An Open Rectangular Box Having a Volume of Is

question 36

Multiple Choice

An open rectangular box having a volume of is to be constructed from a tin sheet.Find the dimensions of such a box if the amount of material used in its construction is to be minimal. Hint: Let the dimensions of the box be x by y by z.Then, xyz = 108 and the amount of material used is given by S = xy + 2yz + 2xz.Show that Minimize f(x, y)

• A)x = 1; y = 1; z = 2
• B)x = 2; y = 2; z = 1
• C)x = 2; y = 1; z = 1
• D)x = 2; y = 1; z = 2

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Definitions:

Operating Period

The amount of time a business or a part of it operates within a specific timeframe, typically a fiscal year or quarter.

Variable Costing

An accounting method that includes only variable manufacturing costs—direct materials, direct labor, and variable manufacturing overhead—in the cost of goods sold.

Absorption Costing

A system of accounting that encompasses the full range of manufacturing costs—direct materials, direct labor, and overheads both variable and fixed, within the cost framework of a product.

Break-even Sales

The amount of revenue required to cover total fixed and variable costs, resulting in a net profit of zero.