Question

Yared plc assembles and sells bicycles in bahir dar city. the company expects to sale 400 bicycles for br. 600 each in 2015. the total variable and fixed costs for there sales are br. 160,000 and 50,000 respective.
Required
a. how many bicycle should be sold for yared plc to each their breakeven point?
b. how many bicycle must be sold to earn a target operating in come of br. 90,000?
c. what amount of sales must yared plc have to earn a target net income of br. 63,000 they have a tax rate of 30 percent?

Answer 1

a. The number of units to be sold for Yared Plc to break-even is 250 units.

b. The number of units to be sold to earn a target operating income of br. 90,000 is 700 units.

c. The sales amount for Yared Plc to earn a target net income of br. 63,000 is 700 units.

Data and Calculations:

Sales units of bicycles = 400 units

Selling price per unit = br. 600

Total variable costs = br. 160,000

Unit variable cost = br. 400 (br. 160,000/400)

Contribution margin per unit = br. 200 (br. 600 - br. 400)

Fixed costs = br. 50,000

Tax rate = 30%

Net income = income after tax

= 1 - 30%

= 70%

a. The number of units to be sold for Yared Plc to break-even is given by Fixed Costs/Contribution margin per unit

= br. 50,000/br. 200

= 250 units.

b. The number of units to be sold to earn a target operating income of br. 90,000 is given as (Fixed Costs + Target Profit)/Contribution margin per unit

= (br. 50,000 + br. 90,000)/br. 200

= br. 140,000/br. 200

= 700 units.

c. The sales amount for Yared Plc to earn a target net income of br. 63,000 is (br. 50,000 + br. 63,000/(1 - 30%)/br. 200

= (br. 50,000 + br. 90,000)/br. 200

= br. 140,000/br. 200

= 700 units.

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