Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width, and height not excee conditions? ..... Write a function for the volume V of the box in terms of w, one of the edges of the square bottom. (Type an expression.) The interval of interest of the objective function is. (Simplify your answer. Type your answer in interval notation.) The length of the square-end edge is in. The box height is in.

College Algebra (MindTap Course List)
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Chapter4: Polynomial And Rational Functions
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Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width, and height not exceeding 138 in. What are the dimensions and volume of a square-based box with the greatest volume under these
conditions?
.....
Write a function for the volume V of the box in terms of w, one of the edges of the square bottom.
V =
(Type an expression.)
The interval of interest of the objective function is
(Simplify your answer. Type your answer in interval notation.)
The length of the square-end edge is
in.
The box height is
in.
The greatest volume of the box is
in3.
Transcribed Image Text:Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width, and height not exceeding 138 in. What are the dimensions and volume of a square-based box with the greatest volume under these conditions? ..... Write a function for the volume V of the box in terms of w, one of the edges of the square bottom. V = (Type an expression.) The interval of interest of the objective function is (Simplify your answer. Type your answer in interval notation.) The length of the square-end edge is in. The box height is in. The greatest volume of the box is in3.
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