The Cheyenne Hotel in Big Sky, Montana, has accumulated records of the total electrical costs of the hotel and the number of occupancy-days over the last year. An occupancy-day represents a room rented out for one day. The hotel's business is highly seasonal, with peaks occurring during the ski season and in the summer. |
Month |
Occupancy- Days |
Electrical Costs |
||
January | 3,240 | $ | 8,622 | |
February | 3,060 | $ | 8,228 | |
March | 1,150 | $ | 3,910 | |
April | 2,260 | $ | 7,684 | |
May | 4,310 | $ | 10,984 | |
June | 1,270 | $ | 4,318 | |
July | 3,410 | $ | 9,418 | |
August | 640 | $ | 2,176 | |
September | 1,310 | $ | 4,454 | |
October | 3,760 | $ | 9,738 | |
November | 1,330 | $ | 4,522 | |
December | 2,570 | $ | 7,868 | |
Required: | |
1. |
Using the high-low method, estimate the fixed cost of electricity per month and the variable cost of electricity per occupancy-day. (Do not round your intermediate calculations. Round your Variable cost answer to 2 decimal places and Fixed cost element answer to nearest whole dollar amount) |
|
The following is the required table:
Occupancy days | electrical costs | |
High level activity (may) | 4310 | 10,984 |
Low activity level (august) | 640 | 2,176 |
Change | 3670 | 8,808 |
Variable cost (8,808 / 3670) | $2.40 | per occupancy day |
Fixed cost element (see note) | $640 |
note:
Variable cost element = change in electrical cost / change in occupancy
=>$8,808 / 3,670
=>$2.40 per occupancy day.
Now, consider august month activity.
Total variable cost in august month = variable cost per occupancy day * occupancy days.
=>$2.40* 640
=>$1,536.
Fixed cost per month = total cost of august month - variable cost of august month.
,=>$2,176 - 1,536
=>$640.
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