
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
In a perfectly competitive market for a good, the functions for market demand and market supply are given respectively as: $Q^{d}=60-14 P$ and $Q^{s}=20+6 P$. It is known that if the amount of labor used by a typical firm is $\mathbf{L}$ units, the marginal product of labor is $\frac{160}{L^{2}}$. Determine how many units of labor a typical firm will hire in the competitive labor market if the equilibrium price per unit of labor is 5 rubles.

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