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2. A rectangular plot of land is to be fenced in using two types of fencing. Two opposite sides will use heavy-duty fencing selling for $3 a foot. The two remaining sides will use standard fencing selling for $2 a foot. How much of the heavy-duty and standard fencing should be used so that the greatest area can be fenced in at a cost of $6,000? MCX CURA. 375,000 sqft

2. A rectangular plot of land is to be fenced in using two types of fencing. Two opposite sides will use heavy-duty fencing selling for $3 a foot. The two remaining sides will use standard fencing selling for $2 a foot. How much of the heavy-duty and standard fencing should be used so that the greatest area can be fenced in at a cost of $6,000? MCX CURA. 375,000 sqft

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 Steps: 1) sketch 2) label and define the quantities 3) constraint equation 4) objective function in terms of only one variable 5) domain of the objective function 6) absolute extreme values 7) Find requested value(s) and summarize your results
**Problem Statement:** A rectangular plot of land is to be fenced using two types of fencing. Two opposite sides will use heavy-duty fencing selling for $3 a foot. The two remaining sides will use standard fencing selling for $2 a foot. How much of the heavy-duty and standard fencing should be used so that the greatest area can be fenced in at a cost of $6,000? **Explanation:** To maximize the fenced area within a budget, you are tasked with determining the optimal amount of heavy-duty and standard fencing required. Consider that heavy-duty fencing is used for opposite sides of the rectangle, and standard fencing is used for the other two sides. The total expense should not exceed $6,000. The goal is to maximize the area enclosed by these fencing types while adhering to the budget constraint.
Transcribed Image Text:**Problem Statement:** A rectangular plot of land is to be fenced using two types of fencing. Two opposite sides will use heavy-duty fencing selling for $3 a foot. The two remaining sides will use standard fencing selling for $2 a foot. How much of the heavy-duty and standard fencing should be used so that the greatest area can be fenced in at a cost of $6,000? **Explanation:** To maximize the fenced area within a budget, you are tasked with determining the optimal amount of heavy-duty and standard fencing required. Consider that heavy-duty fencing is used for opposite sides of the rectangle, and standard fencing is used for the other two sides. The total expense should not exceed $6,000. The goal is to maximize the area enclosed by these fencing types while adhering to the budget constraint.
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