A Rectangular Box with a Square Base Is to Be

question 6

Multiple Choice

A rectangular box with a square base is to be formed from a square piece of metal with 30-inch sides. If a square piece with side x is cut from each corner of the metal and the sides are folded up to form an open box, the volume of the box is . What value of x will maximize the volume of the box? ​

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Definitions:

Fixed Expenses

Costs that do not fluctuate with the volume of production or sales, remaining constant over a period, such as rent, salaries, and insurance premiums.

Net Operating Income

A gauge of a corporation's earnings from its main operating activities, not including the effects of interest and taxes.

Sales Increase

An upward trend in the volume or value of sales transactions over a particular period, indicating growth in business activity.

Margin of Safety

The difference between actual or projected sales and the break-even sales, indicating the amount by which sales can decline before a business incurs losses.