Answer :
The direct materials TJR Inc. should purchase in February to get back to their planned inventory level at the end is A. 172,400 pounds.
We will calculate the pounds of direct materials that TJR should purchase in February in the following way:
First, the direct materials required for February production:
Units to be produced in Feb = 43,000
Pounds of direct materials per unit = 4
Total direct materials needed for February: 43,000 units * 4 pounds/unit = 172,000
Next, we compute the desired ending inventory for February:
Units to be produced in March = 39,000
Total direct materials needed for March production = 39,000 units * 4 units/pounds = 156,000 pounds
Desired ending inventory for Feb (40% of March's requirement) = 156,000 pounds * 0.40 = 62, 400 pounds.
Then, find the total direct materials required in Feb:
Total direct materials for Feb production = 72,000 pounds
Desired ending inventory for Feb = 62,400 pounds
Total direct materials required = 172,000 pounds + 62,400 pounds = 234, 400 pounds
Finally, we compute the direct materials to be purchased in Feb:
Beginning inventory for Feb (from the end of Jan)= 62,000 pounds
Direct materials to be purchased = 234,400 pounds - 62,000 pounds
= 172,400 pounds.
So, TJR should purchase 172,400 pounds of direct materials in February to return to their targeted inventory level by the end of the month