SCMG 332 Connect Questions

A machine does three setups per production cycle. Each setup requires 15 minutes. The processing time is .75 minutes. What batch size achieves a capacity of 40 units per hour?

2/3 unit per min x 45 min [ 1 - (2/3 units per min x 3/4 min per unit)] = 60 units

Consider a four-step serial process with the number of workers at each step and processing times given in the list below. Step # Workers Time/Customer 1 1 5 2 5 15 3 3 10 4 1 3 Assuming that the process starts out empty and is worker-paced, how long will it take (in minutes) to serve 20 customers?

5/1 = 5 minutes/customer 15/5 = 3 minutes/customer 10/3 = 3.33 minutes/customer 3/1 = 3 minutes/customer 19 x 5 = 95 minutes 95 minutes + 5 + 15 +10 + 3 = 128 minutes

Consider a four-step serial process with processing times given in the list below. There is one machine at each step of the process, and this is a machine-paced process. Step 1: 25 minutes per unit Step 2: 15 minutes per unit Step 3: 30 minutes per unit Step 4: 20 minutes per unit Assuming that the process starts out empty, how long will it take (in hours) to complete a batch of 105 units?

54 hours 25 + 15 + 30 + 20 = 90 minutes 1 hour and 30 minutes 104 x 30 minutes = 3120 minutes 3120 / 60 = 52 hours 52 hours + 1 hr and 30 min = 53 hours and 30 min

There are four steps in the manufacturing process of a stuffed toy: cutting, stuffing, sealing, and packaging. There are two employees each for cutting and stuffing but one each for sealing and packaging. The processing times of cutting, stuffing, sealing, and packaging are 8, 5, 3, and 2 seconds per toy. Assuming demand is unlimited, how long does it take (in seconds) to produce 2000 toys starting with an empty system?

8/2 = 4 5/2 = 2.5 4 x 1999 = 7996 7996 + 8 + 5 + 3 + 2 = 8014

The consulting company must hire 15 new associates per year to replace those who have left the company for other positions or have retired. The company employs 120 associates overall. How long is the average associate employed at the consulting company? (years)

I = R x T I = 120 R = 15 new associates per year 120 = 15 x T T = 8 years

Consider the baggage check-in process of a small airline. Check-in data indicates that from 9 AM to 10 AM, 240 passengers checked in. Moreover, based on counting the number of passengers waiting in line, airport management found that the average number of passengers waiting for check-in was 30 minutes. How long did the average passenger have to wait in line? (minutes)

I = R x T I = 30 passengers R = 240 passengers / 60 minutes = 4 minutes 30 = 4 x T T = 7.5 minutes

The table below provides the time stamps for the 8 people who called a reservation desk for a ferry service between 8.00 AM and 8.20 AM. Based on the data in the table, what is the flow rate of callers? Caller Time In Time Out 1 8:01 8:05 2 8:02 8:07 3 8:06 8:08 4 8:09 8:12 5 8:10 8:15 6 8:12 8:20 7 8:16 8:19 8 8:17 8:19 Flow rate of callers (per minute)

I = R x T I = 8 people T = 20 minutes 8 = F x 20 R = .4 per minute

A Rhode Island company produces communion wafers for churches around the country and the world. The little company produces a lot of wafers, several hundred million per year. When in production, the process produces wafers at the rate of 100 per second. During this production process the wafers must spend 15 minutes passing through a cooling tube. How many wafers does the cooling tube hold on average when in production (in other words, don't count the time they are not in production)

I = R x T R = 100 wafers per second x 60 = 6000 wafers per minute T = 15 minutes I = 6000 x 15 I = 90000 wafers

A large-scale bakery is laying out a new production process for their packaged bread, which they sell to several grocery chains. It takes 12 minutes to bake the bread. How large of an oven is required so that the company is able to produce 4,200 units of bread per hour (measured in number of units that can be baked simultaneously)?

I = R x T R = 4200 units of bread per hour T = 12 minutes 4200 / 60 = 70 units of bread per minute I = 70 x 12 I = 840

A campus deli serves 300 customers over its busy lunch period from 11.30 am to 1.30 pm. A quick count of the number of customers waiting in line and being served by the sandwich makers shows that an average of 10 customers are in process at any point in time. What is the average amount of time that a customer spends in process?

