Consider a process with two steps connected by an infinite-size buffer. The step before the buffer can process 80 units per hour whereas the step after the buffer can process 40 units per hour. The demand for processing arrives at a constant rate of 60 units per hour starting at 8:00AM. The two steps start to work simultaneously at 8:00AM. Which of the following statements is/are valid?

Group of answer choices

(d) There will be 200 units in the buffer after 5 hours of processing

(b) and (d)

(a) and (c)

(b) The flow-rate of the process is 60 units per hour

(a) The flow-rate of the process is 40 units per hour

(a) and (d)

(c) There will be 100 units in the buffer after 5 hours of processing

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Suppose a large family consumes eggs at a stable rate of 5 cartons per month. The cost of each shopping trip is $2. The cost of holding one carton of eggs is $0,20/carton/month. How many cartons of eggs should the family buy each time to minimize the cost of inventory of eggs while having enough to consume per month?

Group of answer choices

5

around 54

None of the above

10

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The airport branch of a car rental company maintains a fleet of 50 SUZs (Jeep, Land Rover etc.) At the current price of $80/day for the SUVs, the inter-arrival time between requests for an SUV is 2.4 hours, on average, with a standard deviation of 2.4 hours. An SUV is rented on the average for 3 days with a standard deviation of 1 day. If the price was reduced to $55/day, the inter-arrival time between requests will decrease to 2.0 hours with a standard deviation of 2.0 hours. Customers will increase the time that they rent the SUV to 4 days with a standard deviation of 1 day. Is the price decrease warranted?

Group of answer choices

Maybe

Not enough information to answer this question

No

Yes