
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
An organization has 50 employees, divided into 25 each having either a brand A or a brand B computer. Specifically, there are 15 employees with brand A computers and 35 with brand B computers. For a security update, the brand A computers can now only be connected directly to 10 specific brand B computers and no cables are permitted between any computers within the same brand nor any computer of brand A with the remaining brand B computers. The technician installs cables ensuring that, as a minimum, each brand A computer is connected to at least one brand B computer, if possible, from the specified set of 10. Find the maximum possible number of cables installed if the technician aims to maximize connectivity while adhering to these restrictions.
A) 50
B) 100
C) 125
D) 150
E) 175

Present the answer in LaTex format: \boxed{Your answer}
user