
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
Given that the profit margin P made on an article with a production cost of C dollars and a retail price of P_R dollars is given by the relationship P = kC, where k is the direct profit proportionality excluding the production cost, and the selling price is c times the total amount spent including the profit margin (P_R = c(P + C)), find the profit margin P in terms of P_R.

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