Case Study
1. What is the break even in units and Margin of safety in units for each year
Break even units
Break even units = Total Fixed Costs / Contribution margin per unit
2014 = 1347686 /38
=35465 units
2015 = 1619469 /36
=44985 units
2016 =1379441 /32
=43108 Units
Note: Contribution margin per unit = (Sales price per unit – Variable Cots per unit)
Margin of Safety
Margin of safety = (Actual Sales – Break even sales) / Selling price per unit
2014 = (100274- 35465)/ 56
=1157.3 Units
2015 = (107108-44985)/54
=1150.3 units
2016 = (117901-43108)/52
=1438.3 Units
The company has calculated that 40% of the variable cost of goods sold are attributable to direct material and that 60% of the variable cost of goods sold are associated with direct labor
Direct material = 40% of Cost of goods sold
Direct labor = 60% of Cost of goods sold
4). what is the direct material cost per item for 2016?
Direct material cost per item = Total direct material cost for the period / Total equivalent unit of direct materials
Direct cost per item 2016 = (40%*2145796)/117901
Direct cost per item 2016 = 7.28
It is projected that the number of units sold for 2017 will increase by 5% from 2016. No change in inventory is scheduled for 2017:
5).What is the production budget for 2017
|
Production budget |
2016 |
2017 |
|
Budgeted Sales |
117901 |
123796 |
|
Add: Desired ending inventory |
613084 |
643738 |
|
Total Needs |
730985 |
767534 |
|
Less; Beginning Inventory |
289191 |
613084 |
|
Units to be manufactured |
441794 |
154450 |
Note no 1 : Ending inventory = Cost of goods available – Cost of goods sold
It is expected that the cost of direct materials will increase by 3% from 2016 to 2017
6). what is the direct material budget for 2017
|
Direct material budget |
2017 |
|
Units to be produced ( from production budget ) |
154450 |
|
Direct material per unit |
6.93 |
|
Total direct material needed for production |
1070339 |
|
Add: desired ending direct material |
884069 |
|
less: beginning direct material |
858319 |
|
Direct material Purchased |
1096089 |
7). what was the direct labor hours per unit for
Direct labor hours per unit = Standard direct labor rate * Standard direct labor hours
a. 10.69 *1.33 = 15.3
b. 10.92 *1.43 =16.8
Note:
Direct labor rate = Total Direct labor / units sold
Direct labor = 60% of cost of goods sold
It is budgeted that the direct labor hours per unit from 2016 will be same for 2017. It is also budgeted that the direct labor rate for 2017 will increase by 2% from 2016
8). what is direct labor budget for 2017?
|
Direct labor Budget |
2017 |
|
Budgeted unit to be produce |
154450 |
|
Direct labor hours per unit |
1.54 |
|
Direct labor hours needed for production |
237853 |
|
Direct labor cost per hour |
11.14 |
|
Budgeted direct labor cost |
2649682 |
When drafting the budget for 2016 the standard hourly rate was set at $12.56 for direct labor
9). what is the direct labor rate variance for 2016?
Direct labor rate variance = (Actual hours * Standard Rate ) –(Actual hours – Actual rate )
Direct labor rate variance = (16.8*12.56)-(16.8 -1.54)
Direct labor rate variance = 195.74
A new piece of manufacturing equipment is being considered for purchase. This machine is projected to reduce total cost goods by 18% (based on 2016 actual results) and have a useful life of 5 years.
10) If the machine costs $2,500,000 should it be purchased? Explain:
Cost = $2500000
Residual value = ($2145796* 18%) =386243
Useful life = 5 Years
Depreciation in straight line method = (Cost – residual value) / Useful life
= (2500000-386243)/5
Depreciation expenses = 422751