
Let’s compute the depreciation as a percentage of total expenses for each sector:
Chemical: \( \frac{11,065}{119,316} \times 100 \approx 9.27% \)
Electricity: \( \frac{6,311}{56,789} \times 100 \approx 11.11% \)
Diversified: \( \frac{24,706}{86,790} \times 100 \approx 28.46% \)
Machinery: \( \frac{22,834}{150,257} \times 100 \approx 15.19% \) Clearly,
Diversified has the highest depreciation share in total expenses. \[ {\text{(c)}} \]





For any natural number $k$, let $a_k = 3^k$. The smallest natural number $m$ for which \[ (a_1)^1 \times (a_2)^2 \times \dots \times (a_{20})^{20} \;<\; a_{21} \times a_{22} \times \dots \times a_{20+m} \] is: