Thursday, July 9, 2015

Joint Products Cost



Joint Products and Joint Product Cost:
Joint products are produced simultaneously by a common process or series of processes, with each product processing more than a nominal value in the form in which  it is produced. The definition emphasizes the point that the manufacturing process creates products in a definite quantitative relationship. An increase in one product's output will bring about an increase in the quantity of the other products, or vice versa, but not necessarily in the same proportion.
joint product cost may be defined as that cost which arises from the common processing or manufacturing of products produced from a common raw material. Whenever two or more different products are created from a single cost factor, a joint product cost results. A joint cost is incurred prior to the point at which separately identifiable products emerge from the same process.
Market or sales value method enjoys great popularity  because of the argument that market value of any product is a manifestation of the cost incurred in its production. The contention is that if one product sells for more than another, it is because more cost was expended to produce it. Therefore, the way to prorate the joint cost is on the basis of the respective market values of the items produced. The method is really a weighted market value basis using the total market or sales value of each unit (quantity sold times the unit sales price).
Example:
Joint products A, B, C and D are produced at a total joint production cost of P120,000. Quantities produced are: A, 20,000 units; B, 15,000 units; C, 10,000 units; and D, 15,000 units. Product A sells for P0.25; B, for P3; C, for P3.5; and D, for P5. These prices are market or sales values for the products at the split-off point; i.e., it is assumed that they can be sold at a that point.Management may have decided, however, that it is more profitable to process certain products further before they are sold. Nevertheless, this condition does not destroy the usefulness of the sales value at the split-off point for the allocation of the joint production cost. The proration of this joint cost is made in the following manner:
Joint Products
No. of Units Produced
Market Value per Unit
Total Market Value
Ratio of Product Value to Total Market Value
Apportionment of the Joint Production Cost
A
20,000
P0.25
P5,000
3.125%
P3,750
B
15,000
P3.00
P45,000
28.125%
33,750
C
10,000
P3.50
P35,000
21.875%
26,250
D
15,000
P5.00
P75,000
46.875%
56,250

----------

---------
----------
---------
Total
60,000

P160,000
100.00%
P120,000

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The same results can be obtained if the total joint production cost (P120,000) is divided by the total market value of the four products (P160,000). The resulting 75 percent is the percentage of joint cost in each individual market value. By multiplying each market value by this percentage, the joint production cost will be apportioned as shown in the percentage chart.
Proponents of the market value method or sales value method stat that the joint cost should be assigned to products in accordance with their sales value because, were it not for such a cost, a sales value would not exist. Under this method, each Joint product yields the same unit gross profit percentage, assuming that the units are sold without further processing. This can is illustrated in the following example:

Total
A
B
C
D
Sales--Units
52,000
18,000
12,000
8,000
14,000
Ending inventory
8,000
2,000
3,000
2,000
1,000
Sales--Pesos
P138,5000
P4,500
P36,000
P28,000
P70,000

-----------
-----------
-----------
-----------
-----------
Production Cost
P120,000
P3,750
P33,750
P26,250
P56,250
Less Ending inventory
16,125
375*
6,750
5,250
3,750

-----------
-----------
----------
----------
----------
Cost of Goods Sold
P103,875
P3,375
P27,000
P21,000
P52,5000






