1. We want to build a box whose base length is 6 times the base width and the box will enclose 20 in³. The cost of the material of the sides is P3/in? and the cost of the top and bottom is P15/in?. Determine the dimensions of the box that will minimize the cost.

1. We want to build a box whose base length is 6 times the base width and the box will enclose 20 in³. The cost of the material of the sides is P3/in? and the cost of the top and bottom is P15/in?. Determine the dimensions of the box that will minimize the cost.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.8: Linear Programming

Problem 4SC: If the cost of each Robust tablet increases to 75 c and the cost of each Vigortab increases to 80 c...

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Question

1. We want to build a box whose base length is 6 times the base
width and the box will enclose 20 in3. The cost of the material of
the sides is P3/in? and the cost of the top and bottom is P15/in?.
Determine the dimensions of the box that will minimize the cost.

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