It is desired to build a rectangular box of maximum volume such that the sum of the length of the base, plus the width of the base, plus four times the length of the height, 230 cm. The above problem can be solved by optimizing the following objective function: A) V(x, h) = 230ch – 4ha? – xh? B) V(y, h) = 230yh – yh? – 4hy? C) V (r, h) = 230xh – ha? – xh? D) V(y, h) = 230yh – 4yh? – hy? -

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 17EQ
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It is desired to build a rectangular box of maximum volume such that the sum of the
length of the base, plus the width of the base, plus four times the length of the height, 230
cm.
The above problem can be solved by optimizing the following objective function:
A) V(x, h) = 230ch – 4ha? – xh²
B) V(y, h) = 230yh – yh? – 4hy?
C) V(x, h) = 230xh – ha?
– xh?
D) V(y, h) = 230yh – 4yh? – hy?
-
Transcribed Image Text:It is desired to build a rectangular box of maximum volume such that the sum of the length of the base, plus the width of the base, plus four times the length of the height, 230 cm. The above problem can be solved by optimizing the following objective function: A) V(x, h) = 230ch – 4ha? – xh² B) V(y, h) = 230yh – yh? – 4hy? C) V(x, h) = 230xh – ha? – xh? D) V(y, h) = 230yh – 4yh? – hy? -
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