Question
Jasmine Lee owns a catering company that serves food and beverages at exclusive parties and business functions. Lees business is seasonal, with a heavy schedule
Jasmine Lee owns a catering company that serves food and beverages at exclusive parties and business functions. Lees business is seasonal, with a heavy schedule during the summer months and holidays and a lighter schedule at other times.
One of the major events that Lees customers request is a graduation party. She offers a standard graduation party and has estimated the cost per guest for this party as follows:
Food and beverages ................................................ | $17.00 |
Labor (0.5 hour @ $10.00 per hour) ........................ | 5.00 |
Overhead (0.5 hour @ $6.38 per hour) ................... | 3.19 |
Total cost per guest................................................. | $25.19 |
This standard graduation party lasts three hours and Lee hires one worker for every six guests, which is one-half hour of labor per guest. These workers are hired only as needed and are paid only for the hours they actually work.
Lee ordinarily charges $39 per guest. She is confident about her estimates of the costs of food and beverages and labor, but she is not as comfortable with the estimate of overhead cost. The $6.38 overhead cost per labor-hour was determined by dividing total overhead expenses for the last 12 months ($220,500) by total labor-hours (34,560) for the same period.
Monthly data concerning overhead costs and labor-hours for the past 12 months appear below:
Month Labor Hours Overhead
January | 1,500 | $11,500 |
February | 1,680 | 12,500 |
March | 1,800 | 13,000 |
April | 2,520 | 16,000 |
May | 2,700 | 18,000 |
June | 3,300 | 18,000 |
July | 3,900 | 24,000 |
August | 4,500 | 26,500 |
September | 4,200 | 25,000 |
October | 2,700 | 17,500 |
November | 1,860 | 14,000 |
December | 3,900 | 24,500 |
Total | 34,560 | $220,500 |
Lee has received a request to bid on a 120-guest graduation party to be given next month by a well-known entrepreneur. (The party would last the usual three hours.) She would like to win this contract because the guest list for this charity event includes many prominent individuals that she would like to land as future clients. Lee is confident that these potential customers would be favorably impressed by her companys service at the event.
Required:
- Use Excels regression analysis tool to determine the variable overhead cost per hour and the total fixed overhead cost per month. Write the total cost formula (equation) for the overhead cost. Also identify the R-square value. Explain what the R-square value tells you about your total cost formula. (If you cannot add-in the Analysis tool pack for some reason, you can find the same information by either using a different statistical package like SAS, SPSS, Minitab or Stata, or you can use individual functions within Excel to determine the slope (Slope function), the Y-intercept (Intercept function), and the R-squared (RSQ function)).
- Estimate the contribution to profit of a standard 120-guest graduation party if Lee charges her usual price of $39.00 per guest. (In other words, by how much would her overall profit increase? Remember that fixed overhead cost will not be affected by Lees accepting this order.) Hint: find the contribution margin in dollars.
- How low could Lee bid for the upcoming graduation event, in terms of a price per guest, and still not lose money on the event itself? In other words, find breakeven dollars on a per unit basis.
- The individual who is organizing the upcoming graduation event has indicated that he has already received a bid under $35 per guest from another catering company. Do you think Lee should bid below her normal $39 per guest price for the event? Why or why not? Explain.
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