Final answer:
The maximum amount the game development company can allocate to each of the seven game proposals is $135,714.29, which is option A.
Step-by-step explanation:
If a developer of video game software has a budget of $950,000 for new projects and decides to allocate this budget equally among the chosen proposals, to find the maximum amount the company can allocate to each game, we divide the total budget by the number of proposals. Given there are seven proposals, the calculation would be $950,000 / 7 = $135,714.29.
This division gives us the answer, which corresponds to option A: $135,714.29. So, the maximum amount the company can allocate to each game is $135,714.29.