CFA Level 1: Calculating Fixed Operating Costs

Fixed Operating Costs

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Question

Lincoln Lodging Inc. estimates that if its sales increase 10 percent then its net income will increase 18 percent. The company's EBIT equals $2.4 million, and its interest expense is $400,000. The company's operating costs include fixed and variable costs. What is the level of the company's fixed operating costs?

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A. B. C. D. E.

C

We're given enough information to find both DFL and DTL.

DTL = .18/.10 = 1.8.

DFL = $2,400,000/($2,400,000 - $400,000) = 1.2

Given DTL = DFL x DOL, we can calculate DOL = 1.5. Recognizing S - VC - FC = EBIT, 1.5 = (S - VC)/$2,400,000 or S - VC = $3,600,000. The difference between (S - VC) and EBIT must represent fixed operating costs. Thus, FC = $3,600,000 - $2,400,000 = $1,200,000.