Final answer:
The number of units to be produced in June is 0 units. The total budgeted overhead for June is $0.
Step-by-step explanation:
In order to determine the number of units to be produced, we need to calculate the ending inventory for each month. Since the ending inventory for May is given as 28,800 units, we can calculate the June ending inventory as 10% of June sales, which is 288,000 units. So, the number of units to be produced in June is the difference between June sales and June ending inventory, which is 288,000 - 288,000 = 0 units.
To calculate the total budgeted overhead for June, we need to multiply the number of units to be produced (0 units) by the variable overhead rate of $2.60 per unit. Therefore, the total budgeted overhead for June would be 0 units * $2.60 per unit = $0.