Calculate the following: (a) Actual units produced (b) Actual price/kg of material (c) Budget units produced (d) Actual units sold (e) Actual profit

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Standard cost card

    $
Materials 2 kgs at $2 per kg 4
Labour 3 hours at $5 per hour 15
Variable overhead 3 hours at $1 per hour 3
Fixed overhead   1
Standard cost of sales   23
Profit per unit   7
Sales price   30

 

Additional information

    $
Budgeted profit   70,000
Sales volume variance (A)   700
Sales price variance (F)   49,500

 

Cost variances

    Fav Adv
    $ $
Materials Price   25,050
  Usage   60,400
       
Labour Rate   6,640
  Idle time   1,000
  Efficiency (other)   15,750
       
Variable Total 7,850  
       
Fixed overhead Expenditure   5,000

 

Actual labour paid = 33,200 hours × $5.20

Actual material purchased = 50,000 kgs

Actual fixed overhead = $15,000

 

Required:

 

Calculate the following:

(a)        Actual units produced

(b)       Actual price/kg of material

(c)        Budget units produced

(d)       Actual units sold

(e)        Actual profit

 

0

Solution:

 

(a)        Actual units produced

$
Actual cost of labour (33,200 x 5.2)            172,640
Labour rate             (6,640)
Idle time             (1,000)
Efficiency           (15,750)
Standard cost of actual production            149,250
Standard labour cost/unit                     15
Actual production (units)                9,950

 

 

 

 

 

(b)       Actual material price per kg

$
Actual price (bal. fig.)                2.501
Standard price                  2.00
               0.501
x actual purchases              50,000
Material price variance          25,050 A

 

(c)        Budget production =

= (15,000 – 5,000) ÷ $1

= 10,000

 

(d)       Actual units sold

$
Actual sales level (bal. fig.)                9,900
Budget sales level              10,000
                  100
x Standard profit/unit                       7
Sales volume variance               700 A

 

(e)        Actual profit

$
Budget profit              70,000
Sales volume variance                (700)
Selling price variance              49,500
Cost variances
Material
Price           (25,050)
Usage           (60,400)
Labour
Rate             (6,640)
Efficiency           (16,750)
Variable overhead                7,850
Fixed overhead
Expenditure             (5,000)
Volume (W)                  (50)
Actual profit              12,760

 

Working

Units
Actual volume produced                9,950
Budget volume produced              10,000
                    50
x Standard fixed overhead rate                     $1
Fixed overhead volume variance               $50 A
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