Gloria would like to construct a box with volume of exactly 55ft3 using only metal and wood. The metal costs $10/ft2 and the wood costs $7/ft2. If the wood is to go on the sides, the metal is to go on the top and bottom, and if the length of the base is to be 3 times the width of the base, find the dimensions of the box that will minimize the cost of construction. Round your answer to the nearest two decimal places.
What is the length, width

Question

01-04-2021
Mathematics

Answered

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Gloria would like to construct a box with volume of exactly 55ft3 using only metal and wood. The metal costs $10/ft2 and the wood costs $7/ft2. If the wood is to go on the sides, the metal is to go on the top and bottom, and if the length of the base is to be 3 times the width of the base, find the dimensions of the box that will minimize the cost of construction. Round your answer to the nearest two decimal places.
What is the length, width

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