I = R x T I = 10 customers R = 300 / 120 = 2.5 10 = 2.5 x T T = 4 Average amount of time = 4.0 minutes

A popular roller coaster ride lasts 10 minutes. There are 20 people on average on the roller coaster during peak time. How many people are stepping onto the roller coaster per minute at peak time? a. 2 b. 5 c. 10 d. 20

I = R x T I = 20 people T = 10 minutes 20 = R x 10 R = 2

On average, a patient spends 5 minutes waiting and 15 minutes being treated at C&A Clinic. Given the average number of patients waiting and being treated at C&A Clinic is 50, what is the average number of patients coming through the clinic per minute on a typical day? a. 2.5 b. 20 c. 50 d. Cannot be determined

I = R x T I = 50 patients T = 5 minutes waiting + 15 minutes being treated = 20 minutes 50 = R x 20 R = 2.5 patients per minute

The table below provides the time stamps for the 8 people who called a reservation desk for a ferry service between 8.00 AM and 8.20 AM. Based on the data in the table, what is the flow time of callers? Caller Time In Time Out 1 8:01 8:05 2 8:02 8:07 3 8:06 8:08 4 8:09 8:12 5 8:10 8:15 6 8:12 8:20 7 8:16 8:19 8 8:17 8:19 Flow time of callers (minute)

Time In Time Out 8:01 8:05 0:04 8:02 8:07 0:05 8:06 8:08 0:02 8:09 8:12 0:03 8:10 8:15 0:05 8:12 8:20 0:08 8:16 8:19 0:03 8:17 8:19 0:02 0:32 32 minutes / 8 people = 4 minutes

Inventory tells us: a. The number of flow units within a process b. The rate at which flow units move through a process c. The time a flow units spends in a process d. The time a flow unit starts a process

a.

Two retailers compete on costs and ambience of the retail store. They are identical on all other dimensions of customer utility. Retailer A is cheaper than retailer B. Retailer A also has the better ambience. Does this mean that retailer A is on the efficient frontier? a. Yes b. No

a.

Utility is composed of the following components EXCEPT: a. Customer loyalty b. Price c. Inconvenience d. Consumption utility

a.

For the purpose of process analysis, which of the main measures would be considered an appropriate flow unit for analyzing the main operation of a gas station? You may select more than one answer. a. Sales dollars b. Number of gasoline pumps c. Number of employees working per day d. Number of customers served per day

a. d.

Consider the following production process for manufacturing biscuits. The following table summarizes the production process along with the processing times at each step of the process. The process is highly automated, so assume that this is a machine-paced process with one machine available at each step Process step Activity time Mixing 15 Forming 10 Baking 12 Cooling 18 Packing 10 a. What is the capacity of the baking process step (in batches per hour) b. What is the bottleneck of the manufacturing process? c. Assuming unlimited demand, what is the process flow rate (in batches per hour)? d. Assuming unlimited demand, what is the utilization of the mixing process step? e. If the manufacturing process is currently full of work-in-process inventory, how long would it take to complete 50 batches of biscuit?

a. Capacity = # of workers / processing time = 1 / 12 = .0833 x 60 minutes = 4.999 = 5 batches/hour b. Bottleneck = lowest capacity Cooling: 18 minutes c. Flow rate = Min [Demand, Process Capacity] = 1 / 18 = 0.055 x 60 minutes = 3.33 batches/hr d. Utilization = Flow rate / resource capacity = 0.055 / 0.067 = 83% e. 50 x 18 minutes = 900 minutes 900 / 60 = 15 hours

Consider a process consisting of three resources. Assume there exists unlimited demand for the product. Resource 1 has a processing time of 6 minutes per unit. Resource 2 has a processing time of 3 minutes per unit. Resource 3 has a processing time of 5 minutes per unit. All three resources are staffed by one worker. a. What is the capacity of resource 2? b. What is the bottleneck in the process? c. What is the utilization of resource 2? d. How long does it take the process to produce 200 units starting with an empty system, assuming this is a worker-paced process?

