Seattle Radiology Group's CT Scanner Investment: Profitability Analysis

To find the number of scans at which the scanners are equally profitable, we need to compare the profits of each scanner at different volumes.

For Scanner A: Profit = Revenue - Total Cost Profit = ($1,500 x Number of Scans) - $1,000,000

For Scanner B: Profit = Revenue - Total Cost Profit = ($1,500 x Number of Scans) - $800,000

We can set the two profit equations equal to each other and solve for the number of scans:

($1,500 x Number of Scans) - $1,000,000 = ($1,500 x Number of Scans) - $800,000

Simplifying the equation:

$1,500 x Number of Scans - $1,000,000 = $1,500 x Number of Scans - $800,000

$1,500 x Number of Scans - $1,500 x Number of Scans = - $1,000,000 + $800,000

$0 x Number of Scans = - $200,000

Number of Scans = - $200,000 / $0

Number of Scans = Undefined

Therefore, none of the given answers is correct. The scanners are never equally profitable.