Question

The Cheyenne Hotel in Big Sky, Montana, has accumulated records of the total electrical costs of...

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)

Occupancy Electrical
Days Costs
High activity level
Low activity level
Change 0 $0
Variable cost per occupancy-day
Fixed cost element

Homework Answers

Answer #1

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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