Answer:
Answer is explained in the explanation section below.
Explanation:
Solution:
a.
In part a, we need to find the following 3 requirements:
1. Direct Materials Price Variance
2. Direct Materials Quantity Variance
3. Total Direct Materials Cost Variance
Direct Materials Price Variance:
It can be calculated by using the following formula:
DMPV = AQ multiplied by (AP minus the SP)
Where,
DMPV = Direct Materials Price Variance
AQ = Actual Quantity
AP = Actual Price
SP = Standard Price
We do have all the data, so just plug in the values into the above equation to get the DMPV.
AQ = 101,000
AP = 6.50 USD
SP = 6.40 USD
So,
DMPV = 101,000 ( 6.50 - 6.40)
DMPV = 10,100 USD
Direct Materials Quantity Variance:
DMQV = SP ( AQ - SQ )
Where,
DMQV = Direct Materials Quantity Variance = ?
SP = Standard Price = 6.40 USD
AQ = Actual Quantity = 101,000
SQ = Standard Quantity = 100,000
Plugging in the values:
DMQV = 6.40 ( 101,000 - 100,000)
DMQV = 6400 USD
Total Direct Materials Cost Variance:
DMCV = SMC - AMC
Where,
DMCV = Direct Materials Cost Variance = ?
SMC = Standard Market Cost = 6.40 USD x 100,000
AMC = Actual market Cost = 6.50 USD x 101,000
DMCV = (6.40 USD x 100,000) - (6.50 USD x 101,000)
DMCV = 640,000 - 656,500
DMCV = 16,500 USD
b.
For part b, we need following particulars:
1. Direct Labor Rate Variance (DLRV)
2. Direct Labor Time Variance (DLTV)
3. Direct Labor Cost Variance (DLCV)
Direct Labor Rate Variance (DLRV) :
DLRV = (ADLR - SDLR) x ADLH
Where,
ADLR = Actual Direct Labor Rate = 15.40 USD
SDLR = Standard Direct Labor Rate = 15.75 USD
ADLH = Actual Direct Labor Hour = 2000
So,
DLRV = (ADLR - SDLR) x ADLH
DLRV = (15.40 USD - 15.75 USD ) x 2000
DLRV = 700 USD
Direct Labor Time Variance (DLTV):
DLTV = ( ADLH - SDLH ) x SDLR
SDLH = Standard Direct Labor Hour = 2080
DLTV = ( 2000 - 2080 ) x 15.75 USD
DLTV = 1260 USD
Direct Labor Cost Variance (DLCV)
DLCV = SDLC - ADLC
SDLC = Standard Direct Labor Cost
ADLC = Actual Direct Labor Cost
DLCV = (1540 x 2000) - (15.75 x 2080)
DLCV = 1960 USD
c.
For Part c, we need following:
1. variable factory overhead controllable variance (VFOCV)
2. fixed factory overhead volume variance (FFOVV)
3. Total factory overhead cost variance (TFOCV)
variable factory overhead controllable variance (VFOCV):
VFOCV = AFO - B
Where,
AFO = Actual Factory Overhead = 8200
B = Budgeted Allowance Based on Standard Hours Allowed = 4160x0.5x4
B = 8320 USD
VFOCV = 8200 - 8320
VFOCV = 120 USD
fixed factory overhead volume variance (FFOVV) :
FFOVV = (S - BH ) x SOR
Where,
S = Standard Hours for actual output = 4160 x 0.5
BH = Budgeted Hours = 2080
SOR = Standard Overhead Rate = 6 USD
FFOVV = (4160 x 0.5 - 2080) x 6
FFOVV = 0 USD
Total factory overhead cost variance (TFOCV):
TFOCV = AFO - SO
Where,
AFO = Actual Factory Overhead = 20,200
SO = Standard Overhead = 2080 x 10
TFOCV = 20,200 - ( 2080 x 10 )
TFOCV = 600 USD
