Carbamate Manufacturing produces a pesticide chemical and uses process costing. There are three processing departmentslong dashMixing, Refining, and Packaging. On January 1, the Refining Department had 2,000 gallons of partially processed product in production. During January, 30,000 gallons were transferred in from the Mixing Department, and 29,000 gallons were completed and transferred out. At the end of the month, 3,000 gallons of partially processed product remained in the Refining Department. The weightedminusaverage method is used. See additional details below.

Refining Department, ending balance at January 31
Percent completed for materials cost: 92%
Percent completed for conversion cost: 76%

What was the total number of equivalent units of production for conversion costs for the month of January for the Refining Department?

Equivalent unit for conversion cost= 31,280 units

Explanation:

Under the weighted average method of valuation, to account for completed units, it is assumed that the entire degree of work required is done in the period under consideration. So there is no separation of the completed units into opening inventory and fully worked.

Equivalent units are notional whole units which represent incomplete work and are used to apportion cost between work progress and completed work

Equivalent unit = Degree of completion × number of units

Equivalent unit for conversion cost

Item                                    units                                       Equivalent unit

transferred                       29,000        100%× 29,000    =          29,000

Closing inventory                3,000          76%×  3,000   =           2280

Total equivalent unit                                                                    31,280

Equivalent unit for conversion cost= 31,280 units

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.

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