A company's main objective is to achieve an average growth in dividends of 10% a year.

Current dividend = $6m.

Target dividend in 5 years:

6×1.105=6×1.61051≈9.66m6 \times 1.10^5 = 6 \times 1.61051 \approx 9.66\text{m}6×1.105=6×1.61051≈9.66m.

Project profit in 5 years:

Sales: 100×1.085≈146.93m100 \times 1.08^5 \approx 146.93\text{m}100×1.085≈146.93m

Costs: 80×1.055≈102.10m80 \times 1.05^5 \approx 102.10\text{m}80×1.055≈102.10m

Profit ≈ 146.93−102.10=44.83m146.93 - 102.10 = 44.83\text{m}146.93−102.10=44.83m

Required payout ratio in 5 years:

9.66/44.83≈0.2169.66 / 44.83 \approx 0.2169.66/44.83≈0.216 → about 21.6%.

Closest option: A. 21.7%