The
Edelweiss Hotel in Vail, Colorado, 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 | 2,604 | $6,257 |
February | 2,856 | $6,550 |
March | 3,534 | $7,986 |
April | 1,440 | $4,022 |
May | 540 | $2,289 |
June | 1,116 | $3,591 |
July | 3,162 | $7,264 |
August | 3,608 | $8,111 |
September | 1,260 | $3,707 |
October | 186 | $1,712 |
November | 1,080 | $3,321 |
December | 2,046 | $5,196 |
|
Required: |
1. |
Using
the high-low method, estimate the fixed cost of electricity per month
and the variable cost of electricity per occupancy-day. (Round
the "Variable cost per occupancy-day" to 2 decimal places and the
"Fixed cost" to the nearest dollar amount. Omit the "$" sign in your
response.)
|
2. |
What other factors other than occupancy-days are likely to affect the variation in electrical costs from month to month? (You
may select more than one answer. Single click the box with the question
mark to produce a check mark for a correct answer and double click the
box with the question mark to empty the box for a wrong answer.)
|
| |
|
| Seasonal factors like winter or summer. |
| Systematic factors like guests, switching off fans and lights. |
| Number of days present in a month. |
| Fixed salary paid to hotel receptionist. |
| Income taxes paid on hotel income. |
|
Explanation:
1.
| Occupancy-
Days | | Electrical
Costs |
High activity level (August) | 3,608 | | $ | 8,111 |
Low activity level (October) | 186 | | | 1,712 |
|
| |
|
|
Change | 3,422 | | $ | 6,399 |
|
| |
|
|
|
Variable cost | = Change in cost ÷ Change in activity |
| = $6,399 ÷ 3,422 occupancy-days |
| = $1.87 per occupancy-day |
| |
Total cost (August) | $ 8,111 |
Variable cost element
($1.87 per occupancy-day × 3,608 occupancy-days) | 6,747 |
|
|
Fixed cost element | $ 1,364 |
|
|
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2.
Electrical
costs may reflect seasonal factors other than just the variation in
occupancy days. For example, common areas such as the reception area
must be lighted for longer periods during the winter. This will result
in seasonal effects on the fixed electrical costs.
|
Additionally, fixed costs will be affected by how many days are
in a month. In other words, costs like the costs of lighting common
areas are variable with respect to the number of days in the month, but
are fixed with respect to how many rooms are occupied during the month.
|
Other, less systematic, factors may also affect electrical costs
such as the frugality of individual guests. Some guests will turn off
lights when they leave a room. Others will not.
|
thank you so much
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