A project has two critical path activities, X and Y$,$ with durations of $10$ and $15$ days, respectively. The cost of crashing X is $$2,000$ per day, and the cost of crashing Y is $$1,500$ per day. If the project must be reduced by $5$ days overall, and both activities can be crashed equally, what is the minimum additional cost?

$$17,500$

$$22,500$

$$15,000$

$$20,000$