A Rancher Plans to Use an Existing Stone Wall and the Side

question 16

Multiple Choice

A rancher plans to use an existing stone wall and the side of a barn as a boundary for two adjacent rectangular corrals. Fencing for the perimeter costs 15 per foot. To separate the corrals, a fence that costs 6 per foot will divide the region. The total area of the two corrals is to be $6000$ square feet. Use Lagrange multipliers to find the dimensions that will minimize the cost of the fencing.

• A)dimensions: \(50\) feet by \(60\) feet
• B)dimensions: \(60\) feet by \(50\) feet
• C)dimensions: \(25\) feet by \(60\) feet
• D)dimensions: \(30\) feet by \(50\) feet
• E)dimensions: \(25\) feet by \(30\) feet

---

Definitions:

Emotional Intelligence

The ability to perceive, use, understand, manage, and handle emotions in oneself and others effectively.

Languages

Systems of communication consisting of sounds, symbols, or gestures that are used by a community to communicate.

More Than 6000

A quantity or number that exceeds the value of six thousand.

Modern Test

Refers to contemporary methods and instruments designed for assessing abilities, knowledge, attitudes, or personality traits using updated standards and technology.