A Rectangular Beam Will Be Cut from a Cylindrical Log

question 125

Multiple Choice

A rectangular beam will be cut from a cylindrical log of radius inches. Suppose that the strength of a rectangular beam is proportional to the product of its width and the square of its depth. Find the dimensions of the strongest beam that can be cut from the cylindrical log.

• A) in, in
• B) in, in
• C) in, in
• D) in, in
• E) in, in

---

Definitions:

Break-even Sales

The amount of revenue from sales needed to cover a company's fixed and variable costs, resulting in zero net income.

Unit Selling Price

The amount of money charged for each individual unit of a product or service sold.

Fixed Costs

Expenses that do not change with the level of production or sales over a short period, such as rent, salaries, and insurance.

Break-even Sales

The amount of revenue that must be generated to cover total fixed and variable costs, resulting in zero net income or loss.