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Q 21 A manufacturing company based in Tarkwa uses a standard absorption costing system in accounting...

Q 21

A manufacturing company based in Tarkwa uses a standard absorption costing system in accounting for its production costs.

The standard cost of a unit of product is as follows:

                                                            Standard Quantity                     Standard price/rate                Standard Cost

Direct materials                                       5 kilos                                              6.00                                        30.00

Direct labour                                              20 kilos                                          4.00                                          80.00

Variable production overhead         20 kilos                                            0.20                                                       4.00

Fixed production overhead              20 kilos                                          5.00                                                        100.00

The following data related to period 1:

Budgeted output                                                       25,000 units

Actual output – produced                                        20,000 units

Units sold                                                                    15,000 units

Materials put into production                              120,000 kilos

Materials purchased                                               200,000kilos

Direct labour hours paid                                        500,000hours

Due to a power failure 10,000 hours were post

Cost of materials purchased and used                  GHS825,000

Rate per direct labour hour                                            GHS5

Variable production overhead                                GHS70,000

Fixed production overhead                                    GHS2,100,000

Required:

  1. The materials price variance
  2. The material usage variance
  3. The direct labour rate variance
  4. The direct labour idle time variance
  5. The direct labour efficiency variance
  6. The variable overhead total cost variance
  7. The fixed overhead expenditure variance
  8. The fixed overhead volume variance
  9. The total manufacturing cost variance

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Cost card
Particulars Standard cost for actual production Particulars Actual cost
Quantity & hour Rate($/lb & $/hr) Amount Quantity & hour Rate($/lb & $/hr) Amount
Direct Material 100000.00 6.00 $            6,00,000 Material purchased        2,00,000.00 6.88 $              13,75,000.00
(20,000 unit * 5 Kg) Material used        1,20,000.00 6.88 $                8,25,000.00
Closing material           80,000.00 $                5,50,000.00
Direct labour 400000.00 4.00 $          16,00,000 Direct labour        4,90,000.00 5.00 $              24,50,000.00
(20,000 unit * 20 hr)
Variable overhead 400000.00 0.20 $               80,000 Variable overhead        4,90,000.00 0.14 $                   70,000.00
Fixed overhead $          25,00,000 Fixed overhead $              21,00,000.00
Total Standard manufacturing cost $         47,80,000
Budgeted unit                    25,000
Actual unit                    20,000
Computation of variances:
1 Material Price variance = (Standard rate - Actual rate) * Actual quantity purchase
Material Price variance = ($6 - $6.875) X 200000 kilos   = $-175000 (Unfavourable)
2 Material efficiency variance = (Standard Quantity - Actual Quantity used) * Standard rate
Material efficiency variance = (100000 kilos   - 120000 kilos ) X $6 = $-120000 (Unfavourable)
3 Labor Rate variance = (Standard rate - Actual rate) * Actual hours
Labor Rate variance = ($4/hr - $5/hr) X 490000 hr = $-490000 (Unfavourable)
4 Labor efficiency variance = (Standard Hours - Actual Hours) * Standard rate
Labor efficiency variance = (400000 hr - 490000 hr) X $4/hr = $-360000 (Unfavourable)
5 Variable Overhead rate variance = (Standard rate - Actual rate) * Actual hour used
Variable Overhead rate variance = ($0.2/hr - $0.142857142857143/hr) X 490000 hr = $28000 (Favourable)
6 Variable overhead efficiency variance = (Standard hour - Actual hour) * Standard rate
Variable overhead efficiency variance = (400000 hr - 490000 hr) X $0.2/hr = $-18000 (Unfavourable)
7 Fixed Overhead Budget variance = (Actual Fixed overhead - Budgeted Fixed overhead
Fixed Overhead Budget variance = ($2100000 - $2500000) = $400000 (Favourable)
8 Fixed overhead Volume variance = (Actual output - Budgeted output) * Budgeted Overhead rate
Fixed overhead Volume variance = (20000 unit - 25000 unit ) X ($2500000 / 25000 unit ) = $-500000 (Unfavourable)