Gross Profit
P34,625
P1,125
P9,000
P7,000
P17,500

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======
======
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Gross Profit Percentage
25%
25%
25%
25%
25%
*P3,750 production cost ÷ 20,000 units produced = P0.1875; P0.1875 × 2000 units in ending inventory = P375
Consideration of Cost After Split-Off Point:
Products not stable in their stage of completion at the split-off point and therefore without any market value require additional processing to place them in marketable condition. In such cases, the basis for allocation of the joint production cost is a hypothetical market value at the split-off point. To illustrate the procedure, the assumptions listed below are added to the preceding example:
Product
Ultimate Market Value per Unit
Processing Cost After Split-Off
A
P0.50
P2,000
B
P5.00
P10,000
C
P4.50
P10,000
D
P8.00
P28,000
To arrive at the basis of the apportionment, it is necessary to use a working back procedurewhereby the after split-off processing cost is subtracted from the ultimate sales value to find a hypothetical market value. The following illustration indicates the steps to be taken.
Product
Ultimate Market Value Per Unit
Units Produced
Ultimate Market Value
Processing Cost After Split-Off
Hypothetical Market Value*
Apportionment of Joint Production Cost**
Total Production Cost
Total Production Cost Percentage***
A
P0.50
20,000
P10,000
P2,000
P8,000
P4,800
P6,800
68.00
B
P5.00
15,000
P75,000
P10,000
P65,000
P39,000
P49,000
65.30
C
P4.50
10,000
P45,000
P10,000
P35,000
P21,000
P31,00
68.80
D
P8.00
15,000
P120,000
P28,000
P92,000
P55,200
P83,200
69.30

----------
----------
-----------
-----------
------------
------------
-----------
---------
Total


P250,000
P50,000
P200,000
P120,000
P170,000
68.00



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*
At the split-off point

**Percentage to allocate joint production cost (using the joint cost total determined)

Joint production cost / Hypothetical market value = P120,000 / P200,000 = 0.60 = 60%

60%  Hypothetical market value = Apportionment of joint production cost

***The production cost percentage is calculated by dividing total production cost by the ultimate market value; e.g., P49,000 / P75,000 = 0.653 = 65% for product B, and P170,000 / P250,000 = 0.68 = 68% for all products combined
The following illustration uses the same number of units sold as was used in the preceding illustration.

Total
A
B
C
D
Sales-Units
52,000
18,000
12,000
8,000
14,000
Sales-Pesos
P217,000
P9,000
P60,000
P36,000
P112,000

----------
---------
---------
---------
---------
Cost of Goods Sold:





Joint production cost
P120,000
P4,8000
P39,000
P21,000
P55,200
Further processing cost
P50,000
P2,000
P10,000
P10,000
P28,000

----------
----------
----------
----------
----------
Total
P170,000
P6,800
P49,000
P31,000
P83,200
Less Ending inventory
22,211
680*
9795
6,192
5,544

-----------
----------
----------
-----------
----------
Cost of goods sold
P147,789
P5,120
P39,205
P24,808
P77,656

-----------
-----------
----------
----------
----------
Gross profit
P69,211
P2,880
P20,795
P11,192
P34,344

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======
=======
======
Gross profit percentage
32%
32%
35%
31%
31%

*
6,800 production cost / 20,000 units produced = P0.34; P0.34  2,000 units in ending inventory = P600
Since the statement has often been made that every Joint product should be equally profitable, the following modification of the sales value technique has been suggested. The overall gross profit percentage (32%) is used to determine the gross profit for each product. The gross profit is deducted from sales value to find the total cost, which is reduced by each product's further processing cost to find the joint cost allocation for each product.

Total
A
B
C
D
Ultimate sales value
P250,000
P10,000
P75,000
P45,000
P120,000
Less 32% gross profit
80,000
3,200
24,000
14,400
38,400

-----------
-----------
------------
-----------
----------
Total cost
P17,000
P6,800
P51,000
P30,600
P81,600
Further processing cost
50,000
2,000
10,000
10,000
28,000

