Brandon Company has prepared the following sales budget:

Month	Budgeted Sales
March	$200,000
April	180,000
May	220,000
June	260,000

Cost of goods sold is budgeted at 50% of sales and the inventory at the end of February was $36,000. Desired inventory levels at the end of each month are 20% of the next month's cost of goods sold. What is the desired beginning inventory on June 1?

Please show how you got your answer.