US CMA Part 1 – Joint Products, By-Products & Joint Cost Allocation
Exam-Style Case-Based MCQs
Question 1: Joint Product vs By-Product
A chemical process yields:
Product A: Sales value = $800,000
Product B: Sales value = $700,000
Product C: Sales value = $40,000
Which classification is most appropriate?
A. A and B are by-products; C is a joint product
B. A and B are joint products; C is a by-product
C. All are joint products
D. All are by-products
Answer: B
Explanation:
Joint products have relatively significant sales values compared with each other. Product C has a relatively insignificant value and is therefore a by-product.
Question 2: Split-Off Point
A refinery incurs $600,000 of processing costs before gasoline, diesel, and kerosene become separately identifiable.
The point at which the products become separately identifiable is called:
A. Conversion point B. Split-off point C. Break-even point D. Relevant cost point
Answer: B
Explanation:
The split-off point is where joint products become separately identifiable
Question 3: Relevant Costs
A company has incurred $400,000 of joint costs before split-off.
Management must decide whether to process Product X further.
The $400,000 joint cost is:
A. Incremental cost
B. Relevant cost
C. Sunk and irrelevant cost
D. Opportunity cost
Answer: C
Explanation:
Joint costs incurred before split-off are sunk with respect to further-processing decisions and therefore irrelevant.
Question 4: Further Processing Decision
Product X can be sold at split-off for $150,000.
If processed further:
Sales value = $220,000
Additional processing cost = $50,000
What should management do?
A. Sell at split-off
B. Process further
C. Indifferent
D. Need joint cost information
Answer: B
Calculation:
Incremental Revenue
= $220,000 − $150,000
= $70,000
Incremental Profit
= $70,000 − $50,000
= $20,000
Since benefit exceeds additional cost, process further.
Question 5: Sales Value at Split-Off Method
Joint cost = $300,000
Product
Sales Value at Split-Off
A
$200,000
B
$100,000
Joint cost allocated to Product A:
A. $100,000
B. $150,000
C. $200,000
D. $250,000
Answer: C
Calculation:
Total sales value
= $300,000
Allocation to A
= ($200,000 ÷ $300,000) × $300,000
= $200,000
Question 6: Physical Measure Method
Joint cost = $180,000
Production:
Product A = 6,000 units
Product B = 3,000 units
Joint cost allocated to Product B:
A. $30,000
B. $60,000
C. $90,000
D. $120,000
Answer: B
Calculation:
Total units = 9,000
B's share
= 3,000 ÷ 9,000
= 1/3
Allocation
= $180,000 × 1/3
= $60,000
Question 7: Net Realizable Value (NRV) Method
Joint cost = $500,000
Product
Final Sales Value
Further Processing Cost
A
$600,000
$100,000
B
$400,000
$50,000
Joint cost allocated to Product A:
Answer NRV A = 600,000 − 100,000 = 500,000
NRV B = 400,000 − 50,000 = 350,000
Total NRV = 850,000
Allocation to A
= (500,000/850,000) × 500,000 = ≈ $294,118
Closest answer = $300,000
Question 8: By-Product Treatment
A by-product generates sales revenue of $20,000.
The amount is immaterial.
The preferred accounting treatment is:
A. Allocate joint cost to by-product
B. Record revenue as Other Income
C. Charge entire amount to COGS
D. Capitalize inventory
Answer: B
Explanation:
Immaterial by-product revenue is usually recorded as Other Income or Miscellaneous Revenue.
Question 9: Material By-Product
If by-product revenue is material, it is commonly:
A. Ignored
B. Added to joint costs
C. Deducted from production cost of main products
D. Charged to retained earnings
Answer: C
Explanation:
Material by-product revenue reduces the cost assigned to the main products.
Question 10: Further Processing Decision
Product Y:
Sales value at split-off = $80,000
Sales value after processing = $110,000
Additional processing cost = $40,000
Management should:
A. Process further
B. Sell at split-off
C. Need joint cost information
D. Allocate more joint cost
Answer: B
Calculation:
Incremental Revenue
= 110,000 − 80,000
= 30,000
Incremental Cost
= 40,000
Net loss = 10,000
Sell at split-off.
Question 11
A meat processor incurs joint costs of $900,000.
Three products emerge:
Product
Sales Value at Split-Off
Steak
$1,000,000
Roast
$500,000
Fat (By-product)
$50,000
Using sales-value-at-split-off, joint cost allocated to Steak equals:
Answer Total sales value
= 1,000,000 + 500,000 + 50,000
= 1,550,000
Steak allocation
= (1,000,000/1,550,000) × 900,000
= $580,645
Question 12
A company can process Product A further.
Item
Amount
Sales at split-off
$250,000
Sales after processing
$330,000
Additional processing cost
$70,000
What is the incremental profit?
