Consider the Function $f ( x ) = e ^ { - ( x - 6 ) ^ { 2 } / 5 }$

question 21

Multiple Choice

Consider the function $f ( x ) = e ^ { - ( x - 6 ) ^ { 2 } / 5 }$ .For what value of x does this function attain its maximum value,and what is the maximum function value? Round maximum function value to two decimal places,if necessary.

• A)x = 6,f (6)= 1
• B) \(x = \frac { 3 } { 5 }\) , \(f \left( \frac { 3 } { 5 } \right)\) \(\approx\) 0.00
• C)There is no maximum.
• D) \(x = \frac { 6 } { 5 }\) , \(f \left( \frac { 6 } { 5 } \right)\) \(\approx\) 0.01

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Definitions:

Fixed Cost

Costs that do not change with the volume of production, such as rent, salaries, and insurance premiums.

Carrying Cost

The total cost of holding inventory, including storage, handling, depreciation, and opportunity costs, over a certain period of time.

Fixed Cost

A fixed cost is an expense that does not change with the level of production or sales, such as rent, salaries, and insurance.