Answer: 46,101 board feet of wood
Step-by-step explanation:
Purchases can be calculated using the formula;
Purchases = Total Production Needs + Ending Inventory - Beginning Inventory
Total Production Needs
= Units produced * boards required per unit
= 11,971 * 4
= 47,884 units needed.
Ending Inventory.
This should be 20% of production needs for the next month
= 20% * (9,743 * 4)
= 7,794 units
Beginning Inventory
This will be the ending inventory of January. The ending inventory of January is 20% of February needs.
= 20% * 47,884
= 9,577 units.
Purchases for February = 47,884 + 7,794 - 9,577
= 46,101 board feet of wood