Excel Exam
Problem 1.
1. What advantages does selling books via the Internet provide over a traditional bookstore? Are there any disadvantages to selling via the Internet? Your Answer:
2. Should Amazon stock every product it sells? Your Answer:
3. What advantage can bricks-and-mortar players derive from setting up an online channel? How should they use the two channels to gain maximum advantage? Your Answer:
4. What advantages/disadvantages does the online channel enjoy in the sale of shoes /diapers relative to a retail store? Your Answer:
5. For what products does the online channel offer the greater advantage relative to retail stores? What characterizes these products? Your Answer:
Problem 2.1
| No Cooperation | Capacity= | 0 | ||||
| Sales | Leftover Capacity | Shortage | ||||
| Demand | Probability | Demand Satisfied | Extra Capacity | Deficient Capacity | Cumulative Probability | |
| 100 | 0.2 | 0 | 0 | 100 | 0.2 | |
| 200 | 0.3 | 0 | 0 | 200 | 0.5 | |
| 300 | 0.2 | 0 | 0 | 300 | 0.7 | |
| 400 | 0.3 | 0 | 0 | 400 | 1 | |
| E[sales] | E[left] | E[short] | ||||
| Exp.Value | 260 | Exp. Demand Satisfied | Exp. Extra Capacity | Exp. Capacity Deficiency | ||
| 0 | 0 | 260 | ||||
| Green's Selling Price | $ 45.00 | per unit | Green's Exp. Profit = | |||
| Green's purchase price | $ 15.00 | per unit | Whole's Exp. Profit = | |||
| Salvage Value | $ - 0 | per unit | ||||
| Supply Chain Exp. Profit = | ||||||
| Whole's Production Cost | $ 10.00 | per Unit | ||||
| Possible Capacity | Retailer Exp. Profit | Manufacturer Exp. Profit | Supply Chain Exp. Profit | |||
| Underage Cost cu= | 100 | |||||
| Overage Cost co= | 200 | |||||
| 300 | ||||||
| Critical Ratio = | 400 | |||||
Given the current information, how many units of products should Green stock to satisfy demand? What is the associated profit for Whole and Green, respectively? What is the profit for the supply chain in total? Your Answer:
Problem 2.2
| Cooperation | Capacity= | 0 | ||||
| Sales | Leftover Capacity | Shortage | ||||
| Demand | Probability | Demand Satisfied | Extra Capacity | Deficient Capacity | Cumulative Probability | |
| 100 | 0.2 | 0 | 0 | 100 | 0.2 | |
| 200 | 0.3 | 0 | 0 | 200 | 0.5 | |
| 300 | 0.2 | 0 | 0 | 300 | 0.7 | |
| 400 | 0.3 | 0 | 0 | 400 | 1 | |
| E[sales] | E[left] | E[short] | ||||
| Exp.Value | 260 | Exp. Demand Satisfied | Exp. Extra Capacity | Exp. Capacity Deficiency | ||
| 0 | 0 | 260 | ||||
| Green's Selling Price | $ 45.00 | per unit | ||||
| Green's purchase price | $ 15.00 | per unit | ||||
| Salvage Value | $ - 0 | per unit | ||||
| Supply Chain Exp. Profit = | ||||||
| Whole's Production Cost | $ 10.00 | per Unit | ||||
| Possible Capacity | Retailer Exp. Profit | Manufacturer Exp. Profit | Supply Chain Exp. Profit | |||
| Underage Cost cu= | 100 | |||||
| Overage Cost co= | 200 | |||||
| 300 | ||||||
| Critical Ratio = | 400 | |||||
If Whole and Green were one integrated company, how many units would be stocked? What is the associated profit for the supply chain? Your Answer:
Problem 2.3
3. Why is there a discrepancy between the previous two questions? What steps would you recommend to coordinate this supply chain? Your Answer:
Problem 3
| Mortgage arriving order arrival rate: | 40 | orders per day | working hours | 8 | hours per day | ||||
| Commerical Credie order arrival rate: | 20 | orders per day | working minutes | 480 | minutes per day | ||||
| Total aarival rate: | |||||||||
| Total Lead Time: | day | ||||||||
| Stage | Number of Clerks | Set-up Time | Processing Time | Processing Rate | Lead Time (read from Queue Template) | ||||
