Question

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.

Answer 1

c. It will increase.

Step-by-step 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