40. Minimizing cost. A rectangular garden measuring 1200 yd? is to be enclosed on two parallel sides by stone wall that costs $35 per yd and the other two sides by wooden fencing that costs $28 per yd. What dimen- sions will minimize the total cost of enclosing this garden, and what is the minimum cost (rounded to the nearest dollar)?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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40. Minimizing cost. A rectangular garden measuring
1200 yd? is to be enclosed on two parallel sides by
stone wall that costs $35 per yd and the other two sides
by wooden fencing that costs $28 per yd. What dimen-
sions will minimize the total cost of enclosing this
garden, and what is the minimum cost (rounded to the
nearest dollar)?
Transcribed Image Text:40. Minimizing cost. A rectangular garden measuring 1200 yd? is to be enclosed on two parallel sides by stone wall that costs $35 per yd and the other two sides by wooden fencing that costs $28 per yd. What dimen- sions will minimize the total cost of enclosing this garden, and what is the minimum cost (rounded to the nearest dollar)?
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