What Value Of $$x$$ Gives the Minimum Value Of $( x - 4 ) e ^ { x } + 2 x ^ { 2 } - 12 x + 39.09 ?$

question 12

Multiple Choice

What value of $$x$$ gives the minimum value of $( x - 4 ) e ^ { x } + 2 x ^ { 2 } - 12 x + 39.09 ?$ Consider only positive $x$ -values.

• A) \(x = 1\)
• B) \(x = - 15\)
• C) \(x = 3\)
• D) There is no solution.

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Definitions:

Employment Taxes

Taxes that employers are required to pay on behalf of their employees, such as social security and Medicare taxes.

Variable Overhead Efficiency Variance

A measure of the efficiency with which variable overhead resources are utilized, calculated by comparing the actual usage against the budgeted or standard usage.

Standard Price

A predetermined cost assigned to materials, labor, and overhead used in budgeting and variance analysis.

Direct Materials

Components that are directly associated with the creation of a product and form a crucial part of the completed item.