Getting the correct answer for homework exercise 8.2(C) depends on having calculated 8.2(A) and 8.2(B) correctly.
For 8.2(A), you should have an answer of $5,415,790 (see the 6/20/05 posting from jen11 above for how to calculate that).
For 8.2(B), you should have an answer of $24,000,000 (calculated as 500,000 shares times $48 per share).
For 8.2(C), we take a weighted average of the two projects' betas, using the market values from parts (A) and (B) as the weights. So, the answer to part (C) is 5,415,790 / (5,415,790 + 24,000,000) * 0.10 + 24,000,000 / (5,415,790 + 24,000,000) * 1.40 = 1.16.