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Raner, Harris & Chan is a consulting firm that specializes in information systems for medical and dental clinics. The firm has two offices—one in Chicago and one in Minneapolis. The firm classifies the direct costs of consulting jobs as variable costs. A contribution format segmented income statement for the company’s most recent year is given:
Office | |||||||||||||||||
Total Company | Chicago | Minneapolis | |||||||||||||||
Sales | $ | 450,000 | 100.0 | % | $ | 90,000 | 100 | % | $ | 360,000 | 100 | % | |||||
Variable expenses | 243,000 | 54.0 | % | 27,000 | 30 | % | 216,000 | 60 | % | ||||||||
Contribution margin | 207,000 | 46.0 | % | 63,000 | 70 | % | 144,000 | 40 | % | ||||||||
Traceable fixed expenses | 100,800 | 22.4 | % | 46,800 | 52 | % | 54,000 | 15 | % | ||||||||
Office segment margin | 106,200 | 23.6 | % | $ | 16,200 | 18 | % | $ | 90,000 | 25 | % | ||||||
Common fixed expenses not traceable to offices | 72,000 | 16.0 | % | ||||||||||||||
Net operating income | $ | 34,200 | 7.6 | % | |||||||||||||
Required:
1-a. Compute the companywide break-even point in dollar sales.
1-b. Compute the break-even point for the Chicago office and for the Minneapolis office.
1-c. Is the companywide break-even point greater than, less than, or equal to the sum of the Chicago and Minneapolis break-even points?
Solution:-
1-a. Compute the companywide break-even point in dollar sales:-
Company | |
Fixed cost | 172,800 |
CM Ratio | 46.00% |
Break-even point in dollars | 375,652.17 |
1-b. Compute the break-even point for the Chicago office and for the Minneapolis office:-
Cicago | Minneapolis | |
Fixed cost | 46,800 | 54,000 |
CM Ratio | 70.00% | 40.00% |
Break-even point in dollars | 66,857.14 | 135,000 |
1-c. Is the companywide break-even point greater than, less than, or equal to the sum of the Chicago and Minneapolis break-even points:-
Company wide break-even is greater than the sum of the offices because the companywidebreak-even point takes into account the common fixed expenses that do not affect the segment break-even calculations.
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