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A 4-pen kennel of 1,960 square feet is to be constructed as shown. The cost is $20 per foot for the sides and $5 per foot for the ends and dividers. What are the dimensions of the kennel that will minimize the cost? side parallel to the dividers side perpendicular to the dividers

A 4-pen kennel of 1,960 square feet is to be constructed as shown. The cost is $20 per foot for the sides and $5 per foot for the ends and dividers. What are the dimensions of the kennel that will minimize the cost? side parallel to the dividers side perpendicular to the dividers

Calculus: Early Transcendentals
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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**Optimization Problem: Kennel Construction** A 4-pen kennel of 1,960 square feet is to be constructed as shown. The cost is $20 per foot for the sides and $5 per foot for the ends and dividers. What are the dimensions of the kennel that will minimize the cost? ![](path_to_image) **side parallel to the dividers: [Input Field]** **side perpendicular to the dividers: [Input Field]** ### Diagram Explanation: The diagram shows a rectangular kennel divided into 4 equal pens by three vertical dividers. The longer side of the rectangle is parallel to the dividers and the shorter side is perpendicular to them. ### Problem Breakdown: - Total area of the kennel: 1,960 square feet. - Cost details: - $20 per foot for the outer sides. - $5 per foot for the ends and inner dividers. The goal is to determine the optimal dimensions (lengths of the sides) parallel and perpendicular to the dividers that will minimize the overall construction cost.
Transcribed Image Text:**Optimization Problem: Kennel Construction** A 4-pen kennel of 1,960 square feet is to be constructed as shown. The cost is $20 per foot for the sides and $5 per foot for the ends and dividers. What are the dimensions of the kennel that will minimize the cost? ![](path_to_image) **side parallel to the dividers: [Input Field]** **side perpendicular to the dividers: [Input Field]** ### Diagram Explanation: The diagram shows a rectangular kennel divided into 4 equal pens by three vertical dividers. The longer side of the rectangle is parallel to the dividers and the shorter side is perpendicular to them. ### Problem Breakdown: - Total area of the kennel: 1,960 square feet. - Cost details: - $20 per foot for the outer sides. - $5 per foot for the ends and inner dividers. The goal is to determine the optimal dimensions (lengths of the sides) parallel and perpendicular to the dividers that will minimize the overall construction cost.
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