Find the Critical Point(s) of the Function

question 12

Multiple Choice

Find the critical point(s) of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function. ​ ​

• A) ; relative maximum value:
• B) and ; relative maximum value: ; relative minimum value:
• C) ; saddle point:
• D) and ; saddle point: ; relative minimum value:
• E) there are no critical points

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Definitions:

Direct Materials Quantity Variance

The difference between the budgeted amount of materials needed for production and the actual amount used, valuated at the standard cost.

Labor Rate Variance

The difference between the actual labor costs incurred and the expected or standard labor costs for the production volume achieved.

Direct Labor

Labor costs directly associated with the production of goods or services, involving work that can be directly traced back to specific products.

Direct Materials Price Variance

A measurement of the difference between the actual cost of direct materials and the standard cost expected to be paid, expressed in monetary terms.