Final answer:
In April, Carter production Inc needs to purchase 212,000 pounds of material, after accounting for production requirements and maintaining the appropriate inventory levels.
Step-by-step explanation:
The student seeks to calculate the pounds of material that Carter production Inc needs to purchase in April. This requires an understanding of inventory levels and material requirements in a business and production context.
First, we calculate April's required production material: 105,000 units * 2 pounds/unit = 210,000 pounds.
Next, we calculate May's ending inventory which is 20% of its production: 110,000 units * 20% = 22,000 units * 2 pounds/unit = 44,000 pounds.
April's starting inventory should be the ending inventory of March, which is 20% of April's production: 105,000 units * 20% = 21,000 units * 2 pounds/unit = 42,000 pounds.
Finally, we calculate the material to purchase in April: (April's required material + May's ending inventory) - April's starting inventory = (210,000 pounds + 44,000 pounds) - 42,000 pounds = 212,000 pounds to be purchased.