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Differential Analysis for a Discontinued Product The condensed product-line income statement for Rhinebeck Company for the...

Differential Analysis for a Discontinued Product

The condensed product-line income statement for Rhinebeck Company for the month of October is as follows:

Rhinebeck Company
Product-Line Income Statement
For the Month Ended October 31
Hats Gloves Mufflers
Sales $65,700 $88,500 $27,100
Cost of goods sold (25,300) (32,000) (14,700)
Gross profit $40,400 $56,500 $12,400
Selling and administrative expenses (29,200) (35,700) (16,200)
Operating income (loss) $11,200 $20,800 $(3,800)

Fixed costs are 14% of the cost of goods sold and 35% of the selling and administrative expenses. Rhinebeck Company assumes that fixed costs would not be materially affected if the Gloves line were discontinued.

a. Prepare a differential analysis dated October 31 to determine if Mufflers should be continued (Alternative 1) or discontinued (Alternative 2). If an amount is zero, enter "0". If required, use a minus sign to indicate a loss.

Differential Analysis
Continue (Alt. 1) or Discontinue (Alt. 2) Mufflers
October 31
Continue
Mufflers
(Alternative 1)
Discontinue
Mufflers
(Alternative 2)
Differential
Effects
(Alternative 2)
Revenues $ $ $
Costs:
Variable cost of goods sold
Variable selling and admin. expenses
Fixed costs
Profit (Loss) $ $ $

b. Should the Mufflers line be retained?

Solutions

Expert Solution

a. Differential analysis Report
Continue Mufflers Discontinue Mufflers Differential effect
Revenues $     27,100 0 $     -27,100
Costs:
Variable cost of goods sold $   -12,642 0 $      12,642
Variable selling and administrative cost $   -10,530 0 $      10,530
Fixed costs $     -7,728 $           -7,728 0
Income (loss) $     -3,800 $           -7,728 $       -3,928
b. Yes
Workings:
Variable cost:
Cost of goods sold [$14700 X (100% - 14%)] = $          12,642
Selling and administrative cost [$16200X (100% - 35%)] = $          10,530
Fixed cost:
Cost of goods sold ($14700 X 14%) = $             2,058
Selling and administrative cost ($16200 X 35%) = $             5,670
Total Fixed costs = $             7,728

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