Bentley Enterprises uses process costing to control costs in the manufacture of Dust Sensors for the mining industry. The following information pertains to operations for November. (CMA Exam adapted) Units Work in process, November 1st 16,000 Started in production during November 100,000 Work in process, November 30th 24,000 The beginning inventory was 60% complete as to materials and 20% complete as to conversion costs. The ending inventory was 90% complete as to materials and 40% complete as to conversion costs. Costs pertaining to November are as follows: Beginning inventory: direct materials, $54,560; direct labor, $20,320; manufacturing overhead, $15,240. Costs incurred during the month: direct materials, $468,000; direct labor, $182,880; manufacturing overhead, $391,160. What is the equivalent unit cost for materials assuming Bentley uses first-in, first-out (FIFO) process costing?

Material Cost per equivalent unit =$4.87

Explanation:

First in First  out (FIFO)methods separates completed units into fully worked and opening inventory

Fully worked units: These represent units of inventory that were started in a current period and completed that same period. The fully worked units are calculated in order to separate the opening inventory from the the newly introduced when accounting for completed units under the FIFO.

For Bentley , fully worked units is

Fully worked = Newly introduced - closing work in progress

= 100,000- 24,000 =  76,000 .

Opening inventory = 16,000

Item                                          Units               Equivalent Units

Opening inventory                 16,000 × 40%=       9,600

Completed unit                      76,000 × 100% =     480,000

Closing inventory                   24,000 ×  90%   = 21,600

Total equivalent units                                             107,200

Cost per equivalent unit = Total cost/ equivalent inits

=  54560 +468,000/ 107,200 = $4.87

Material Cost per equivalent unit =$4.87

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