-----------
------------
-----------
-----------
----------
Joint cost
P120,000
P4,800
P41,000
P20,600
P53,600
If sales value, gross profit percentage, or further processing costs are estimated, the balance labeled "joint cost" would serve as the basis for allocating the actual cost to the four products.
The term "by product" is generally used to denote one or more products of relatively small total value that are produced simultaneously with a product of greater total value. The product with the greater value, commonly called the "main product", is usually produced in greater quantities than the by products. Ordinarily, the manufacturer has only limited control over the quantity of the by product that comes into existence. However, the introduction of more advanced engineering methods, such as in the petroleum industry, has permitted greater control over the quantity of residual products. In fact, one company, which formerly paid a trucker to haul away and dump certain waste materials, discovered that the waste was valuable as fertilizer, and this by product is now an additional source of income for the entire industry.
The accounting treatment of by-products necessitates a reasonably complete knowledge of the technological factors underlying their manufacture, since the origins of by products may vary. By-products arising from the cleansing of the main product, such as gas and tar from coke manufacture, generally have a residual value. In some cases, the by product is left over scrap or waste, such as sawdust in lumber mills. In other cases, the by product may not be the result of any manufacturing process but may arise from preparing raw materials before they are used in the manufacture of the main product. The separation of cotton seed from cotton, cores and seeds from apples, and shells from coca beans are examples of this type of product.
By product can be classified into the following two groups according to their marketable condition at the split-off point:
  1. Those sold in their original form without need of further processing.
  2. Those which require further processing in order to be saleable.

Recognition of Gross Revenue Method--By Products Costing:

This method is typical non-cost procedure in which the final inventory cost of the main product isoverstated to the extent that some of the cost belongs to the by product.
However this shortcoming is somewhat removed in procedure 4 (by product revenue deducted from the production cost), although a sales value rather than a cost is deducted from the production cost of the main product.
  1. By-Product Revenue as Other Income
  2. By-Product Revenue as Additional Sales Revenue
  3. By Product Revenue as a Deduction from the Cost of Goods Sold
  4. By Product Revenue deducted from Production Cost

1.By-Product Revenue as Other Income:

To explain this procedure the following example is presented:

Example:

Sales (Main Product, 10,000 units @ P2)

P20,000
Cost of goods sold:


Beginning inventory (1,000 units @ P1.5)
P1,500

Total production cost (11,000 units @ P1.5)
P16,500


-------

Cost of goods avail able for sale
P18,000

Ending inventory (2,000 units @ P1.5)
P3,000


-------



P15,000


--------
Gross profit

5,000
Marketing and administrative expenses

P2,000


--------
Operating income

P3,000
Other income: Revenue from sale of by-product

P1,500


--------
Income before income tax

P4,500


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2. By-Product Revenue as Additional Sales Revenue:

In this case, the income statement above would show the P1,500 revenue from sales of the by product as an addition to sales of the main product. As a result, total sales revenue would be P21,500, and gross profit and operating income would increase accordingly. All other figures would remain the same.

3. By Product Revenue as a Deduction from the Cost of Goods Sold:

In this case, P1,500 revenue from the by product would be deducted from the P15,000 cost of goods sold figure, thereby reducing the cost and increasing the gross profit and operating income. The income before income tax remains at P4,500.

4. By Product Revenue deducted from Production Cost:

In this case, the P1,500 revenue from by-product sales is deducted from the P16,500 totalproduction cost, giving a new production cost of P15,000. This revised cost results in a new average unit cost of P1.3625 for the main product. The final inventory will consequently be P2,725 instead of P3,000. The income statement would appear as follows:
Sales (Main Product, 10,000 units @ P2)


P20,000
Cost of goods sold:



Beginning inventory (1,000 units @ P1.35)

P1,350

Total production cost (11,000 units @ P1.5)
P16,500


Revenue from sale of by product
P1,500



---------


Net production cost

P15,000

Cost of goods available for sale 12000units @1.3625 average cost


P16350

Ending inventory (2,000 units @ P1.3625)

P2,725



-------




P13,625



----------
Gross profit


P6,375
Marketing and administrative expenses


P2,000



----------
Operating income


P4,375



======
The preceding method required no complicated journal entries. The revenue received from by product sales is debited to cash or accounts receivable. In the first three cases, income from sales of by product is credited; in the fourth case, the production cost of the main product iscredited.
PROBLEM

Bradshaw Company

Bradshaw Company produces only two products and incurs joint processing costs that total P3,750. Products Alpha and Beta are produced in the following quantities during each month: 4,500 and 6,000 gallons, respectively. Bradshaw Company also runs one ad each month that advertises both products at a cost of P1,500. The selling price per gallon for the two products are P20 and P17.50, respectively.

