The standard factory overhead rate is $7.50 per machine hour ($6.20 for variable factory overhad and $1.30 for fixed overhead) b
ased on 100% capacity of 80,000 machine hours. The standard cost and the actual cost of factory overhead for the production of 15,000 units during August were as follows:Actual Variable Factory Overhead: $360,000fixed factory overhead 104,000Standard hours allowed for units produced: 60,000 hoursWhat is the amount of the factory overhead controllable variance?options for both are:a) 12,000Ub) 12,000Fc) 14000Ud) 26000U
1 answer:
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Answer:
Answer is explained in the explanation section below.
Explanation:
Data Given:
LSL = 4.96 cm
USL = 5.04 cm
Mean = 5 cm
SD = 0.01 cm
1. Capability Index:
Cpk = min ( ,
)
So, now, we need to find the following:
=
=
= 1.33
Similarly,
=
=
= 1.33
So,
Cpk = min ( ,
) = 1.33
2. Maximum Standard deviation allowed.
Let SD be maximum standard deviation allowed.
So,
Mean - 3SD = 4.96 Equation 1
Mean + 3SD = 5.04 Equation 2
Subtracting Equation 2 from 1, we have
6SD = 5.04 - 4.96
6SD = 0.08
SD = 0.0133