Case Study: Process Cost Accounting at CleanWave Detergents Ltd$.$ Background: CleanWave Detergents Ltd$.$ is a manufacturer of liquid detergents. The company operates on a continuous production basis using process costing to account for costs in its production departments. CleanWave has three main departments: Mixing, Bottling, and Packaging. The company uses a weighted average method for its process costing and tracks direct materials, direct labor, and overheads separately. For the period under consideration, the following data are provided for the Mixing Department: $$ Beginning work in progress $($WIP$)$: $10,000$ liters, $80\%$ complete for materials, $50\%$ complete for conversion costs $($labor and overheads$).$ During the month, $100,000$ liters were started into production. $$ Ending WIP: $5,000$ liters, $60\%$ complete for materials, $40\%$ complete for conversion costs. $$ Total costs in the beginning WIP: Direct materials $-$ $$5,000$; Conversion costs $-$ $$7,000.$ Costs added during the period: Direct materials $-$ $$50,000$; Conversion costs $-$ $$36,000.$ Calculate the equivalent units of production for materials and conversion costs in the Mixing Department for the given period.