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A Manufacturing Company Whose Total Factory Overhead Cost Fluctuate Considerably From Year ... Question: A manufacturing...

A Manufacturing Company Whose Total Factory Overhead Cost Fluctuate Considerably From Year ... Question: A manufacturing company whose total factory overhead cost fluctuate considerably from year to yea... A manufacturing company whose total factory overhead cost fluctuate considerably from year to year according to increases and decreases in the number of direct labor-hours worked in the factory. Total factory overhead costs at high and low levels of activity for recent years are Low: 52800, High: 70,400, Total factory overhead cost $279,380 Low, and $316,340 High. The factory overhead costs above consist of indirect materials, rent, and maintenance. The company has analyzed these costs at the 52,800-hour level of activity as: indirect materials (variable) $89,760, rent (fixed) 138,000, maintenance (mixed) 51,620, total factory overhead cost: $279,380. Estimate how much of the $316,340 factory overhead cost at the high level of activity consist of maintenance cost. First determine how much of $316,340 consist of indirect materials and rent. Maintenance cost at high level of activity is Using the high-low method estimate a cost formula for maintenance (round the variable cost per DLH to 2 decimal places) High level of activity, low level of activity, change, variable cost element fixed cost element Y=------+--------x What total factory overhead cost would you expect the company to incur at an operating level of 58,080 direct labor-hours?

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Expert Solution

Variable Fixed Mixed
Activity level(hour) Factory overhead Indirect Materials Rent Maintenance
52800 $279,380 $89,760 $138,000 $51,620
70400 $316,340
Indirect material at 70400 hours $                  119,680 (89760/52800)*70400)
Rent at 70400 hours level $138,000
Maintenance cost at70400 level $58,660 (316340-119680-138000)
Total Factory overhead at 70400 $                  316,340
Maintenance cost at high level $58,660
Maintenance cost at low level $51,620
Y=a+bX
Y2=High Level
Y1=Low level
Y2=a+bX2
Y1=a+bX1
(Y2-Y1)=b(X2-X1)
b=(Y2-Y1)/(X2-X1)
In this case,
b=(Y2-Y1)/(X2-X1)
b=(58660-51620)/(70400-52800)
b= 0.40
Y2=a+bX2
58660=a+0.4*70400
a=58660-(0.4*70400) 30500
The Required Formula for Maintenance cost:
Y=30500+0.4X
Y=Maintenance cost
X=activity level
At operating level58080 hours;
Maintenance cost=30500+0.4*58080 $                     53,732
Variable indirect material $                     98,736 (89760/52800)*58080
Rent $138,000
Total factory overhead cost $                  290,468

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