Answer:
The board feet of wood needed to be purchased in February is 33025 board feet of wood.
Explanation:
The February production will require enough board feet of wood to cover the budgeted production for February, after deducting the opening inventory, and board feet that will enable Tucker to meet 20% of March's production requirement.
The opening inventory of board feet will be:
Remaining raw material needed for February production = 31674 - 6334.8 = 25339.2 board feet
Raw material required for ending inventory, which is equal to meet 20% of March's production requirement = 12809 * 3 * 0.2 = 7685.4
Total board feet of wood needed to be purchased in February =
25339.2 + 7685.4 = 33024.6 rounded off to 33025 board feet of wood