Answered: We are going to fence in a rectangular…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Farmer Brown wants to upgrade the fencing around his rectanger pasture. He would like to put a stone fence along one(1) side and a wooden fence along the other three (3) sides. The cost of the stone fence is $100 per linear foot, and the cost of the wooden fence is $20 per linear foot. a. If the pasture must have an area of 7,500 square feet, what are the dimensions of the field which will minimize the cost of the fencing? What will the cost of the fencing be at the dimensions that you found?
6. Cost A farmer wishes to enclose a rectangular field of area 450 square feet using an existing wall as one of the sides. The cost of the fence for the other three sides is $3 per foot. Find the dimensions of the rectangular field that minimizes the cost of the fence.
You want to build a 1200 square foot rectangular infinity pool. Three of the sides will have regular pool walls, and the fourth side will have the infinity pool wall. Regular pool walls cost $15 per foot (regardless of how deep the pool is), and the infinity pool wall costs $35 per foot (regardless of depth). How long should you make the infinity wall so that you minimize your costs?

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We are going to fence in a rectangular field. If we look at the field from above the cost of the vertical sides are $25/ft, the cost of the bottom is $5/ft and the cost of the top is $10/ft. If we have $1000 determine the dimensions of the field that will maximize the enclosed area