Sibila, Inc. sells its product for $40. The variable costs are $18 per unit. Fixed costs are $16,000. The company is considering the purchase of an automated machine that will result in a $2 reduction in unit variable costs and an increase of $5,000 in fixed costs. Which of the following is true about the break-even point in units? a. It will remain unchanged
b. It will decrease.
c. It will increase.
d. It cannot be determined from the information provided.

c. It will increase.

Explanation:

Break even point is the level of activity at which a firm neither makes a profit nor a loss.

Break - even units = Fixed Costs ÷ Contribution per unit

therefore,

Existing break-even point in units :

Break - even units = $16,000 ÷ ($40 - $18) = 727.27 or 728 units

New break-even point in units :

Break - even units = $21,000 ÷ ($40 - $16) = 875 units

Conclusion :

The results show that break-even point in units will increase from 728 units to  875 units as a result of the changes

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