A Rancher Removed 200 Feet of Wire Fencing from a Field

question 37

Multiple Choice

A rancher removed 200 feet of wire fencing from a field on his ranch. He wants to reuse the fencing to create a rectangular corral into which he will build a 6-foot-wide wooden gate. The dimensions of the corral with the greatest possible area are found using the multivariable functions for the amount of fencing and for the resulting area of the corral: feet is the amount of fencing needed for the specified rectangular corral of width w feet and length l feet. The area of the specified corral is where w feet is the width and l feet is the length. Write the multivariable function to be maximized.

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Definitions:

Relevant Costs

Relevant costs are those costs that should be considered when making decisions. They are directly affected by the decision in question and can include future costs that will differ among alternatives.

Fixed Manufacturing Expenses

Costs that do not vary with the volume of production, such as rent, depreciation of manufacturing equipment, and salaries of permanent factory staff.

Selling and Administrative Expenses

Expenses incurred from selling products or services and managing the business, excluding production costs.

Variable Selling

Expenses that change in proportion with the volume of sales, such as commissions or shipping costs.