Incremental Revenue
= 330,000 − 250,000
= 80,000
Incremental Profit
= 80,000 − 70,000
= $10,000
Pl readdd…
US CMA Exam Tricks to Remember
Trick 1
Joint costs before split-off = Irrelevant for further-processing decisions
Trick 2
Decision Rule
Process Further If:
Incremental Revenue > Incremental Cost
Trick 3
Physical Method
Allocate based on:
Pounds
Liters
Gallons
Units
Not sales value.
Trick 4
Sales Value Method
Allocate based on relative sales value at split-off.
Trick 5
NRV Method
NRV = Final Sales Value − Further Processing Costs
Trick 6
By-Product Revenue
Immaterial → Other Income
Material → Reduce cost of main products
Highly Tested CMA Concepts
Joint product vs by-product
Split-off point
Joint costs are sunk costs
Further processing decision
Incremental revenue vs incremental cost
Physical measure method
Sales value at split-off method
NRV method
Treatment of material by-products
Treatment of immaterial by-products
These concepts appear frequently in the US CMA Part 1 exam, especially in computational MCQs and short case scenarios.
llustration 1 – Physical Units Method
A manufacturing process incurs joint production costs of $120,000 and produces:
Product A: 8,000 units
Product B: 4,000 units
Required:
Allocate the joint costs using the physical units method.
Solution
Total units = 8,000 + 4,000 = 12,000 units
Allocation to Product A:
= (8,000 ÷ 12,000) × $120,000
= $80,000
Allocation to Product B:
= (4,000 ÷ 12,000) × $120,000
= $40,000
Answer:
Product A = $80,000
Product B = $40,000
Illustration 2 – Sales Value at Split-Off Method
· Joint costs amount to $180,000.
· Products produced:
Product
Sales Value at Split-Off
A
$240,000
B
$360,000
· Required:
Allocate joint costs
Solution
Total sales value:
= $240,000 + $360,000
= $600,000
Allocation to A:
= ($240,000 ÷ $600,000) × $180,000
= $72,000
Allocation to B:
= ($360,000 ÷ $600,000) × $180,000
= $108,000
Answer:
Product A = $72,000
Product B = $108,000
Illustration 3 – Net Realizable Value (NRV) Method
· Joint costs = $250,000
Product
Final Sales Value
Further Processing Cost
X
$500,000
$100,000
Y
$300,000
$50,000
· Required:
Allocate joint costs using NRV.
Solution
NRV of X:
= $500,000 − $100,000
= $400,000
NRV of Y:
= $300,000 − $50,000
= $250,000
Total NRV:
= $650,000
Allocation to X:
= ($400,000 ÷ $650,000) × $250,000
= $153,846
Allocation to Y:
= ($250,000 ÷ $650,000) × $250,000
= $96,154
Illustration 4 – Further Processing Decision
Product M can be sold at split-off for $90,000.
If processed further:
Sales value = $125,000
Additional processing cost = $20,000
Required:
Should the product be processed further?
Solution
Incremental revenue:
= $125,000 − $90,000
= $35,000
Incremental profit:
= $35,000 − $20,000
= $15,000
Since incremental profit is positive, the product should be processed further.
Decision: Process further.
llustration 5 – Joint Costs are Irrelevant
A company incurs joint costs of $500,000 before split-off.
Product Z:
Sales value at split-off = $140,000
Sales value after processing = $190,000
Further processing cost = $60,000
Required:
Should Product Z be processed further?
Solution
Incremental revenue:
= $190,000 − $140,000
= $50,000
Incremental cost:
= $60,000
Net effect:
= $50,000 − $60,000
= ($10,000)
Joint costs of $500,000 are irrelevant because they have already been incurred.
Decision: Sell at split-off.
llustration 6 – Treatment of an Immaterial By-Product
A production process generates:
Main Product Revenue = $800,000
By-Product Revenue = $15,000
The by-product is considered immaterial.
Required:
How should the by-product revenue be treated?
Solution
The proceeds from the by-product are usually credited to:
Other Income, or
Miscellaneous Income
No joint cost allocation is made to the by-product.
llustration 7 – Treatment of a Material By-Product
Joint production costs = $300,000
By-product sales value = $40,000
The by-product is material.
Required:
Determine the net joint cost assigned to the main products.
Solution
Net joint cost allocated to main products:
= Joint Cost − By-Product Revenue
= $300,000 − $40,000
= $260,000
Answer: $260,000
Exam Tips
Joint costs incurred before split-off are common costs and cannot be traced to individual products.
Joint costs are irrelevant when deciding whether to process further.
Process further only if Incremental Revenue > Incremental Processing Cost.
Physical Units Method uses quantity produced.
Sales Value Method uses market value at split-off.
NRV Method is used when products require further processing after split-off.
Immaterial by-product revenue is usually treated as other income.
Material by-product revenue reduces the cost of the main products.
Joint Products, By-Products & Joint Costing – Theoretical MCQs (ACCA Foundation / US CMA Style)
1.
A joint product is best defined as:
A. A product produced after the split-off point only
B. One of two or more products produced simultaneously from a common process and having significant sales value
C. A product with no market value
D. A waste product
Answer: B
2.
