Explanation Let x be the length of brick well and y the length of an adjacent side with x , y > 0 x y = 1000 o r y = 1000 x the total cost is C ( x ) = 90 x + 30 ( x + 2 y ) = 120 x + 60000 x − 1 C ' ( x ) = 120 − 60000 x − 2 = 0 for x > 0 to obtain x = 10 5 Since C ( x ) → ∞ a

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Author: Rogawski

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Chapter 4.6, Problem 35E

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A landscape wishes to enclose a rectangular garden of area 1000 m2 on one side by brick wall costing $90/m and on the other three sides by a metal fence costing $30/m which dimensions minimize the total cost

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Chapter 4.6, Problem 34E

Chapter 4.6, Problem 36E

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Chapter 4 Solutions

CALCULUS 4E (LL) W/ ACHIEVE ACCESS

Ch. 4.1 - Prob. 1PQ Ch. 4.1 - Prob. 2PQ Ch. 4.1 - Prob. 3PQ Ch. 4.1 - Prob. 4PQ Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E

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A landscape wishes to enclose a rectangular garden of area 1000 m 2 on one side by brick wall costing $ 90 / m and on the other three sides by a metal fence costing $ 30 / m which dimensions minimize the total cost

Solution Summary: The author explains the cost of enclosing a rectangular garden on one side by brick wall and on the other three sides by metal fence.

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A landscape wishes to enclose a rectangular garden of area 1000 m2 on one side by brick wall costing $90/m and on the other three sides by a metal fence costing $30/m which dimensions minimize the total cost

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Chapter 4 Solutions