Question
The Sleepy Hollow Bed and Breakfast is an inn that is trying to determine what price it needs to charge for its rooms in order
The Sleepy Hollow Bed and Breakfast is an inn that is trying to determine what price it needs to charge for its rooms in order to break even this month because it is the summer the inn expects to rent rooms to 50 customers who will stay an average of two nights each over the course of the month. One meal is provided to each person that stays one night.
The Inn has the following operating costs:
Front Desk Salaries | $ 2,000 | per month |
Maintenance | $ 2,575 | per month |
Cleaning Staff | $ 8 | per room |
Depreciation | $ 1,500 | per month |
Food Costs | $ 5 | per meal |
The inn also has to pay for utilities, but they suspect that utilities are a mixed cost. Some past data on the cost of providing utilities is shown here:
Month | Person-Nights booked | Cost |
Jul | 125 | $ 730.94 |
Aug | 110 | $ 598.95 |
Sep | 90 | $ 634.10 |
Oct | 88 | $ 554.82 |
Nov | 34 | $ 296.86 |
Dec | 25 | $ 233.97 |
Jan | 10 | $ 166.09 |
Feb | 39 | $ 339.30 |
Mar | 78 | $ 534.16 |
Apr | 65 | $ 489.02 |
May | 81 | $ 502.91 |
Jun | 105 | $ 608.50 |
Given the inn anticipates:
Customers | 50 |
Nights per customer | 2 |
Person-Nights | 100 |
Part A) Use regression analysis to separate the fixed and variable part of this mixed cost. You can use excel to do this, but I highly recommend using another program such as R.
Intercept | Slope | ||
Estimate | Estimate | ||
Standard error | Standard Error | ||
t statistic | t statistic |
Fixed Cost Estimate | |
Variable Cost Estimate |
Part B) What is the lowest price that Sleepy Hollow can charge for its rooms on average this month and still break even? Use cell references whenever possible.
Fixed Costs:
Variable Costs:
Total Fixed Costs:
Total Variable Costs:
Breakeven Price per room night:
Step by Step Solution
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There are 3 Steps involved in it
Step: 1
Part A Separating fixed and variable costs using regression analysis Step 1 Prepare the data MonthPersonNights bookedCost Jul125 73094 Aug110 59895 Sep90 63410 Oct88 55482 Nov34 29686 Dec25 23397 Jan1...Get Instant Access to Expert-Tailored Solutions
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Step: 2
Step: 3
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