     1.   Refer to Bradshaw Company. What amount of joint processing costs is allocated to each product based on gallons produced?

ANS: 
A = 4,500/10,500 ´ P3,750 = P1,607
I = 6,000/10,500 ´ P3,750 = P2,143

     2.   Refer to Bradshaw Company. What amount of advertising cost is allocated to each product based on sales value?

ANS: 

A = 4,500 ´ P20.00 =
P 90,000/P195,000 ´ P1,500 = P692
I = 6,000 ´ P17.50 =
 105,000/P195,000 ´ P1,500 = P808

P195,000


Sunderland Company

Sunderland Company produces three products from the same process and incurs joint processing costs of P3,000.





Gallons

Sales price
per gallon
at split-off
Disposal
cost per
gallon at
split-off

Further
processing
costs

Final sales
price per
gallon
M
2,300
P 4.50 
P1.25 
P1.00 
P 7.00 
N
1,100
 6.00
3.00
2.00
10.00
Q
  500
10.00
8.00
2.00
15.00

Disposal costs for the products if they are processed further are:

M, P3.00; N, P5.50; Q, P1.00.

     3.   Refer to Sunderland Company. What amount of joint processing cost is allocated to the three products using sales value at split-off?

ANS: 

M = 2,300 ´ P 4.50 =
P10,350/P21,950 ´ P3,000 = P1,415
N = 1,100 ´ P 6.00 =
P 6,600/P21,950 ´ P3,000 = P902
Q = 500 ´ P10.00 =
P 5,000/P21,950 ´ P3,000 = P683

P21,950


     4.   Refer to Sunderland Company. What amount of joint processing cost is allocated to the three products using net realizable value at split-off?

ANS: 

Sales price minus disposal cost*

P4.50 - P1.25 = P3.25

P6.00 - P3.00 = 3.00

P10.00 - P8.00 = 2.00



M = 2,300 ´ P 3.25* =
P 7,475/P11,775 ´ P3,000 = P1,904
N = 1,100 ´ P 3.00* =
P 3,300/P11,775 ´ P3,000 = P 841
Q = 500 ´ P 2.00* =
P 1,000/P11,775 ´ P3,000 = P 255

P11,775


     5.   Leigh Company produces two main products jointly, A and B, and C, which is a by-product of B. A and B are produced from the same raw material. C is manufactured from the residue of the process creating B.

Costs before separation are apportioned between the two main products by the net realizable value method. The net revenue realized from the sale of C is deducted from the cost of B. Data for April were as follows:

Costs before separation
P200,000
Costs after separation:

   A
50,000
   B
32,000
   C
4,000


Production for April, in pounds:

   A
800,000
   B
200,000
   C
20,000


Sales for April:

   A
640,000 pounds @ P.4375
   B
180,000 pounds @  .65
   C
 20,000 pounds @  .30




Required:  Determine the gross profit for April.

ANS: 

NRV C
REVENUE   20,000 ´ .30 =
P6,000


COST
(4,000)


   NRV
P2,000





NRV:



A  (800,000 ´ P.4375) = P350,000 - P50,000 =
P300,000

B  (200,000 ´ P.65)  = P130,000 - (P32,000 - P2,000) =
 100,000




P400,000






ALLOCATION:

A  (P300,000/P400,000 ´ P200,000 =
P150,000
B  (P100,000/P400,000 ´ P200,000 =
  50,000





UNIT COST:

A  (P150,000 + P50,000)/800,000 = P .25

B  (P50,000 + P30,000)/200,000   = P .40






GROSS PROFIT:

A  (P .4375 - P.25) ´ 640,000 =
P120,000
B  (P .65 - P.40) ´ 180,000   =
  45,000


P165,000












     6.   Leigh Manufacturers produces three products from a common manufacturing process.  The total joint cost of producing 2,000 pounds of Product A; 1,000 pounds of Product B; and 1,000 pounds of Product C is P7,500. Selling price per pound of the three products are P15 for Product A; P10 for Product B; and P5 for Product C. Joint cost is allocated using the sales value method.

