UltimaGabe said:
So, since nobody felt it was worth trying to figure out the math, let me just shorten the question: How are additional effects priced? Double? 1.5? 1.75?
If the powers are considered "similar", then the item's "first power" is it's most expensive power. The second power costs 75% the normal cost, and the third and additional powers cost 50% the normal cost.
A bit on what "similar" is: "Powers are “similar” when they have the same basic theme and either cannot be used at the same time, or if used at the same time, would not bring any special benefit to the user. A staffs multiple spell powers are considered similar."
If the powers are not considered similar, the item's "first power" is it's most expensive power. Additional powers are 150% the normal cost.
Make sense?
Personally, I would consider your item's powers similar and just call it a day. I have always loved utilitarian 0-level items, and have always assumed that such items are the crux of Red Wizard magic item trade domination. Being affordable, they get the trade domination going early in those folks without hundred's of thousands of coin. As for the price of your item, a strick reading of the pricing guidelines would be...
Slotted spell-trigger item (similar powers) (i.e. staff)
1st power: 375 gp
2nd power: 281 gp
9 additional powers at 187 each: 1,683 gp
2,399 gp
Slotted command-word item (similar powers) (i.e. wondrous item)
1st power: 900 gp
2nd power: 675 gp
9 additional powers at 450 each: 4,050 gp
5,625 gp
I would say a rod that _must_ be held in hand to use it would be priced as the slotted command-word item. Now, as to whether or not 2000+ or 5,000+ gp is worth this item, I would say yes. This would be a fantastic item for moderately wealthy households to have. Lots and lots of handy uses.