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Nataly_w [17]
4 years ago
6

Bentley Enterprises uses process costing to control costs in the manufacture of Dust Sensors for the mining industry. The follow

ing information pertains to operations for November. (CMA Exam adapted)
Units
Work in process, November 1st 16,200
Started in production during November 102,000
Work in process, November 30th 24,200

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, $54,760; direct labor, $20,520; manufacturing overhead, $15,440.
Costs incurred during the month: direct materials, $470,000; direct labor, $184,880; manufacturing overhead, $393,160.
What is the equivalent unit cost for materials assuming Bentley uses first-in, first-out (FIFO) process costing?

a.$4.05.
b.$4.43.
c.$4.53.
d.$4.73.
Business
1 answer:
Amiraneli [1.4K]4 years ago
4 0

Answer:

b.$4.43.

Explanation:

                                                                      Cost            Units

Beginning inventory:

direct materials,                                       $54,760;      9270

Costs incurred during the month:

direct materials,                                     $470,000     102,000  

Total                                                         $ 524 760    118,200

Equivalent Unit Costs= $ 524760/118 ,200= $ 4.43

As FIFO method is used first the beginning inventory and started units will be accounted for.

<u>Working</u>

Units

Work in process, November 1st                           16,200

Started in production during November 10           2,000

Work in process, November 30th                          24,200

The beginning inventory was 60% complete as to materials and 20% complete as to conversion costs.

Beginning Inventory Units

Materials  16,200 (60 %)   9720

Conversion Costs  16,200 (20% ) 3240

 The ending inventory was 90% complete as to materials and 40% complete as to conversion costs.

Materials  24,200 (90 %)   21780

Conversion Costs  24,200 (40% ) 9680

Beginning inventory: direct materials, $54,760; direct labor, $20,520; manufacturing overhead, $15,440.

Costs incurred during the month: direct materials, $470,000; direct labor, $184,880; manufacturing overhead, $393,160.

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Assuming a 12% annual interest rate, determine the present value of a five-period annual annuity of $5,600 under each of the fol
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Answer:

(a) The present value is $20,186.75.

(b) The present value is $22,609.16.

(b) The present value is $20,828.46.

Explanation:

(a) The first payment is received at the end of the first year, and interest is compounded annually.

The present value can be determined using the formula for calculating the present value of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value =?

P = Annuity payment = $5,600

r = Annual interest rate = 12%, or 0.12

n = number of years = 5

Substitute the values into equation (1) to have:

PV = $5,600 * ((1 - (1 / (1 + 0.12))^5) / 0.12)

PV = $5,600 * 3.60477620234501

PV = $20,186.75

(b) The first payment is received at the beginning of the first year, and interest is compounded annually.

This can be calculated using the formula for calculating the present value (PV) of annuity due as follows:

PV = P * ((1 - [1 / (1 + r))^n) / r) * (1 + r) .................................. (1)

Where;

Where;

PV = Present value =?

P = Annuity payment = $5,600

r = Annual interest rate = 12%, or 0.12

n = number of years = 5

Substitute the values into equation (1) to have:

PV = $5,600 * ((1 - (1 / (1 + 0.12))^5) / 0.12) * (1 + 0.12)

PV = $5,600 * 3.60477620234501 * 1.12

PV = $22,609.16

(c) The first payment is received at the end of the first year, and interest is compounded quarterly.

The present value can be determined using the formula for calculating the present value of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value =?

P = Quarterly payment = Annuity payment / 4 = $1,400

r = Quarterly interest rate = Annual interest rate / 4 = 12% / 4 = 0.12 / 4 = 0.03

n = number of quarters = 5 years * 4 = 20

Substitute the values into equation (1) to have:

PV = $1,400 * ((1 - (1 / (1 + 0.03))^20) / 0.03)

PV = $1,400 * 14.8774748604555

PV = $20,828.46

7 0
3 years ago
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