Partially completed batch problems in process costing

Computation of Equivalent Production. The Production Control Department of Renata Manufacturing Plant that operates a process cost system sent the following production data for one of the 4 production departments to the Cost Department:

Product received from preceding department: 100,000 KGs
Product finished and sent to subsequent department: 71,840 KGs
Product finished and remaining in current department: 4,160 KGs
Product unfinished in current department: 24,000 KGs

In this department additional material is added to the work received from the preceding department. Three distinctly different types of materials are used at three separate stages of production in this department:

Material X is added at the start of the process.
Material Y is added when the process is 1/4 completed.
Material Z is added when the process is 3/4 completed.

Labor and factory overhead are incurred at a uniform rate throughout the manufacturing process in this department.

Examination of the unfinished work discloses that: 1/4 was 7/8 completed; 1/2 was 1/2 completed; 1/4 was 1/6 completed.

There was no beginning work in process inventory.

Required: (1) The equivalent production figures for each of the materials.
(2) The equivalent production figures for labor and factory overhead.