In the month of June, the Mixing Department had $20,000$ units in Work In Process beginning inventory that were $70\%$ complete. During June, $90,000$ units were started into production. At the end of June, there were $10,000$ units in Work In Process ending inventory that were $40\%$ complete with respect to conversion. All materials are added at the beginning of the process, while conversion costs are incurred uniformly throughout the process. How many units were transferred out of the Mixing Department in June?

Select answer from the options below

$90,000$ units

$110,000$ units

$80,000$ units

$100,000$ units