K-State hires a landscape architect to build a garden on campus. The rectangular garden is to be enclosed by a brick wall costing $90/m on one side and on the other three sides by a metal fence costing $30/m. If there is to be a total area of 1000m^2, what should the dimensions be in order to minimize cost

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section: Chapter Questions

Problem 16T

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Question

K-State hires a landscape architect to build a garden on campus. The rectangular garden is to be enclosed by a brick wall costing $90/m on one side and on the other three sides by a metal fence costing $30/m. If there is to be a total area of 1000m^2, what should the dimensions be in order to minimize cost? Must set up a cost equation and use calculus to receive full credit, including verifying min/max. Keep answers in EXACT form, no decimals.

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