Question

The large factory would have fixed cash costs of $1.8 million and a depreciation expense of $300,000 per year

 Ivanhoe's Candles will be producing a new line of dripless candles in the coming years and has the choice of producing the candles in a large factory with a small number of workers or a small factory with a large number of workers. Each candle will be sold for $10. If the large factory is chosen, the cost per unit to produce each candle will be $3.00. The cost per unit will be $7.50 in the small factory. The large factory would have fixed cash costs of $1.8 million and a depreciation expense of $300,000 per year, while those expenses would be $490,000 and $100,000, respectively in the small factory, 


Calculate the accounting operating profit break-even point for both factory choices for Ivanhoe's Candles. (Round answers to nearest whole units, eg. 152.) 


The accounting break-even point for large factory is _______  units and for small factory is _______  units.

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Answer #1

Accounting break-even = (Fixed cost + Depreciation)/ (Price per unit – Variable cost per unit)

For large factory,

Accounting break-even = ($ 1,800,000 + $ 300,000)/ ($ 10 - $ 3)

                                      = $ 2,100,000/$ 7 = 300,000 units

For small factory,

Accounting break-even = ($ 490,000 + $ 100,000)/ ($ 10 - $ 7.50)

                                       = $ 590,000/$ 2.50 = 236,000 units

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