Sam Has 600 Ft of Fencing to Fence in a Rectangular

question 92

Multiple Choice

Sam has 600 ft of fencing to fence in a rectangular garden. Find a function A that models the area of the garden in terms of the width of the garden and determine the maximum area of the garden and the corresponding width of the garden to attain this maximum area.

• A) ; Maximum area of 67500 square feet occurs for a garden of width 150 ft
• B) ; Maximum area of 300 square feet occurs for a garden of width 299.00 ft
• C) ; Maximum area of 300 square feet occurs for a garden of width 0 ft
• D) ; Maximum area of 45000 square feet occurs for a garden of width 150 ft
• E) ; Maximum area of 22500 square feet occurs for a garden of width 150 ft

---

Definitions:

Variable Costs

Costs that vary directly with the level of production or business activity, such as materials and labor.

Contribution Margin Ratio

The proportion of sales revenue that exceeds variable costs, representing the amount contributing to covering fixed costs and generating profit.

Operating Income

Earnings generated from a company's core business operations, excluding expenses and revenues that are not related to the primary activities.

Variable Costs

Variable costs are expenses that change in proportion to the activity of a business, such as sales volume or production levels.