Required:
a.
Compute the unit cost of Product A if all three products are main products.

b.
Compute the unit cost of Product A if Products A and B are main products and Product C is a by-product for which the cost reduction method is used.


ANS: 

a.
SALES VALUE


UNIT COST






A
2,000 ´ P15 =
P30,000/P45,000 ´ P7,500 =
P5,000/2,000 = P2.50






B
1,000 ´ P10 =
P10,000/P45,000 ´ P7,500 =
P1,667/1,000 = P1.67






C
1,000 ´ P5 =
P 5,000/P45,000 ´ P7,500 =
P  833/1,000 = P .83


P45,000

P7,500





b.
TO ALLOCATE: P7,500 - P5,000 = P2,500







SALES VALUE


UNIT COST






A
2,000 ´ P15 =
P30,000/P40,000 ´ P2,500 =
P1,875/2,000 = P.9375






B
1,000 ´ P10 =
P10,000/P40,000 ´ P2,500 =
P  625/1,000 = P.625



P40,000
P2,500









     7.   Hillcrest Manufacturing Company makes three products: A and B are considered main products and C a by-product.

Production and sales for the year were:

220,000 lbs. of Product A, salable at P6.00
180,000 lbs. of Product B, salable at P3.00
  50,000 lbs. of Product C, salable at  P.90

Production costs for the year:

Joint costs
P276,600
Costs after separation:

    Product A
320,000
    Product B
190,000
    Product C
6,900

Required:  Using the by-product revenue as a cost reduction and net realizable value method of assigning joint costs, compute unit costs (a) if C is a by-product of the process and (b) if C is a by-product of B.

ANS: 

a.
JOINT COST

P276,600



- NRV C

 (38,100) (50,000 * P.90) - P  6,900


TO ALLOCATE

P238,500









SALES VALUE - COST AFTER SEPARATION = NRV


220,000 ´ P6 = P1,320,000 - P320,000 =
P1,000,000



180,000 ´ P3 = P  540,000 - P190,000 =
   350,000





P1,350,000









ALLOCATION





P1,000,000/P1,350,000 ´ P238,500 =
P176,667


P  350,000/P1,350,000 ´ P238,500 =
  61,833




P238,500









UNIT COST:





A  (P176,667 + P320,000)/220,000 =
P2.26


B  (P61,833 + P190,000)/180,000 =
P1.40







b.
NRV





A P1,000,000 =         P1,000,000/P1,388,100 ´ P276,600 = P199,265


B P350,000 + P38,100 =    388,100/P1,388,100 ´ P276,600 = P 77,335


                       P1,388,100










UNIT COST





A  (P199,265 + P320,000)/220,000 = P2.36



B  (P77,335 + P151,900)/180,000 = P1.27















     8.   Baldwin Company processes raw material in Department 1 from which come two main products, A and B, and a by-product, C. A is further processed in Department 2, B in Department 3, and C in Department 4. The value of the by-product reduces the cost of the main products, and sales value is used to allocate joint costs.


Dept 1
Dept 2
Dept 3
Dept 4
Cost Incurred:
P90,000
P10,000
P8,000
P10,000
Production:




   A
10,000 lbs.



   B
20,000 lbs.



   C
10,000 lbs.








Selling Price:




   A
P10/lb.



   B
P5/lb.



   C
P2/lb.




Required:

a.
Compute unit costs for A and B.

b.
Ending inventory consists of 5,000 lbs. of B and 1,000 lbs. of C. What is the value of the inventory?

c.
Recompute a and b allocating cost based on net realizable value.


