Question

Chruch Corporation manufactures numerous products, one of which is called Tau-42. The company has provided the...

Chruch Corporation manufactures numerous products, one of which is called Tau-42. The company has provided the following data about this product:
Unit sales (a) 70,000
Selling price per unit $ 56.00
Variable cost per unit $ 40.00
Traceable fixed expense $ 640,000
Assume that the total traceable fixed expense does not change. If Chruch decreases the price of Tau-42 to $52.64, what percentage change in unit sales would provide the same net operating income as is currently being earned at a price of $56? (Round your "Percentage" answers to 1 decimal place.)

Homework Answers

Answer #1

Percentage change in unit sales would provide the same net operating income as is currently being earned = 26.6 %

Explanation:

Existing total contribution margin = ($56 - $40) * 70,000 units = $1,120,000.

New contribution margin after price change = $52.64 - $40.00 = $12.64.

Total number of unit sales after price change = $1,120,000 / $12.64 = 88,608 units

Increase in unit sales after price change = 88,608 units - 70,000 units = 18,608 units

Percentage change in unit sales would provide the same net operating income as is currently being earned :

( 18,608 units / 70,000 units ) * 100 = 26.6 %.

   

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