In: Accounting
Perkins Company produces and sells a single product. The company's
income statement for the most recent month is given below:
Sales (15,000 units at $29 per unit) ...........
$435,000
Less variable costs:
Direct materials (variable) ......................
$60,000
Direct labor (variable).............................
75,000
Variable
factory overhead......................
45,000
Variable
selling and other expenses ......
30,000
210,000
Contribution margin............................
225,000
Less fixed expenses:
Fixed
factory overhead ...........................
100,000
Fixed
selling and other expenses............
85,000
185,000
Net operating income...........................
$ 40,000
There are no beginning or ending inventories.
Required:
a. Compute the company's break-even point
in units and sales dollars
.
b. What would the company's monthly net operating income be if
sales
and
total variable costs
increased by 25% and total fixed factory
overhead dropped by $18,000?
c. What total level of sales (in units) must the company achieve in order to
earn a target profit of $115,000?
d. The company has decided to automate a portion of its operations. The
change will reduce direct labor costs per unit by 50 percent, but it will
double the costs for fixed factory overhead. Every other cost remains
unchanged. Compute the new break-even point
in units
.
a) Calculation of break even point in units: | |||
Contribution margin per unit=225000/15000=$15 | |||
Break even point in units= Fixed cost/ contribution margin per unit | |||
=185000/15=12333.33 units | |||
Break even point in units= 12333.33 units | |||
Break even point indollars=12333.33*29=$357666.57 | |||
b)Calculation of net operating income | |||
Particulars | Amount | ||
Sales(435000*1.25) | 543750 | ||
Less: Variable costs(210000*1.25) | 262500 | ||
Contribution | 281250 | ||
Less: Fixed factory overhead(100000-18000) | 82000 | ||
Less: Fixed selling and other expense | 85000 | ||
Net operating income | 114250 | ||
c)Calculation of sales: | |||
Sales=(fixed cost+target income)/ contribution per unit | |||
=(185000+115000)/15=20000 units | |||
Sales=20000 units | |||
d)Calculation of net operating income | |||
Particulars | Amount | ||
Sales | 435000 | ||
Less:Direct material | 60000 | ||
Less: Direct labour(75000*0.5) | 37500 | ||
Less: Variable factory overhead | 45000 | ||
Less: Variable selling and other expenses | 30000 | ||
Contribution | 262500 | ||
Less: Fixed factory overhead(100000*2) | 200000 | ||
Less: Fixed selling and other expense | 85000 | ||
Net operating income | -22500 | ||
contribution per unit=262500/15000=$17.5 | |||
Break even point in units=(200000+85000)/17.5=16285.71 units |