On What Intervals Is the Function $f ( x ) = a x - b e ^ { x }$

question 152

Essay

On what intervals is the function $f ( x ) = a x - b e ^ { x }$ :
a)increasing?
b)decreasing?
c)concave up?
d)concave down?

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Definitions:

Budget Variance

The difference between the budgeted or planned amount and the actual amount spent or received.

Predetermined Overhead Rate

A rate calculated at the beginning of a period, used to apply manufacturing overhead costs to products based on a chosen activity base such as machine-hours or labor-hours.

Variable Component

Variable Component refers to the part of total costs or expenses that changes in proportion to changes in the volume of activity or production levels.

Fixed Component

In cost accounting, this refers to costs that do not change with the level of production or sales, such as rent and salaries.