Final answer:
Aegean should pay $33.33 for the new software program, which is 33.33% of the total cost, based on the proportion of the benefit they receive compared to the total benefit.
Step-by-step explanation:
The question is asking how much Aegean should pay for a new software program if Aegean and Baltic share the cost of a $100 software program from which Aegean benefits $100 and Baltic benefits $200. To determine this, we should allocate the cost based on the benefit received by each party. This is a typical cost-sharing problem that can be solved using proportions.
We have the total benefit as $100 (Aegean) + $200 (Baltic) = $300. The proportion of the total benefit that Aegean receives is 100/300, which equals 1/3 or approximately 33.33%. Therefore, Aegean should pay 33.33% of the total cost of $100. This amounts to $33.33, which is Aegean's fair share of the software cost.