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Menlo Company distributes a single product. The company’s sales and expenses for last month follow:

Total Per unit
Sales $314,000 $20
Variable expenses 219,800 14
Contribution margin 94,200 6
Fixed expenses 75,000
Net operating income 19,200

Required:
a. What is the monthly break-even point in unit sales and in dollar sales?
b. Without resorting to computations, what is the total contribution margin at the break-even point?
c. How many units would have to be sold each month to attain a target profit of S27,600?
d. Verify your answer by preparing a contribution format income statement at the target sales level.
e. Refer to the original data. Compute the company's margin of safety in both dollar and percentage terms.
f. What is the company's CM ratio? If sales increase by $76,000 per month and there is no change in fixed expenses, by how much would you expect monthly net operating income to increase?

Respuesta :

jepessoa

Answer:

a) 12,500 units

b) $75,000

c) 17,100 units

d) total sales revenue $342,000

- variable costs = -$239,400

contribution margin = $102,600

- fixed expenses = $75,000

net income = $27,600

e) 20.38%

f.1) 30%

f.2) $22,800

Explanation:

                                                       Total          Per unit

Sales                                            $314,000        $20

Variable expenses                     $219,800         $14

Contribution margin                    $94,200          $6

Fixed expenses                           $75,000

Net operating income                 $19,200

break even point = fixed costs / contribution margin = $75,000 / $6 = 12,500 units

units needed to yield expected profits = (fixed costs + expected profits) / contribution margin = ($75,000 + $27,600) / $6 = 17,100 units

margin of safety = (current sales - break even point) / current sales = ($314,000 - $250,000) / $314,000 = 20.38%

contribution margin ratio = (total revenue - variable costs) / total revenue = ($314,000 - $219,800) / $314,000 = 30%

$76,000 x 30% = $22,800

"a) 12,500 units, b) $75,000, c) 17,100 units, d) Net income is = $27,600, e) 20.38%, f.1) 30%, and f.2) $22,800 To understand the calculations, check below".

Calculation of Net operating income

                                                      Total          Per unit

                                                                                                                     

Sales                                            $314,000       $20

Variable expenses                    $219,800         $14

Contribution margin                    $94,200          $6

Fixed expenses                         $75,000

Net operating income                 $19,200

Then break even point is = fixed costs / contribution margin = $75,000 / $6 = 12,500 units

Now, the units needed to yield expected profits = (fixed costs + expected profits) / contribution margin is = ($75,000 + $27,600) / $6 = 17,100 units

After that margin of safety is = (current sales - break even point) / current sales = ($314,000 - $250,000) / $314,000 = 20.38%

Then contribution margin ratio is = (total revenue - variable costs) / total revenue = ($314,000 - $219,800) / $314,000 = 30%

$76,000 x 30% = $22,800

Therefore,

a) 12,500 units

b) $75,000

c) 17,100 units

d) total sales revenue $342,000 - variable costs = -$239,400

contribution margin = $102,600- fixed expenses = $75,000

net income = $27,600

e) 20.38%

f.1) 30%

f.2) $22,800

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