(a) (i) Flexible budget based on a 50% level of activity.
Workings
Margin 20 / 100 = 1 / 5
Markup = 1 / 4 |
70% = 6,300 units
50% = ?
50 / 70 x 6,300 = 4,500 units
Production overheads are partly fixed and partly variable and take the form
y = a + bx
Where
a = fixed cost
b = variable cost per unit
x = output
At 60% activity level
70% = 6,300 units
60% =?
60 / 70 x 6,300 = 5,400 units
Subtracting equation (i) from equation
164,800 = a + 6,300 b ----(i)
150,400 = a + 5,400 b ----(ii)
14,400 = 900b
b = Sh.16
150,000 = a + 5,400 x 16
150,400 = a + 86,400
a = 150,400 - 86,400 = Sh. 64,000
y = 64,000 + 16x
At 50% activity level
y = 64,000 + 16x = 64,000 + (16 x 4,500)
64,000 + 72,000 = Sh 136,000
Selling and distribution overheads partly variable and partly fixed and they are in the form y = a +
bx
Where: y = Total cost
a = fixed cost
b = variable cost per unit
x = output in units
At 60% activity level
70% = 6,300 units
60% = ?
60 / 70 x 6,300 = 5,400 units
176,400 = a + 6,300b
169,200 = a + 5,400b
900b = 7,200
b = 8
176,400 = a + 6,300b
176,400 a + (6,300 x 8)
176,400 = a + 50,400
a = 126,000
y = 126,000 + 8x
At 50% level of activity
y = 126,000 + 8x
126,000 + 8 x 4,500
126,000 + 36,000 = 162,000
Limit processing company flexible budget at 50% activity level
|
Sh |
Sh |
Direct materials
Direct wages
Production overheads
Admin overheads
Serving & distribution overheads
Total cost
Markup
Selling price |
50 / 70 x 176,400 50 / 70 x 75,600
1 / 4 x 604,000
|
126,000
54,400
136,000
126,000
162,000
604,000
151,000
755,000 |
(ii) Problems which might arise from such a change in the level of activity
➫ The business could fall short of the client's expectations.
➫ The firm's earnings will be impacted by fixed costs because they are constant.
➫ The company can have a lot of unutilized capacity.
➫ Most of the employees of the company would be idle as a result.
(i) Standard cost card for the period ended 30 April 2019
Standard price per kg = (8,450 + 370) / 420 = Sh. 21per kg
Standard usage per unit = 21(420 - x) = 252 = 8,820 - 21x = 252
21x = 8,568
x = 409 kgs
Standard usage per unit produced in kgs = 408 / 7,200 = 0.057kgs
Direct labour rate variance = (Actual rate- standard rate) Actual hrs
1,120 = (35,280 / 9,100 x SR) x 9,100
1,120 = (3.877 - SR)100
1,120 = 35,280 - 9,100SR
SR = Sh. 4,000
Direct labour efficiency variance
LEV = Standard rate (Actual hours - standard hours)
1,040 = 4,000(9,100 - sh)
1,040 = 36,400 - 4,000Sh
4,000Sh = 37,440
Standard hours 9.360 hours
Standard labour hours per unit produced = 9,360 / 720 = 1300 hours per unit
Variable overhead efficiency variance (V. O. E.V)
V.O.E.V Standard variable overhead absorption
Rate (Actual hours - standard hours)
9,100 = VOARC (9,100 - 9,360)
9,100 = 260,000V.O.A.R
Standard rate Sh. 3,500
Biashara Ltd
Standard cost card for the period ended 30 April 2019 |
Standard cost per unit
Direct materials: 0.057 kg at Sh 21 per kg Direct labour 1300 hours at Sh 4,000 per hour
Prime cost
Variable overheads 1300 hours at 3,500
|
Sh.
1.197
5.200
6.797
4.550
10.947 |
Biashara Ltd
Budget for period ended 30 April 2019 |
Direct materials 8,450 + 370 + 252
Labour cost 35,280 + 1,120 + 1,040
Variable overheads 34,200 - 2,350 + 910 Total variable cost
Fixed costs 28,500 - 500
Total costs |
Sh.
9,072 37,440
32,760
79,272
28,000 107,272 |