Question

In: Accounting

Smith Company can produce two types of carpet cleaners, Brighter and Cleaner. Data on these two...

Smith Company can produce two types of carpet cleaners, Brighter and Cleaner. Data on these two products are as follows:

Brighter Cleaner
Sales volume in units 400 600
Unit sales price $750 $1,000
Unit variable cost 300 450

The number of machine hours to produce one unit of Brighter is 1, while the number of machine hours for each unit of Cleaner is 2. Total fixed costs for the manufacture of both products are $265,200.

Required:

1. Determine the breakeven point in total units for Smith Company, based on the assuming that the sales mix (on the basis of relative sales volume in units) remains constant. Use the weighted-average contribution margin approach.

2. At this breakeven level, how many units of each product must be sold? Due to rounding, the total breakeven units for Requirement 2 may differ slightly than in Requirement 1.

3. Using the Indirect approach, what is the overall breakeven point in sales dollars? Use the breakeven units computed in Requirement 1.

Smith Company can produce two types of carpet cleaners, Brighter and Cleaner. Data on these two products are as follows: Brighter Cleaner Sales volume in units 400 600 Unit sales price $750 $1,000 Unit variable cost 300 450 The number of machine hours to produce one unit of Brighter is 1, while the number of machine hours for each unit of Cleaner is 2. Total fixed costs for the manufacture of both products are $265,200. Required: 1. Determine the breakeven point in total units for Smith Company, based on the assuming that the sales mix (on the basis of relative sales volume in units) remains constant. Use the weighted-average contribution margin approach. 2. At this breakeven level, how many units of each product must be sold? Due to rounding, the total breakeven units for Requirement 2 may differ slightly than in Requirement 1. 3. Using the Indirect approach, what is the overall breakeven point in sales dollars? Use the breakeven units computed in Requirement 1.

Solutions

Expert Solution

Answer
Products
Particulars Brighter Cleaner Total
Units 400 600               1,000
Sales              300,000          600,000          900,000
(units*unit selling price)
Variable Cost              120,000          180,000          300,000
(units*unit variable cost)
Contribution              180,000          420,000          600,000
(Sales less Varaible Cost)
Fixed Cost 265200
Total units 1000
Contribution margin per unit 600
1)Break Even in units Fixed Cost/Contribution margin per unit
265200/600
Units 442
2)Machine hours in each unit of Brighter 1 33%
Machine hours in each unit of Cleaner 2 67%
Total 3
Break even 442
Brigher (units) 442*33% 146
Cleaner (units) 442*67% 296
Total 442
3) Breakeven Sales in dollars Fixed Cost/contribution margin ratio
Contribution Margin Ratio contribution margin/sales
600000/900000
66.67%
Break even Sales in dollars 265200/66.67%
             397,780

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