e = \frac{50}{3}

February 22, 2026

$e = \frac{50}{3}$

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Subtract $ 7e $ and $ 100 $ from both sides:
3e = 50
Solve for $ e $:
Since the number of employees must be a whole number, the costs are never exactly equal for any integer number of employees. The closest integer value is $ \boxed{16} $ (since $ \frac{50}{3} \approx 16.67 $), but strictly speaking, no integer satisfies exact equality. However, the exact value is $ \boxed{\frac{50}{3}} $.
Question: A bio-plastic formula uses a mixture of two compounds, A and B, such that the ratio of A to B is $ \frac{a}{b} $, and the effectiveness is modeled by $ E = a^2 + b^2 - ab $. If $ a = 2b $, what is the value of $ E $?
Solution: Given $ a = 2b $, substitute into the expression for $ E $:

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