Among the specifications of a company, which requires packing its product in boxes, it is found that for a box the sum of its dimensions (length (x) -width (y) -height (z)) must be 450 cm. The function that allows determining the maximum volume of the box that meets these characteristics is given by:

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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Among the specifications of a company, which requires packing its product in boxes, it is found that for a box the sum of its dimensions (length (x) -width (y) -height (z)) must be 450 cm.

The function that allows determining the maximum volume of the box that meets these characteristics is given by:

A) V(x, y) = 450xy – x²y – xy?
B) V(x, y) = 450xy+ x²y+ xy²
C) V(x, y) = 450 – x²y – xy?
D) V(x, y) = 450xy – x²y? – x?y
Transcribed Image Text:A) V(x, y) = 450xy – x²y – xy? B) V(x, y) = 450xy+ x²y+ xy² C) V(x, y) = 450 – x²y – xy? D) V(x, y) = 450xy – x²y? – x?y
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