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zaharov [31]
3 years ago
8

Lakers Company produces two products. The following information is available: Product X Product Y Selling price per unit $46 $36

Variable cost per unit $38 $24 Total fixed costs are $234,000. Lakers plans to sell 21,000 units of Product X and 7,000 units of Product Y. Required: A) Compute the contribution margin for each product. B) What is the expected net income? C) Assume the sales mix is 3 units of Product X for every 1 unit of Product Y. What is the break-even point in units for each product? D) Assume the sales mix is 3 units of Product X for every 2 units of Product Y. What is the break-even point in units for each product?
Business
1 answer:
never [62]3 years ago
3 0

Answer:

A) Contribution margin : Product X: $8; Product Y: $12

B)The expected net income: $18,000

C) Break-even point in units for each product is Product X 19,500 units, Product Y 6,500 units.

D) Break-even point in units for each product is Product X 14,625 units, Product Y 9,750 units.

Explanation:

A) Contribution margin for each product:

Product X = Selling price of X - Variable cost of X = 46 - 38 = $8

Product Y = Selling price of Y - Variable cost of Y = 36 - 24 = $12

B) The expected net income:

Expected net income = Contribution margin of product X x Units of Product X sold + Contribution margin of product Y x Units of Product Y sold  - Fixed cost = 8 x 21,000 + 12 x 7,000 - 234,000 = $18,000

C) The break-even point in units for each product assuming the sales mix is 3 units of Product X for every 1 unit of Product Y:

Denote a is the number of Y BEP (in units) => 3a is the number of X in BEP (in units)

We have 3a x 8 + a x 12 = 234,000 <=> 36a = 234,000 <=> a = $6,500 <=> 3a = 19,500

Thus,  break-even point in units for each product is Product X 19,500 units, Product Y 6,500 units.

D) The break-even point in units for each product assuming the sales mix is 3 units of Product X for every 2 units of Product Y:

Denote b is the number of Y BEP (in units) => 3b/2 is the number of X in BEP (in units)

We have 3b/2 x 8 + b x 12 = 234,000 <=> 24b = 234,000 <=> b = $9,750 <=> 3b/2 = 14,625

Thus,  break-even point in units for each product is Product X 14,625 units, Product Y 9,750 units.

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The following costs result from the production and sale of 4,500 drum sets manufactured by Tight Drums Company for the year ende
podryga [215]

Answer:

Tight Drums Company

1. Contribution Margin Income Statement for the year ended December 31, 2019:

Sales Revenue                                                     $1,350,000

Variable production costs:

 Plastic for casing                  $121,500  

 Drum stands                          162,000

Wages of assembly workers  414,000

Total variable prodn. costs           $697,500

Variable selling costs :

Sales commissions                          112,500

Total variable costs                     $810,000             810,000

Contribution                                                          $540,000

Fixed manufacturing costs:

Taxes on factory                              15,000

Factory maintenance                      30,000

Factory machinery depreciation    90,000

Total Manufacturing overhead $135,000              135,000

Fixed selling and administrative costs :

Lease of equipment for sales staff         30,000

Accounting staff salaries                         80,000

Administrative management salaries   160,000

Total fixed selling and admin. costs $270,000    270,000

Operating Profit (Pre-Tax)  Income                       $135,000

Income Tax Expense (Rate = 35%)                           47,250

Net Income                                                             $87,750

2.Computation of Contribution Margin per unit and Contribution Margin Ratio:

a) Contribution Margin per unit

= Contribution Margin divided by Units sold

= $540,000/4,500

= $120 per unit

b) Contribution Margin Ratio

= Contribution per unit/Selling price * 100

= $120/$300 * 100

= 40%

3. For each dollar of sales, contribution per dollar

= 40% of $1

= $0.40

Explanation:

a) Data:

Sales = 4,500 drums

Selling price = $300 each

Sales Revenue = 4,500 x $300 = $1,350,000

Variable production costs:

 Plastic for casing                  $121,500  

 Drum stands                          162,000

Wages of assembly workers  414,000

Total variable prodn. costs $697,500

Variable selling costs :

Sales commissions                 112,500

Total variable costs            $810,000

Fixed manufacturing costs:

Taxes on factory                              15,000

Factory maintenance                      30,000

Factory machinery depreciation    90,000

Total Manufacturing overhead $135,000

Fixed selling and administrative costs :

Lease of equipment for sales staff         30,000

Accounting staff salaries                         80,000

Administrative management salaries   160,000

Total fixed selling and admin. costs $270,000

Income Tax Rate = 35%

b) Tight Drums Company's contribution margin income statement is a financial statement that separates all the variable costs from the fixed costs.  The difference between Tight Drums' Sales Revenue of $1,350,00 and the Total Variable Costs of $810,000 is called the Contribution Margin.

The Contribution margin of $540,000 shows how much of the sales revenue is left to cover the fixed costs totalling $405,000 and generate operating income, after deducting all the variable costs.

This contribution margin can be expressed per unit by dividing the contribution margin of $540,000 by the 4,500 units sold.  The per unit value can then be expressed as a ratio of the selling price.  From the contribution margin ratio, we can estimate how much is left per dollar of sales for Tight Drums Company to cover its fixed costs and generate operating income.

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Answer:

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Deferred tax liability                                      $25 million

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