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Owen Conner works part-time packaging software for a local distribution company in Indiana. The annual fixed cost is \(10,000 for this process, direct labor is \)3.50 per package, and material is \(4.50 per package. The selling price will be \)12.50 per package. How much revenue do we need to take in before breaking even? What is the break-even point in units?

Short Answer

Expert verified

Revenue before break-even $27778.

Break-even point 2,222 units.

Step by step solution

01

Definition of break-even

Breaking even is a situation of no profit, no loss or the situation when cost and income are the same.

02

Using the formula to evaluate break-evenrevenue

µþ°ù±ð²¹°ì e±¹±ð²Ô r±ð±¹±ð²Ô³Ü±ð=¹ó¾±³æ±ð»å c´Ç²õ³Ù°ä´Ç²Ô³Ù°ù¾±²ú³Ü³Ù¾±´Ç²Ô″¾²¹°ù²µ¾±²Ô r²¹³Ù¾±´Ç°ä´Ç²Ô³Ù°ù¾±²ú³Ü³Ù¾±´Ç²Ô″¾²¹°ù²µ¾±²Ô r²¹³Ù¾±´Ç=°ä´Ç²Ô³Ù°ù¾±²ú³Ü³Ù¾±´Ç²Ô″¾²¹°ù²µ¾±²Ô°Õ´Ç³Ù²¹±ô r±ð±¹±ð²Ô³Ü±ð

03

Calculating the contribution margin

°ä´Ç²Ô³Ù°ù¾±²ú³Ü³Ù¾±´Ç²Ô″¾²¹°ù²µ¾±²Ô =Revenue per unit-³Õ²¹°ù¾±²¹²ú±ô±ð c´Ç²õ³Ù p±ð°ù u²Ô¾±³Ù=12.50 -3.50+4.50=12.50−8=4.50

04

Calculating contribution margin ratio

°ä´Ç²Ô³Ù°ù¾±²ú³Ü³Ù¾±´Ç²Ô″¾²¹°ù²µ¾±²Ô r²¹³Ù¾±´Ç =4.5012.50=0.36

05

 Step 5: Calculating break-even revenue

µþ°ù±ð²¹°ì±ð±¹±ð²Ô r±ð±¹±ð²Ô³Ü±ð =¹ó¾±³æ±ð»å c´Ç²õ³Ù°ä´Ç²Ô³Ù°ù¾±²ú³Ü³Ù¾±´Ç²Ô″¾²¹°ù²µ¾±²Ô r²¹³Ù¾±´Ç=10,0000.36=27,778 a±è±è°ù´Ç³æ.

06

Step 6:Formula for break-even point in unit

µþ°ù±ð²¹°ì±ð±¹±ð²Ô p´Ç¾±²Ô³Ù¾±²Ô u²Ô¾±³Ù²õ=¹ó¾±³æ±ð»å c´Ç²õ³ÙSales price per unit-³Õ²¹°ù¾±²¹²ú±ô±ð c´Ç²õ³Ù p±ð°ù u²Ô¾±³Ù

07

Calculating break-even point in units

µþ°ù±ð²¹°ì e±¹±ð²Ô p´Ç¾±²Ô³Ù¾±²Ô u²Ô¾±³Ù²õ=10,00012.50−4.50+3.50=10,00012.50−8=10,0004.5=2,222 approx.

Thus,break-even revenue is $27,778 and break-even units is 2,222.

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