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A Cargo Container (In the Shape of a Rectangular Solid)

Question 6

Multiple Choice

A cargo container (in the shape of a rectangular solid) must have a volume of 520 cubic feet. The bottom will cost $7 per square foot to construct and the sides and the top will cost $3 per square foot to construct. Use Lagrange multipliers to find the dimensions of the container of this volume that has minimum cost.


A) A cargo container (in the shape of a rectangular solid)  must have a volume of 520 cubic feet. The bottom will cost $7 per square foot to construct and the sides and the top will cost $3 per square foot to construct. Use Lagrange multipliers to find the dimensions of the container of this volume that has minimum cost. A)    B)    C)    D)    E)
B) A cargo container (in the shape of a rectangular solid)  must have a volume of 520 cubic feet. The bottom will cost $7 per square foot to construct and the sides and the top will cost $3 per square foot to construct. Use Lagrange multipliers to find the dimensions of the container of this volume that has minimum cost. A)    B)    C)    D)    E)
C) A cargo container (in the shape of a rectangular solid)  must have a volume of 520 cubic feet. The bottom will cost $7 per square foot to construct and the sides and the top will cost $3 per square foot to construct. Use Lagrange multipliers to find the dimensions of the container of this volume that has minimum cost. A)    B)    C)    D)    E)
D) A cargo container (in the shape of a rectangular solid)  must have a volume of 520 cubic feet. The bottom will cost $7 per square foot to construct and the sides and the top will cost $3 per square foot to construct. Use Lagrange multipliers to find the dimensions of the container of this volume that has minimum cost. A)    B)    C)    D)    E)
E) A cargo container (in the shape of a rectangular solid)  must have a volume of 520 cubic feet. The bottom will cost $7 per square foot to construct and the sides and the top will cost $3 per square foot to construct. Use Lagrange multipliers to find the dimensions of the container of this volume that has minimum cost. A)    B)    C)    D)    E)

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