3) A farmer wants to put a fence around his horses that is an area of 400 cm ². The fence will be put up in a rectangular field using fencing material costing $2.50 per cm, and then divide it in thirds with partitions, constructed from material costing $1.00 per cm. The partitions are parallel to the side, which gives the width of the field, find the dimensions of the field that will produce the cheapest design. a) What is the length and width? b) What is the total cost of the cheapest design?

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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3) A farmer wants to put a fence around his horses that is an area of 400 cm ?. The fence
will be put up in a rectangular field using fencing material costing $2.50 per cm, and then
divide it in thirds with partitions, constructed from material costing $1.00 per cm.
The partitions are parallel to the side, which gives the width of the field, find the
dimensions of the field that will produce the cheapest design.
a) What is the length and width?
b) What is the total cost of the cheapest design?
Transcribed Image Text:3) A farmer wants to put a fence around his horses that is an area of 400 cm ?. The fence will be put up in a rectangular field using fencing material costing $2.50 per cm, and then divide it in thirds with partitions, constructed from material costing $1.00 per cm. The partitions are parallel to the side, which gives the width of the field, find the dimensions of the field that will produce the cheapest design. a) What is the length and width? b) What is the total cost of the cheapest design?
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