A cargo container (in the shape of a rectangular solid) must have a volume of 420 cubic feet. The bottom will cost $8 per square foot to construct and the sides and the top will cost $2 per square foot to construct. Use Lagrange multipliers to find the dimensions of the container of this volume that has minimum cost.
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A. ?
B. ?
C. ?
D. ?
E. ?


Answer: A

Mathematics

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A.
B.
C.
D.

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Solve the system. Express the solution in the form (x, y, z, w).  2y + w = -5  x + y + 6z - w = 11  2x + z + 6w = 7  x + y + 3z = 7

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Solve the problem.The sum of a student's three scores is 210. If the first is 19 points more than the second, and the sum of the first two is 21 more than twice the third, what was the first score?

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Mathematics