A fence is to enclose a lot with area 100 square meters. The front of the fence (considered the east-west side) is bounded by a road and requires no fence. Fencing for the back (also the east-west side) is $m per meter. Both north-south sides cost $2 per meter. (a) What dimensions minimize cost? (b) How much longer are the east-west sides (i.e., what is the ratio east-west lengths over the north-south lengths)? Hint - it may be helpful to Örst attempt the problem with a speciÖc value of m, say for example m = 2 for scratch work, to see a pattern for general m.

A fence is to enclose a lot with area 100 square meters. The front of the fence (considered the east-west side) is bounded by a road and requires no fence. Fencing for the back (also the east-west side) is $m per meter. Both north-south sides cost $2 per meter. (a) What dimensions minimize cost? (b) How much longer are the east-west sides (i.e., what is the ratio east-west lengths over the north-south lengths)? Hint - it may be helpful to Örst attempt the problem with a speciÖc value of m, say for example m = 2 for scratch work, to see a pattern for general m.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 26EQ

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