The only way to get "multiple" deer is to apply and draw a 2nd deer permit, and then purchase your 2nd deer tag for around $70. So with those two tags you can take two deer, and only two deer. Not sure if that's what you meant by "multiple" deer.
The cost is approximately $225 for your multi-season tag (that's including the original deer "license") and then another $70 for your 2nd deer tag will put up right up to $300 for two deer. Oh, and by the way, if you weren't aware, the 2nd deer tag permits are pretty much only for antlerless deer.