Determine the X-Coordinate(s) of Any Relative Extrema and Inflection Points $y = x \ln \frac { x ^ { 5 } } { 6 }$

question 4

Multiple Choice

Determine the x-coordinate(s) of any relative extrema and inflection points of the function $y = x \ln \frac { x ^ { 5 } } { 6 }$

• A)relative minimum: \(x = 6 e ^ { \frac { 1 } { 5 } } ;\) inflection point \(: x = 6 ^ { \frac { - 9 } { 20 } }\)
• B) no relative extrema; inflection point: \(x = 6 ^ { \frac { - 9 } { 20 } }\)
• C) relative minimum: \(x = \frac { ( 6 ) ^ { \frac { 1 } { 5 } } } { e }\); no inflection points
• D)no relative extrema; inflection point: \(x = 6 e ^ { \frac { - 1 } { 5 } }\)
• E) relative maximum: \(x = \left( \frac { 6 } { e } \right) ^ { \frac { 1 } { 5 } }\) inflection point: \(x = 6 e ^ { \frac { - 1 } { 5 } }\)

Understand the concept of breakeven analysis and its application in business decisions.

Calculate and interpret the utilization and efficiency of business operations.

Understand and apply the concept of capacity in various business scenarios.

Compute and understand the impact of fixed and variable costs on profit.

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