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CM ratio. , CM ratio CM S = -= s-vc ~ S = vc 1- S The CM ratio can also be computed using per-unit data as follows: CM ratio = UnitCM - p - U - I - - U P P P Note that the CM ratio is 1minus the variable cost ratio. For example, if variable costs account for 70 percent of the price, the CM ratio is 30 percent. 4 BREAK-EVEN ANALYSIS The break-even point, the point of no profit and no loss, provides managers with insights into profit planning. It can be computed in three different ways: 1. The equation approach 2.
42 DETERMINATION OF COST BEHAVIOR PATTERNS [CHAP. 3 SOLUTION Fixed costs = $50,000 + $30,000 + $12,000 + $5,000 = $97,000. Thus, the formula is: y ’ where y’ = estimated selling expenses and x = sales. 35x, The XYZ Tool Manufacturing Co. shows the following factory overhead costs at various levels of direct labor hours for the last four months: Direct Labor Hours x 2,500 hours 1,500 2,000 3,000 9,000 hours Month July August September October Factory Overhead y $ 7,000 5,000 6,000 8,000 $26,000 Determine the monthly fixed overhead and the variable overhead rate per direct labor hour (DLH) using ( a ) the scattergraph method and ( b ) the high-low method.
The following details are provided for the first 10 months of the past year: Month 1 2 3 4 5 6 7 8 9 10 Number of Units Mixed Factory Produced x Overhead y 1,500 $ 800 2,000 1,000 3,000 1,350 2,500 1,250 3,000 1,300 2,500 1,200 3,500 1,400 3,000 1,250 1,150 2,500 1,500 800 25,000 $11,500 Determine the fixed and variable elements of the mixed factory overhead using the high-low method. 30/unit. 10 Assume that six monthly observations of indirect manufacturing costs y and machine hours x are to be used as a basis for developing the cost-volume formula y ’ = a + bx.