Question

Taylor’s is a popular restaurant that offers customers a large dining room and comfortable bar area. Taylor Henry, the owner and manager of the restaurant, has seen the number of patrons increase steadily over the last two years and is considering whether and when she will have to expand its available capacity. The restaurant occupies a large home, and all the space in the building is now used for dining, the bar, and kitchen, but space is available on the property to expand the restaurant. The restaurant is open from 6 p.m. to 10 p.m. each night (except Monday) and, on average, has 27 customers enter the bar and 52 enter the dining room during each of those hours. Taylor has noticed the trends over the last 2 years and expects that within about 4 years, the number of bar customers will increase by 50% and the dining customers will increase by 20%. Taylor is worried that the restaurant will be not be able to handle the increase and has asked you to study its capacity. In your study, you consider four areas of capacity: the parking lot (which has 82 spaces), the bar (56 seats), the dining room (102 seats), and the kitchen. The kitchen is well-staffed and can prepare any meal on the menu in an average of 12 minutes per meal. The kitchen, when fully staffed, is able to have up to 20 meals in preparation at a time, or 100 meals per hour (60 min/12 min × 20 meals).

To assess the capacity of the restaurant, you obtain the additional information: Diners typically come to the restaurant by car, with an average of 3 persons per car, while bar patrons arrive with an average of 1.5 persons per car. Diners, on average, occupy a table for an hour, while bar customers usually stay for an average of 2 hours. Due to fire regulations, all bar customers must be seated. The bar customer typically orders one drink per hour at an average of $9 per drink; the dining room customer orders a meal with an average price of $20; the restaurant’s cost per drink is $3, and the direct costs for meal preparation are $3.

Required: 1-a. Given the current number of customers per hour, what is the amount of excess capacity in the bar, dining room, parking lot, and kitchen? 1-b. Calculate the expected total throughput margin for the restaurant per day, and month (assuming a 26-day month). 2-a. Given the expected increase in the number of customers, determine if there is a constraint for any of the four areas of capacity. What is the amount of needed capacity for each constraint? 2-b. If there is a constraint, reduce the demand on the constraint so that the restaurant is at full capacity (assume some customers would have to be turned away). Calculate the expected total throughput margin for the restaurant per day, and month (assuming a 26-day month).

Answer 1

particulars	total capacity	no of customers	excess capacity
1. Bar	56*4 = 224	27*4=108	116
2. Dinning	102*4=408	52*4=208	200
3. Parking	82*4 = 328	106(notes)	222
4. kitchen	100*4 = 400	52*4=208	192

calculation of parking : dinning 52/3=17.33*4 = 69.32 = 70

bar 27 / 1.5 = 18*2 = 36 total 70+36 =106

1b. calculation of expected total throughput margin:

BAR one drink per hour thus 27 customers ordering one drink per hour = 27*4 = 108 drinks

one drink revenue = 9 and cost = 3 thus m argin = 6 thus total margin = 108*6 = 648

DINNING: one customer in dinning on average orders one dish as the customer in dining area stays for an average one hour thus we can say one customer orders one dish per hour this makes a total of 52*4 = 208 dishes per hour

margin per dish = 20-3 contribution per dish = 17 thus total margin of 208*17= 3536

throughput margin = 648+3536=4184.

2a. increased customer bar 50% dinning 20%

particulars	total capacity	no of customers	excess capacity
1. Bar	56*4 = 224	27*4=108*150%=162	62
2. Dinning	102*4=408	52*4=208*120%=250	158
3. Parking	82*4 = 328	138(notes)	190
4. kitchen	100*4 = 400	62.5*4=250	150

margin:

bar 162*6=972

250*17=4250

5222