Frank Corporation manufactures a single product that has a selling price of $25.00 per unit. Fixed expenses total $64,000 per year, and the company must sell 8,000 units to break even. If the company has a target profit of $19,000, sales in units must be:.a. 9,648b. 8,760c. 10,375d. 10,560

Break-even point in units= 10,375

Explanation:

Giving the following information:

Selling price= $25

Fixed cost= $64,000

Break-even point in units= 8,000

First, we need to determine the unitary contribution margin:

Break-even point in units= fixed costs/ contribution margin per unit

8,000 = 64,000 / contribution margin per unit

contribution margin per unit8,000= 64,000

contribution margin per unit= 64,000 / 8,000

contribution margin per unit= $8

Now, the number of units to be sold to make a profit of $19,000:

Break-even point in units= (fixed costs + desired profit) / contribution margin per unit

Break-even point in units= (64,000 + 19,000) / 8

Break-even point in units= 10,375

High Tech Manufacturing

a. Contribution margin per unit:

Selling price = $25

Variable cost   $18.60

Contribution   $6.40

Contribution margin percentage:

Contribution/Selling price * 100

= $6.40/$25 * 100

= 25.6%

Total contribution margin:

Sales Revenue ($25 * 120,000) = $3,000,000

Variable cost ($18.60 * 120,000) =  2,232,000

Total Contribution =                        $768,000

b. Monthly operating income if the company sold 160,000 units:

Sales Revenue ($25 * 160,000) =            $4,000,000

Variable cost ($18.60 * 160,000) =             2,976,000

Total Contribution =                                  $1,024,000

Fixed manufacturing overhead $241,900

Fixed selling and administrative

expenses                                    327,900

Total Expenses                                           $569,800

Operating Income                                    $454,200

c. What would the company's monthly operating income be if the company had sales of $4,500,000?

Sales volume = $4,500,000/$25 = 180,000 units

Sales Revenue ($25 * 180,000) =            $4,500,000

Variable cost ($18.60 * 180,000) =             3,348,000

Total Contribution =                                   $1,152,000

Fixed manufacturing overhead $241,900

Fixed selling and administrative

expenses                                    327,900

Total Expenses                                           $569,800

Operating Income                                     $582,200

d. Break-even point in units = Fixed costs/Contribution per unit

= $569,800/$6.4

= 89,031 units

Break-even point in sales dollars = Fixed costs/Contribution margin ratio

= $569,800/25.6%

$2,225,781.25

e. Sales unit to earn a Target profit of $260,100:

= (Fixed Costs + Target profit)/Contribution per unit

= ($569,800 + $260,100)/$6.40

= 129,672 units

f.  If direct labor costs increase by 10% and fixed costs increase by $22,500, units to sell to break even per month:

= $592,300/$5.63

= 105,204 units

g. Current operating leverage factor = Contribution margin / Net operating income

= $768,000/198,200

= 3.87

h. = 27.12%

Sales Revenue ($25 * 128,400) = $3,210,000

Variable cost ($18.60 * 128,400) =  2,388,240

Total Contribution =                          $821,760

Fixed Costs                                      $569,800

Operating income                            $251,960

Increase operating income = $53,760 ($251,960 - $198,200)

Percentage increase = $53,760/198,200 * 100

= 27.12%

i.  Margin of safety as a percentage of sales:

Margin of safety = (Sales Minus Break-even Sales)/Sales * 100

= ($3,000,000 - $2,225,781)/$3,000,000 * 100

= 3.91%

Explanation:

Price and Cost Data and Calculations:

Relevant range = 200,000 units per month

Sales price per unit: (current monthly sales volume is 120,000 units) $25

Variable costs per unit:

Direct materials                                6.60

Direct labor                                       7.70        + 1.1 = $8.47

Variable manufacturing overhead  2.40

Variable Manufacturing Costs    $16.70

Variable selling and administrative expenses 1.90

Total variable costs per unit  $18.60            New = $19.37

Total contribution margin:

Sales Revenue ($25 * 120,000) = $3,000,000

Variable cost ($18.60 * 120,000) =  2,232,000

Total Contribution =                        $768,000

Total fixed costs =                            $569,800

Operating income =                         $198,200

New Contribution = $25 - 19.37 = $5.63

Contribution margin ratio = $5.63/$25 * 100 = 22.52%

Monthly fixed expenses:

Fixed manufacturing overhead $241,900

Fixed selling and administrative expenses 327,900

Total fixed costs = $569,800

New fixed costs = $569,800 + $22,500 = $592,300