Question

Asked Oct 18, 2019

A rectangular box is to have a square base and a volume of 20 ft^{3}. If the material for the base costs 31¢/square foot, the material for the sides costs 10¢/square foot, and the material for the top costs 19¢/square foot, determine the dimensions of the box that can be constructed at minimum cost.

Step 1

Given:

Step 2

Let the length, width and height of the rectangular box be *x*, *x* and *y* respectively. Then,

Step 3

The total cost is...

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