The following data are for Lily Kay Company. Total sales revenue $250,000 Number of units sold 50,000 units Contribution margin per unit $3.50 Fixed costs $100,000 Calculate the number of units that must be sold to generate net income of $80,000.

a. 120,000 units
b. 51,429 units
c. 22,857 units
d. 5,714 units
e. 13,333 units

b. 51,429 units

Explanation:

If x = Number of units

Net Income = Sales Revenue - Variable Cost - Fixed Cost

or

Net Income = Contribution Margin - Fixed Cost

where,

Net Income = $80,000

Contribution Margin per unit = $3.50

Fixed Cost = $100,000

Contribution Margin = Net Income + Fixed Cost

$3.50x = $80,000 + $100,000

$3.50x = $180,000

Dividing the above equation by $3.50 we get

x = $180,000 / $3.50

x = 51,429 units

Hence 51,429 number of units must be sold to generate the net income of $80,000.

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