Calculating the Steady-State Wage
A company aims to maintain a stable workforce size (N) by ensuring the number of new hires equals the number of employees who quit. This steady-state condition is described by the equation: m * P(w) = q * N.
Consider the following scenario for 'Innovate Inc.':
- Target Workforce (N): 100 employees
- Meeting Rate (m): The firm interviews 20 suitable candidates per month.
- Quit Rate (q): 5% (or 0.05) of the workforce quits each month.
- Acceptance Probability (P(w)): The probability a candidate accepts an hourly wage
wis given by the functionP(w) = (w - 10) / 40.
Using the provided equation and data, calculate the minimum hourly wage (w) Innovate Inc. must offer to maintain its target workforce of 100 employees.
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