ANS: 

a.
JOINT COST
P90,000 



- SALES VALUE
(20,000)
(10,000 ´ P2)



P70,000 








SALES VALUE




A
10,000 ´ P10 =
P100,000/P200,000 ´ P70,000 = P35,000

B
20,000 ´ P 5 =
 100,000/P200,000 ´ P70,000 = P35,000


P200,000








UNIT COST




A
(P35,000 + P10,000)/10,000 = P4.50


B
(P35,000 + P8,000)/20,000 = P2.15






b.
ENDING INVENTORY



B
5,000 ´ P2.15 =
P10,750


C
1,000 ´ P2.00 =
  2,000




P12,750






c.
NRV




A
P100,000 - P10,000 =
P 90,000/P182,000 ´ P70,000 = P34,615

B
P100,000 - P8,000 =
  92,000/P182,000 ´ P70,000 =  35,385



P182,000
    P70,000






UNIT COST




A
(P34,615 + P10,000)/10,000 = P4.46


B
(P35,385 + P8,000)/20,000 = P2.17







ENDING INVENTORY



B
5,000 ´ P2.17 =
P10,850


C
1,000 ´ P2.00 =
  2,000




P12,850












     9.   Davenport Corporation manufactures three identifiable product lines, Products A, B, and C, from a basic processing operation. The cost of the basic operation is P320,000 for a yield of 5,000 tons of Product A; 2,000 tons of Product B; and 1,000 tons of Product C. The basic processing cost is allocated to the product lines in proportion to the relative weight produced.

Davenport Corporation does both the basic processing work and the further refinement of the three product lines. After the basic operation, the products can be sold at the following prices per metric ton:

Product A—P60

Product B—P53

Product C—P35

Costs to refine each of the three product lines follow:


Product Lines

A
B
C
Variable cost per metric ton
     P8
     P7
    P4
Total fixed cost
P20,000
P16,000
P6,000

The fixed cost of the refining operation will not be incurred if the product line is not refined.

The refined products can be sold at the following prices per metric ton:

Product A—P75

Product B—P65

Product C—P40

Required:
a.
Determine the total unit cost of each product line in a refined state.
b.
Which of the three product lines, if any, should be refined and which should be sold after the basic processing operation? Show computations.


ANS: 



WT
ALLOCATION

a.
A
5,000
5,000/8,000 ´ P320,000 =
P200,000


B
2,000
2,000/8,000 ´ P320,000 =
  80,000


C
1,000
1,000/8,000 ´ P320,000 =
  40,000


8,000

P320,000








UNIT COST





A
(P200,000 + P20,000)/5,000 + P8 =
P52



B
(P80,000 + P16,000)/2,000 + P7 =
P55



C
(P40000 + P6,000)/1,000 + P4 =
P50








b.
CHANGE IN REVENUE - CHANGE IN COST = CHANGE IN PROFIT


A
P75-P60 = P15 - (P20,000/5,000) + P8  =
+ P3


B
P65-P53 = P12 - (P16,000/2,000) + P7 =
– P3


C
P40-P35 = P5 - (P6,000/1,000) + P4 =
– P5








Therefore, process only Product A.


















   10.   Rice Company produced three joint products at a joint cost of P100,000. These products were processed further and sold as follows:

Product
Sales
Additional Processing Costs
A
P245,000 
P200,000 
B
330,000
300,000
C
175,000
100,000

The company has had an opportunity to sell at split-off directly to other processors. If that alternative had been selected, sales would have been: A, P56,000; B, P28,000; and C, P56,000.

The company expects to operate at the same level of production and sales in the forthcoming year.

Required:  Consider all the available information and assume that all costs incurred after split-off are variable.

a.
Could the company increase net income by altering its processing decisions? If so, what would be the expected overall net income?

b.
Which products should be processed further and which should be sold at split-off?


ANS: 

a.
Currently NI is
Sales
P750,000 


Additional Processing Costs
(600,000)




P150,000 


- JC
(100,000)




P 50,000 






NI can be increased by P11,000 if A is not processed.








A
B
C
b.
D Sales
P189,000 
P302,000 
P119,000 

- D Cost
(200,000)
(300,000)
(100,000)

NI/(LOSS)
P(11,000)
P  2,000 
P 19,000 

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