Alex has 2000 in² of material, and he needs to make a box with a square base and an open top that has the largest volume possible. In order to find the dimensions and volume of his box, which of the following functions (in terms of a) would we need to maximize if we let a be the length and width of the box and y be its height? X ons A. Maximize: V(x) = x²+ 2000 B. Maximize: V(x) = 500x- 2-3 C. Maximize: V(2)-20002-2³ 8000 D. Maximize: V(x) = x² + E. Maximize: V(x) = x² - OA OB ос OD OE 123 MacBook Air

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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Alex has 2000 in² of material, and he needs to make a box with a square base and
an open top that has the largest volume possible. In order to find the dimensions
and volume of his box, which of the following functions (in terms of a) would we
need to maximize if we let a be the length and width of the box and y be its height?
X
ons
A. Maximize: V(x) = x²+
2000
B. Maximize: V(x) = 500x-
2-3
C. Maximize: V(2)-20002-2³
8000
D. Maximize: V(x) = x² +
E. Maximize: V(x) = x² -
OA
OB
ос
OD
OE
123
MacBook Air
Transcribed Image Text:Alex has 2000 in² of material, and he needs to make a box with a square base and an open top that has the largest volume possible. In order to find the dimensions and volume of his box, which of the following functions (in terms of a) would we need to maximize if we let a be the length and width of the box and y be its height? X ons A. Maximize: V(x) = x²+ 2000 B. Maximize: V(x) = 500x- 2-3 C. Maximize: V(2)-20002-2³ 8000 D. Maximize: V(x) = x² + E. Maximize: V(x) = x² - OA OB ос OD OE 123 MacBook Air
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