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The cost structure of two firms competing in the same industry is represented by the following cost formulas: Company X = $2,276,000 + $50/ unit; Company Z = $1,052,000 + $98/unit. The selling price is $145 per unit for both companies. Required: 1. Calculate the indifference point between the two cost structures, that is, the amount of unit sales that produce exactly the same operating income for Company X and Company Z.

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Answer:

Indifference point= 25,500

Explanation:

Giving the following information:

Company X = $2,276,000 + $50/ unit

Company Z = $1,052,000 + $98/unit

We need to find the indifference point where the two companies provide the same total cost.

We need to equal both cost equations:

2,276,000 + 50x = 1,052,000 + 98x

1,224,000 = 48x

25,500= x

x= number of units

To prove:

Company X = $2,276,000 + $50*25,500= $3,551,000

Company Z = $1,052,000 + $98*25,500= $3,551,000

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