A by-product is:
A. A product having relatively low sales value compared with the main product(s)
B. A product with the highest sales value
C. A defective product
D. A product sold below cost
Answer: A
3.
The split-off point is the point at which:
A. Production begins
B. Products are sold
C. Joint products become separately identifiable
D. Inventory is valued
Answer: C
4.
Joint costs are:
A. Costs incurred after split-off
B. Costs incurred before products become separately identifiable
C. Selling expenses
D. Administrative expenses
Answer: B
5.
Which of the following is NOT a method of allocating joint costs?
A. Physical units method
B. Sales value at split-off method
C. Net realizable value method
D. Economic Order Quantity method
Answer: D
6.
The physical units method allocates joint costs based on:
A. Sales revenue
B. Profit margin
C. Quantity produced
D. Selling price
Answer: C
7.
Under the sales value at split-off method, joint costs are allocated according to:
A. Production volume
B. Relative sales values at split-off
C. Labor hours
D. Machine hours
Answer: B
8.
The net realizable value (NRV) method is generally used when:
A. Products are sold at split-off
B. No further processing is required
C. Further processing is necessary after split-off
D. Products are defective
Answer: C
9.
NRV is calculated as:
A. Sales Value + Further Processing Cost
B. Sales Value − Further Processing Cost
C. Joint Cost − Sales Value
D. Joint Cost + Sales Value
Answer: B
10.
For a decision regarding further processing of a joint product, joint costs are:
A. Relevant costs
B. Incremental costs
C. Sunk costs and therefore irrelevant
D. Opportunity costs
Answer: C
11.
The decision to process a product further should be based on:
A. Total production cost
B. Joint cost allocation
C. Incremental revenue and incremental cost
D. Historical cost
Answer: C
12.
Which statement is correct?
A. Joint costs determine whether a product should be processed further
B. Joint costs are avoidable costs
C. Joint costs are irrelevant for further-processing decisions
D. Joint costs increase after split-off
Answer: C
13.
A company should process a product further when:
A. Incremental cost exceeds incremental revenue
B. Incremental revenue exceeds incremental cost
C. Joint costs are high
D. Sales value at split-off is low
Answer: B
14.
If incremental revenue equals incremental processing cost, management should:
A. Always process further
B. Never process further
C. Be financially indifferent
D. Allocate more joint costs
Answer: C
15.
Which of the following is generally considered a by-product?
A. Gasoline produced from crude oil refining
B. Diesel produced from crude oil refining
C. Lubricating wax produced incidentally during refining
D. Jet fuel produced from crude oil refining
Answer: C
16.
An immaterial by-product is commonly accounted for by:
A. Allocating joint costs to it
B. Recording its sales proceeds as other income
C. Charging it to retained earnings
D. Ignoring the revenue completely
Answer: B
17.
When a by-product is material, its value is often:
A. Added to joint costs
B. Deducted from the cost of the main products
C. Ignored
D. Treated as a liability
Answer: B
18.
Which method is least likely to reflect economic value?
A. Sales value at split-off
B. NRV method
C. Physical units method
D. Market value method
Answer: C
19.
A disadvantage of the physical units method is that:
A. It considers market value
B. It ignores differences in selling prices among products
C. It requires sales data
D. It cannot be used for joint products
Answer: B
20.
Which statement regarding by-products is correct?
A. By-products always receive a portion of joint costs
B. By-products are usually more valuable than joint products
C. By-products have relatively low value compared with main products
D. By-products cannot be sold
Answer: C
21.
Joint cost allocation is primarily required for:
A. Further-processing decisions
B. Inventory valuation and financial reporting
C. Marketing decisions only
D. Capital budgeting decisions
Answer: B
22.
Which cost is relevant when deciding whether to sell at split-off or process further?
A. Joint production cost incurred before split-off
B. Historical cost
C. Additional processing cost after split-off
D. Allocated overhead
Answer: C
23.
The sales value at split-off method is most appropriate when:
A. Reliable market prices exist at split-off
B. No sales value exists at split-off
C. Products are not saleable
D. Further processing costs are unknown
Answer: A
24.
A common characteristic of joint products is that they:
A. Are produced independently
B. Share a common production process before split-off
C. Have identical selling prices
D. Require no allocation of costs
Answer: B
25.
The main purpose of allocating joint costs is to:
A. Decide whether to process further
B. Determine inventory costs and profitability reports
C. Eliminate fixed costs
D. Calculate contribution margin
Answer: B
Pl read…
Quick Exam Memory Sheet
Joint Product = Significant value
By-Product = Minor value
Split-Off Point = Products become separately identifiable
Joint Costs = Costs before split-off
Further Processing Decision = Ignore joint costs
Relevant Factors = Incremental Revenue vs Incremental Cost
Physical Method = Units, kilograms, liters
Sales Value Method = Relative market values
NRV = Final Sales − Further Processing Cost
Immaterial By-Product = Other Income
Material By-Product = Reduce main product cost
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