Professor Nutty holds office hours every day to answer stude…
Professor Nutty holds office hours every day to answer students’ questions. Students arrive at an average rate of 4 per hour. Professor Nutty can process students at an average rate of 6 per hour. Assume that all times are exponentially distributed. What is the average number of students waiting outside Professor Nutty’s office?
Read DetailsAssume now that the WP decided to focus only on the producti…
Assume now that the WP decided to focus only on the production of papers. Another firm (let’s call that firm “Ralph”) will be responsible for selling the papers to the customers. If the production cost of each paper is $0.2, the wholesale price is $0.7 the retail price is $1 and the demand is normally distributed with a mean of 550 and a standard deviation sigma (σ)=10 then, What is the optimal quantity of papers that Ralph should stock?
Read DetailsRalph and WP have decided to use a buyback coordinating mech…
Ralph and WP have decided to use a buyback coordinating mechanism. If the production cost of each paper is $0.2, the wholesale price is $0.7 the retail price is $1 and the demand is normally distributed with a mean of 550 and a standard deviation sigma (σ)=10 then, Which buyback price, b, would maximize the supply chain profit?
Read DetailsAssume that you are facing a newsvendor problem with normall…
Assume that you are facing a newsvendor problem with normally distributed demand with a mean and a standard deviation sigma (σ). The cost to order a unit is c and the revenue from each sold unit is p. Unsold items will be salvaged at no cost/revenue. What happens to the optimal order quantity when, all else being equal, p increases?
Read DetailsThe two figures below show optimal EOQ inventory policies fo…
The two figures below show optimal EOQ inventory policies for two different companies and for the same time horizon. Company X is on the left and Company Z is on the right. If both companies have the same annual demand, D, then on average, which of these companies holds less inventory for the same time horizon?
Read DetailsProfessor Nutty is considering entirely “outsourcing” office…
Professor Nutty is considering entirely “outsourcing” office hours to his TAs. In particular, he is thinking of hiring 3 TAs who will be responsible for addressing student questions. Students arrive at an average rate of 4 per hour, exponentially distributed. They queue outside the TA lounge and have their questions answered by the first available TA. Based on experience, Professor Nutty knows that the time it takes each TA to advise a student is on average 15 minutes with a standard deviation of 3 minutes. On average, what is the total number of students both inside and outside the TA lounge?
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