a. Capacity = # of workers / processing time = 1 / 3 = 0.333 b. Bottleneck = minimum capacity Capacity: Resource 1 = 0.167 Resource 2 = .333 Resource 3 = .200 Bottleneck = Resource 1 c. Utilization = flow rate / process capacity = 0.167 / .333 = 50% d. 6 + 3 + 5 = 14 minutes 199 x 6 minutes = 1,194 = 14 + 1,194 = 1,208

A small mortgage lender has one receptionist, four loan officers, and two office managers. When applicants apply for a new loan in person, they first fill out paperwork with the receptionist. Then the applicants meet with one of the loan officers to discuss their needs. The loan officer spends additional time processing the application after the applicants leave the office. Finally, the application must be reviewed by an office manager before it can be approved. The following table lists the processing times at each stage. The office is open for eight hours per day, five days per week. Resources Staffing Hrs/Loan Receptionist 1 1 Loan officers 4 7 Office managers 2 4 a. What is the bottleneck of the process? b. Assuming unlimited demand, what is the process flow rate (in loans per week)? c. If the customer demand is 18 loans per week, what is the utilization of the office managers resource? d. Assuming that the office currently has no backlog of loans that it is processing, how long will it take to complete 10 loans?

a. Office managers Capacity: Receptionist = 1 loan/hr Loan officer = .57 loan/hr Office mngr = .5 loan/hr b. Flow rate = Min [Demand, Process Capacity] Process capacity = .5 .5 x 8 hrs x 5 days = 20 loans c. Flow rate = Min [Demand, Process Capacity] Demand = 18 Utilization = Flow Rate / Process capacity = 18 / 20 = 90% d. 1 + 7 + 4 = 12 hours 9 x (2 hours) = 18 hours 18 hrs + 12 hrs = 30 hrs

A suburb of Dayton, Ohio, has four local dry cleaners which compete with each other on the basis of price and service speed. Each of them can perform the basic services at the same level of quality. The table below provides the price that each dry cleaner charges to clean a two-piece suit as well as the quoted number of days that the service will take. Dry Cleaner Price # of Days A $8.00 3 B $9.50 3 C $9.00 2 D $7.50 4 Which of these dry cleaners are NOT on the efficient frontier? a. A b. B c. C d. D

b.

Firm A Pareto dominates firm B means that firm A's product or service is inferior to that of firm B on all dimensions of the customer utility function. a. True b. False

b.

Flow rate tells us: a. How much stuff is in the process b. How much stuff moves through the process per unit of time c. How much time stuff spends in the process d. How much stuff is needed for the process

b.

Over the course of a day, fans pour into a NASCAR venue at the rate of 8,000 people per hour. The rate at which fans leave the venue a. Must be less than 8,000 people per hour b. Must be exactly 8,000 people per hour c. Must be more than 8,000 people per hour d. Could be more or less than 8,000 people per hour

b.

The efficient frontier is given by the cheapest company in the industry. a. True b. False

b.

There can be no more than two firms on the efficient frontier. a. True b. False

b.

There are four hotels competing with otherwise very similar products on the dimensions of price ($ per night) and amenities (measured by the number of stars (*) awarded by customer reviews) Which of these hotels are on the efficient frontier? a. Hotel A: price = $200 per night; rating: *** b. Hotel B: price = $150 per night; rating: **** c. Hotel C: price = $300 per night; rating: ***** d. Hotel D: price = $80 per night; rating **

b. c. d.

The bottleneck is the resource with the longest processing time. a. True b. False

b. Capacity is also determined by the number of employees working at the resource

A customer's desire for a product or service is measured by its: a. Popularity b. Costs c. Utility d. Advertisement

c.

Flow time tell us: a. The number of flow units within a process b. The rate at which a flow unit moves through a process c. The time a flow unit spends in a process d. The time a flow unit starts a process

c.

A firm that offers tailor-made suits to its customers is appealing to the _______________________ dimension of the customers' utility function a. Timing b. Location c. Performance d. Fit

d.