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Chapter 2: Q. 10-2OQ (page 253)
If the average time between customer arrivals is eight minutes, what is the hourly arrival rate?
A number is calculated by including amounts together and partitioning the entire by the number of amounts.
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A psychological therapist treats patients according to their individual needs. Patients are all treated in the same office on a scheduled basis. Each patient鈥檚 treatment is developed and customized for the individual according to the therapist鈥檚 professional training. Which of the contrasting service designs in the chapter would best describe the therapist鈥檚 service operation?
The desired daily output for an assembly line is 360 units. This assembly line will operate for 450 minutes per day. The following table contains information on this product鈥檚 task times and precedence relationships:
TASK | Task Time (Seconds) | Immediate Predecessor |
A | 30 | - |
B | 35 | A |
C | 30 | A |
D | 35 | B |
E | 15 | C |
F | 65 | C |
G | 40 | E, F |
h | 25 | D, G |
a. Draw the precedence diagram.
b. What is the workstation cycle time required to produce 360 units per day?
c. Balance this line using the largest number of following tasks. Use the longest task time as a secondary criterion.
d. What is the efficiency of your line balance, assuming it is running at the cycle time from part (b)?
To support National Heart Week, the Heart Association plans to install a free blood pressure testing booth in El Con Mall for the week. Previous experience indicates that, on average, 10 persons per hour request a test. Assume arrivals are Poisson distributed from an infinite population. Blood pressure measurements can be made at a constant time of five minutes each. Assume the queue length can be infinite with FCFS discipline.
e.On weekends, the arrival rate can be expected to increase to over 12 per hour. What effect will this have on the number in the waiting line?
An assembly line is to operate eight hours per day with the desired output of 240 units per day. The following table contains information on this product鈥檚 task times and precedence relationships:
Task | Task Time (seconds) | Immediate predecessor |
A | 60 | - |
B | 80 | A |
C | 20 | A |
D | 50 | A |
E | 90 | B,C |
F | 30 | C,D |
G | 30 | E,F |
H | 60 | G |
A firm is selling two products, chairs and bar stools, each at \(50 per unit. Chairs have a variable cost of \)25, and bar stools \(20. Fixed cost for the firm is \)20,000.
a.If the sales mix is 1:1 (one chair sold for every bar stool sold), what is the break-even point in dollars of sales? In units of chairs and bar stools?
b.If the sales mix changes to 1:4 (one chair sold for every four bar stools sold), what is the break-even point in dollars of sales? In units of chairs and bar stools?
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