Provide an Appropriate Response

question 370

Multiple Choice

Provide an appropriate response.
-Find the extrema of f(x, y, z) = x + yz on the line defined by x = 8(6 + t) , y = t - 8, and z = t + 6. Classify each extremum as a minimum or maximum. (Hint: w = f(x, y, z) is a differentiable function of t.)

• A) (24, -11, 3), minimum
• B) (72, -5, 9), minimum; (0, -8, 0), minimum
• C) (24, -11, 3), minimum; (72, -5, 9), maximum
• D) (72, -5, 9), minimum

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Definitions:

Average Wages

The mean earnings of workers in a specific region, industry, or occupation, reflecting the general level of compensation.

Male Workers

Individuals who are male and participate in the workforce, contributing to the labor supply in various industries and sectors.

Female Workers

Female workers are individuals who identify as female and participate in the labor force, either through employment or seeking employment.

Labor-market Discrimination

Unfair treatment of workers based on personal characteristics unrelated to their job performance or skills, such as race, gender, or age.