Jurgenson Industries has compiled the data below concerning manufacturing overhead cost for its first year of operations. They believe that overhead cost is closely related to the number of batches processed and would like to develop a way of projecting overhead cost for budgeting and future operational decision-making.
Month |
Number of Batches (X) |
Manufacturing Overhead (Y) |
---|---|---|
January |
309 |
$84,000 |
February |
128 |
$41,000 |
March |
249 |
$63,000 |
April |
159 |
$44,000 |
May |
216 |
$44,000 |
June |
174 |
$48,000 |
July |
264 |
$66,000 |
August |
162 |
$46,000 |
September |
147 |
$33,000 |
October |
219 |
$66,000 |
November |
303 |
$81,000 |
December |
106 |
$41,000 |
TOTAL |
2,436 |
$657,000 |
Use the high-low method to calculate the cost equation relating to Manufacturing Overhead and number of batches for the data above by writing Excel formulas to calculate the slope (variable cost) and intercept (fixed cost) in the spaces provided on your worksheet. Round your answers to the nearest one dollar. DO NOT USE THE BUILT IN EXCEL FUNCTIONS FOR SLOPE AND INTERCEPT—write formulas to calculate the high-low estimates.
Enter the resulting cost equation in the form y=a+bx in the space provided (this does not have to be an Excel formula.)
2. Using your answers from #1, project total Manufacturing Overhead costs in a month in which 300 batches are processed and enter your answer in the space provided.
Variable cost per Batch: | |||||
Cost | Batch | ||||
High activity | 84000 | 309 | |||
Low activity | 41000 | 106 | |||
Change | 43000 | 203 | |||
Variable cost per bacth: Change in cost/ Change in batches | |||||
43000 /203 = 211.82 per batch | |||||
Fixed cost: | |||||
Total cost of 309 batches | 84000 | ||||
Less: VC @ 211.82 per batch | 65452 | ||||
Fixed cost: | 18548 | ||||
Y = a+ bX | |||||
Y = 18548 + 211.82 X | |||||
Where, Y is total cost and X is number of batches | |||||
Req 2. | |||||
Total Overheads fr300 batches: | |||||
Variable cost (300*211.82) | 63546 | ||||
add: fixed cost | 18548 | ||||
Total Overheads fr300 batches: | 82094 | ||||
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