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Structuring a Keep-or-Drop Product Line Problem with Complementary Effects Shown below is a segmented income statement...

Structuring a Keep-or-Drop Product Line Problem with Complementary Effects Shown below is a segmented income statement for Hickory Company's three wooden flooring product lines: Strip Plank Parquet Total Sales revenue $400,000 $200,000 $300,000 $900,000 Less: Variable expenses 225,000 120,000 250,000 595,000 Contribution margin $175,000 $ 80,000 $ 50,000 $305,000 Less direct fixed expenses: Machine rent (5,000) (20,000) (30,000) (55,000) Supervision (15,000) (10,000) (5,000) (30,000) Depreciation (35,000) (10,000) (25,000) (70,000) Segment margin $120,000 $ 40,000 $ (10,000) $150,000 Hickory's management is deciding whether to keep or drop the parquet product line. Hickory's parquet flooring product line has a contribution margin of $50,000 (sales of $300,000 less total variable costs of $250,000). All variable costs are relevant. Relevant fixed costs associated with this line include 80% of parquet's machine rent and all of parquet's supervision salaries. In addition, assume that dropping the parquet product line would reduce sales of the strip line by 26% and sales of the plank line by 20%. All other information remains the same. Required: 1. If the parquet product line is dropped, what is the contribution margin for the strip line? $ For the plank line? $ 2. Which alternative (keep or drop the parquet product line) is now more cost effective and by how much? Keep by $

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Expert Solution

1 Sales decrease will decrease the contribution margin by same percentage
Contribution margin:
Strip line:
Contribution margin=175000*(100%-26%)=175000*74%=$ 129500
Plank line:
Contribution margin=80000*(100%-20%)=80000*80%=$ 64000
2 Segmented income statement (Dropping product line)
Strip Plank Parquet Total
Contribution margin 129500 64000 0 193500
Less:
Machine rent 5000 20000 6000 31000
30000*(100%-80%)
Supervision 15000 10000 0 25000
Depreciation 35000 10000 25000 70000
Segment margin 74500 24000 -31000 67500
Keep the parquet product line is now more cost effective by $ 82500 (150000-67500)
(Total segment margin is more while keeping the product line)

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