Break Even Analysis

Break-Even Analysis
Healthy Foods, Inc. sales information.
Bags size: 50 lbs. Fixed cost of OPS: \$80,000.
Bags price: \$10. Variable cost: \$0.10 per lb.

What is the break-even point?

BE=(Fixed Cost)/█(Contribution Margin@(price-variable cost))

BE=80,000/(10-(50*0.10) )→BE=80,000/(10-5)→BE=80,000/5→BE=16,000

Break-even point is 16,000 bags or \$160,000 in sales (16,000*10).

Calculate the profit or loss on 12,000 bags and on 25,000 bags.

1, on 12,000 bags

12,000 bags * \$10= \$120,000 sales (less than \$160,000)
12,000 bags * 50 lbs * \$0.10= \$60,000 variable cost
sales – variable cost= totals cost so, \$120,000 - \$60,000= 60,000
\$80,000 + \$60,000= \$140,000
\$120,000 - \$140,000 = -\$20,000
Since at this point the sales are lower than the BE amount, we can see that the sale will result in loss. After this calculation we can determine that the loss is of \$20,000.

2, on 25,000 bags

25,000 bags * \$10= \$250,000 sales (more than \$160,000)
25,000 bags * 50 lbs * \$0.10= \$125,000 variable cost
sales – variable cost= total cost so, \$250,000 - \$125,000= \$125,000
\$80,000 + \$125,000= \$205,000
\$250,000 - \$205,000= \$45,000
Since at this point the sales are higher than the BE amount, we can see that the sale will result in profit. After this calculation we can determine that the profit is of \$45,000.
What is the degree of operating leverage at 20,000 bags and at 25,000 bags?
Why does the DOL change as the quantity sold increases?
1,   on 20,000 bags

DOL=   (Q(P-VC))/(Q(P-VC)-FV)→DOL=   (20,000[10-(0.10*50)])/(20,000[10-(0.10*50)]-80,000)

DOL=100,000/(100,000-80,000)→DOL=   100,000/20,000→DOL=5 times

2,   on 25,000 bags

DOL=   25,000[10-(0.10*50)]/(25,000[10-(0.10*50)]-80,000)→DOL=125,000/(125,000-80,000)

DOL=125,000/45,000→DOL=2.78 times

As explained by Block, Hirt, and Danielsen (2009) “[there is a] substantial increase income as volume expands” (p. 128). Additionally, as production cost decreases with the increase of...