| Data Collection | 6 | 20 minutes | 10 minutes | orders per day | day | ||||
| Data Verification | 4 | 25 minutes | 3 minutes | orders per day | day | ||||
| Loan Pricing | 4 | 15 minutes | 10 minutes | orders per day | day | ||||
| Loan Closing | 4 | 4 minutes | 20 minutes | orders per day | day | ||||
| Loan Maintenance | 6 | 10 minutes | 20 minutes | orders per day | day |
Queue Template
| M/M/s queuing computations | lambda/mu | 0.9375 | s-1 | 0 | THE ARRIVAL RATE SHOULD BE LESS THAN THE OVERALL SERVICE RATE! | ||||||||||||||
| Arrival rate | 15 | Assumes Poisson process for | /s | 0.9375 | |||||||||||||||
| Service rate | 16 | arrivals and services. | 15 | s factorial = | 1 | ||||||||||||||
| Number of servers | 1 | (max of 40) | |||||||||||||||||
| P(0) = | 0.0625 | 0.9375 | 1 | ||||||||||||||||
| Utilization | 93.75% | P(n) | 1.0 | 1.0 | |||||||||||||||
| P(0), probability that the system is empty | 0.0625 | 0 | 1 | 0.0625 | 0.0625 | 1.0 | 1.0 | ||||||||||||
| Nq, expected queue length | 14.0625 | 1 | 0 | 0.05859375 | 0 | 1.0 | 1.0 | ||||||||||||
| N, expected number in system | 15.0000 | 2 | 0 | 0.0549316406 | 0 | 1.0 | 1.0 | ||||||||||||
| Lq, expected time in queue | 0.9375 | 3 | 0 | 0.0514984131 | 0 | 1.0 | 1.0 | ||||||||||||
| L, expected total time in system | 1.0000 | 4 | 0 | 0.0482797623 | 0 | 1.0 | 1.0 | ||||||||||||
| Probability that a customer waits | 0.9375 | 5 | 0 | 0.0452622771 | 0 | 1.0 | 1.0 | ||||||||||||
| 6 | 0 | 0.0424333848 | 0 | 1.0 | 1.0 | ||||||||||||||
| 7 | 0 | 0.0397812983 | 0 | 1.0 | 1.0 | ||||||||||||||
| 8 | 0 | 0.0372949671 | 0 | 1.0 | 1.0 | ||||||||||||||
| 9 | 0 | 0.0349640317 | 0 | 1.0 | 1.0 | ||||||||||||||
| 10 | 0 | 0.0327787797 | 0 | 1.0 | 1.0 | ||||||||||||||
| 11 | 0 | 0.030730106 | 0 | 1.0 | 1.0 | ||||||||||||||
| 12 | 0 | 0.0288094743 | 0 | 1.0 | 1.0 | ||||||||||||||
| 13 | 0 | 0.0270088822 | 0 | 1.0 | 1.0 | ||||||||||||||
| 14 | 0 | 0.0253208271 | 0 | 1.0 | 1.0 | ||||||||||||||
| 15 | 0 | 0.0237382754 | 0 | 1.0 | 1.0 | ||||||||||||||
| 16 | 0 | 0.0222546332 | 0 | 1.0 | 1.0 | ||||||||||||||
| 17 | 0 | 0.0208637186 | 0 | 1.0 | 1.0 | ||||||||||||||
| 18 | 0 | 0.0195597362 | 0 | 1.0 | 1.0 | ||||||||||||||
| 19 | 0 | 0.0183372527 | 0 | 1.0 | 1.0 | ||||||||||||||
| 20 | 0 | 0.0171911744 | 0 | 1.0 | 1.0 | ||||||||||||||
| 21 | 0.016116726 | 0 | 1.0 | 1.0 | |||||||||||||||
| 22 | 0.0151094306 | 0 | 1.0 | 1.0 | |||||||||||||||
| 23 | 0.0141650912 | 0 | 1.0 | 1.0 | |||||||||||||||
| 24 | 0.013279773 | 0 | 1.0 | 1.0 | |||||||||||||||
| 25 | 0.0124497872 | 0 | 1.0 | 1.0 | |||||||||||||||
| 26 | 0.0116716755 | 0 | 1.0 | 1.0 | |||||||||||||||
| 27 | 0.0109421958 | 0 | 1.0 | 1.0 | |||||||||||||||
| 28 | 0.0102583085 | 0 | 1.0 | 1.0 | |||||||||||||||
| 29 | 0.0096171642 | 0 | 1.0 | 1.0 | |||||||||||||||
| 30 | 0.0090160915 | 0 | 1.0 | 1.0 | |||||||||||||||
| 31 | 0.0084525858 | 0 | 1.0 | 1.0 | |||||||||||||||
| 32 | 0.0079242991 | 0 | 1.0 | 1.0 | |||||||||||||||
| 33 | 0.0074290305 | 0 | 1.0 | 1.0 | |||||||||||||||
| 34 | 0.006964716 | 0 | 1.0 | 1.0 | |||||||||||||||
| 35 | 0.0065294213 | 0 | 1.0 | 1.0 | |||||||||||||||
| 36 | 0.0061213325 | 0 | 1.0 | 1.0 | |||||||||||||||
| 37 | 0.0057387492 | 0 | 1.0 | 1.0 | |||||||||||||||
| 38 | 0.0053800774 | 0 | 1.0 | 1.0 | |||||||||||||||
| 39 | 0.0050438225 | 0 | 1.0 | 1.0 | |||||||||||||||
| 40 | 0.0047285836 | 0 | 1.0 | 1.0 | |||||||||||||||
| 1.0 | 1.0 | ||||||||||||||||||
| 1.0 | 1.0 | ||||||||||||||||||
| 1.0 | 1.0 | ||||||||||||||||||
| 1.0 | 1.0 | ||||||||||||||||||
| 1.0 | 1.0 | ||||||||||||||||||
| 1.0 | 1.0 | ||||||||||||||||||
| 1.0 | 1.0 | ||||||||||||||||||