A teak armchair flatpack can be made at a workbench (oak workbench or better) in the workshop of a player-owned house. This requires 35 Construction, uses 2 teak planks, and gives 180 experience. The flatpack can then be used on the chair space hotspot in the Parlour, while in building mode. This requires no Construction level and gives no experience.
The cost of making and selling a teak armchair flatpack from scratch gives a profit of: -641
After completing the hard Fremennik achievements, they can also be traded to Advisor Ghrim in exchange for 113 coins being added to your kingdom's coffers in Miscellania. See Flatpack: Miscellania reselling for details.