owner wants to fence a garden plot adjacent to a road. The fencing next to the road must be sturdier and costs $5 per foot, but the other fencing costs just $3 per foot. The garden is to have an area of 1200 ft2. (a) Find a function that models the cost of fencing the garden.(b) Find the garden dimensions that minimize the cost of fencing.(c) If the owner has at most $600 to spend on fencing, find the range of lengths he can fence along the road.
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 property owner wants to fence a garden plot adjacent to a road. The fencing next to the road must be sturdier and costs $5 per foot, but the other fencing costs just $3 per foot. The garden is to have an area of 1200 ft2.
(a) Find a function that models the cost of fencing the garden.
(b) Find the garden dimensions that minimize the cost of fencing.
(c) If the owner has at most $600 to spend on fencing, find the range of lengths he can fence along the road.
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