Part 1
Budgeted number of cars |
Actual number of cars |
|
Experienced employees |
184 |
210 |
Less experienced employees |
46 |
40 |
Budgeted
30X+15Y = 6210
30X+15(230-X) = 6210
30X+3450-15X = 6210
15X=2760
X =184
(30*184)+15Y=6210
5520+15Y = 6210
15Y =690
Y = 46
Actual
30X+15Y = 6900
30X+15(250-X) = 6900
30X+3750-15X = 6900
15X=3150
X =210
(30*210)+15Y=6900
6300+15Y = 6900
15Y =600
Y = 40
Part 2
Budget |
Actual |
Flexible budget |
|
Cars detailed |
230 |
250 |
250 |
Revenue |
34500 |
47500 |
37500 |
Variable costs |
|||
Costs of supplies |
1610 |
2410 |
1750 |
Labor |
6210 |
6900 |
6750 |
Total variable costs |
7820 |
9310 |
8500 |
Contribution margin |
26680 |
38190 |
29000 |
Fixed costs |
9700 |
9700 |
9700 |
Operating income |
16980 |
28490 |
19300 |
(34500/230)*250 =37500
(1610/230)*250 =1750
(6210/230)*250 =6750
Part 3
( |
Actual sales price |
- |
Budgeted sales price |
) |
X |
Actual # of cars detailed |
= |
Sales Price Variance |
|
( |
190 |
- |
138 |
) |
x |
250 |
= |
$13000 |
U |
47500/250 =190
34500/250 =138
( |
Actual # of cars detailed |
- |
Budgeted quantity of input allowed for actual output |
) |
X |
Budgeted wage rate per car |
= |
Labor efficiency variance |
Labor efficiency variance |
|
Experienced worker |
$300 U |
Less experienced workers |
$300 F |
Experienced worker = 30*(210-(184/230*250)) = 300
Less experience workers = 30*(40-(46/230*250)) = -300
Part 4
In addition to understanding the variances computed above, Peter should attempt to keep track on the number of cars worked on by each employee, as well as, the number of hours actually spent on each car.
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