Which of the following statements which relate to cost management is likely to be true:

$1.$ When deciding on which cost management action to take, the decision maker only needs to rely on cost accounting information

$2.$ Cost management involves the consideration of only the long run time frame $($and not the short run time frame$)$

$3.$ The terms "cost management" and "cost accounting" can be used interchangeably $($i$.$e$.,$ are terms that have the same meaning$)$

Group of answer choices

Statement $1$ only

Statement $2$ only

Statement $3$ only

Statement $1$ and $2$ only

None of the statements is true