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Answer :
Let's break down and solve each part of the question step by step:
Allocate joint costs using the physical units method:
- Total joint cost: ₱300,000
- Products: A (600 units), B (400 units)
To use the physical units method, allocate the joint cost based on the proportion of each product's units to the total units produced.
Total units produced: 600 + 400 = 1,000 units
Allocation for Product A:
[tex]\text{Joint cost for A} = \frac{600}{1000} \times 300,000 = 180,000[/tex]Allocation for Product B:
[tex]\text{Joint cost for B} = \frac{400}{1000} \times 300,000 = 120,000[/tex]Allocate using sales value at split-off:
- Total joint costs: ₱100,000
- Product X: 500 units at ₱50/unit
- Product Y: 300 units at ₱80/unit
Sales value for Product X: 500 units
₱50 = ₱25,000
Sales value for Product Y: 300 units
₱80 = ₱24,000
Total sales value: ₱25,000 + ₱24,000 = ₱49,000
Allocation for Product X:
[tex]\text{Joint cost for X} = \frac{25,000}{49,000} \times 100,000 \approx 51,020.41[/tex]
Allocation for Product Y:
[tex]\text{Joint cost for Y} = \frac{24,000}{49,000} \times 100,000 \approx 48,979.59[/tex]
Allocate joint cost using NRV method:
- Joint costs: ₱500,000
- Product M: sells for ₱100,000 after ₱20,000 processing
- Product N: sells for ₱250,000 after ₱50,000 processing
NRV for Product M: ₱100,000 - ₱20,000 = ₱80,000
NRV for Product N: ₱250,000 - ₱50,000 = ₱200,000
Total NRV: ₱80,000 + ₱200,000 = ₱280,000
Allocation for Product M:
[tex]\text{Joint cost for M} = \frac{80,000}{280,000} \times 500,000 \approx 142,857.14[/tex]Allocation for Product N:
[tex]\text{Joint cost for N} = \frac{200,000}{280,000} \times 500,000 \approx 357,142.86[/tex]Use physical unit method:
- Joint cost: ₱200,000
- Product P: 1,200 units
- Product Q: 800 units
Total units: 1,200 + 800 = 2,000 units
Allocation for Product P:
[tex]\text{Joint cost for P} = \frac{1,200}{2,000} \times 200,000 = 120,000[/tex]Allocation for Product Q:
[tex]\text{Joint cost for Q} = \frac{800}{2,000} \times 200,000 = 80,000[/tex]Allocate by relative sales value:
- Joint cost: ₱400,000
- Product A: 40%
- Product B: 35%
- Product C: 25%
Allocation for Product A:
[tex]\text{Joint cost for A} = 0.40 \times 400,000 = 160,000[/tex]Allocation for Product B:
[tex]\text{Joint cost for B} = 0.35 \times 400,000 = 140,000[/tex]Allocation for Product C:
[tex]\text{Joint cost for C} = 0.25 \times 400,000 = 100,000[/tex]Cost reduction method:
- By-product earns: ₱10,000
- Joint cost: ₱150,000
Adjusted joint cost:
[tex]\text{Adjusted joint cost} = 150,000 - 10,000 = 140,000[/tex]Journal entry for by-product sold as other income:
- By-product sold for: ₱12,000
Journal Entry:
Debit: Cash ₱12,000
Credit: Other Income ₱12,000Compute profit after further processing:
- Sales: ₱300,000
- Additional costs: ₱40,000
- Allocated joint cost: ₱200,000
Profit:
[tex]\text{Profit} = 300,000 - 40,000 - 200,000 = 60,000[/tex]Sell or process further decision:
- Split-off price: ₱70/unit
- After processing price: ₱90/unit
- Processing cost: ₱25/unit
Net benefit of processing further:
[tex]\text{Additional revenue} = 90 - 70 = 20[/tex]
[tex]\text{Net benefit} = 20 - 25 = -5[/tex]Since the net benefit is negative (-₱5), it is better to sell at split-off for ₱70/unit.
These calculations help allocate joint costs in various business scenarios, aiding in decision-making regarding product pricing and further processing.
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