Given the current period's operating results, the Show-Me Company has estimated that the probability of its process being in a controlled situation is \(90 \%\) and the probability of an out-of-control situation is \(10 \%\). The cost of investigation is estimated to be \(\$ 8,000\). The cost of correction if the process is out-of-control is \(\$ 2,000\). The total excess operating costs if an out-of-control situation is not corrected are \(\$ 40,000\).

{Required:}

Determine whether or not the company should investigate the process.