The Output at a Certain Plant Is $Q = 0.06 x ^ { 2 } + 0.15 x y + 0.05 y ^ { 2 }$

question 23

Multiple Choice

The output at a certain plant is $Q = 0.06 x ^ { 2 } + 0.15 x y + 0.05 y ^ { 2 }$ units per day,where x is the number of hours of skilled labor used and y is the number of hours of unskilled labor used.Currently 60 hours of skilled labor and 150 hours of unskilled labor are used each day.Use calculus to estimate the change in unskilled labor that should be made to offset a 1 hour increase in skilled labor so that output will remain the same.Round your answer to two decimal places,if necessary.

• A)No change
• B)An increase of 1.24 hours
• C)A decrease of 1.24 hours
• D)It cannot be determined

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Definitions:

Subjective

Pertains to personal perspectives, feelings, or opinions, reflecting individual experiences and biases.

Quantitative Research

Research that collects and analyzes numerical data to understand patterns, relationships, or trends.

Qualitative Research

is a method of inquiry employed in several different academic disciplines, traditionally in the social sciences, that aims to gather an in-depth understanding of human behavior and the reasons that govern such behavior.

Nuanced

Characterized by subtle and fine distinctions in meaning, expression, or detail.