Nick is considering buying a new bicycle. Here are his options: Bike A - costs $100. It has a 60% chance of breaking down in the next year. Bike B - costs $200. It has a 20% chance of breaking down in the next year. Bike C - costs $400. It has a 15% chance of breaking down in the next year. Which bike should Nick purchase based on expected utility theory of repair costs?

Nick is considering buying a new bicycle. Here are his options: Bike A - costs $100. It has a 60% chance of breaking down in the next year. Bike B - costs $200. It has a 20% chance of breaking down in the next year. Bike C - costs $400. It has a 15% chance of breaking down in the next year. Which bike should Nick purchase based on expected utility theory of repair costs?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter9: Decision Making Under Uncertainty

Section: Chapter Questions

Problem 37P

See similar textbooks

Similar questions

A swim club is designing a new pool to replace its old pool. The new pool would need to last for 10 years since the club is planning on relocating after 10 years. A concrete shell would cost $85,000 and last for all 10 years. Another option is to install a vinyl liner that would cost only $70,000 to install. However, the vinyl is not guaranteed to last for all 10 years, and it has a 40% chance of breaking down. Repair of the vinyl would cost $40,000 and would extend the life of the vinyl liner to the 10-year mark. If both options are acceptable to the swim club, which one minimizes cost? Support your answer with drawing a decision tree and provide your calculation.
A product design engineer must decide if a redundant component is cost justified in a certain system. The system in question has a critical component with a probability of 0.96 of operating. System failure would involve a cost of GH¢20,000. What is the probability that the system will fail? Probability of the system failing is Blank 1. Fill in the blank, read surrounding text.
A rural cooperative purchased a trencher at a cost of P230,500.00. It is estimated that the trencher will have a salvage value of P25,000.00 after digging 300,000 meters of irrigation canals. Determine the book value of the trencher after two years, if it was used to dig 50,000 meters on the first year and 75,000 meters on the second year. (Ans. P144,875.00)
Tesla engineering center is trying to decide whether to make or buy a part (#T-63NFT) in its transmission module. Purchasing the part would cost $1.50 each. If they design and produce it themselves, it will result in a per-unit cost of $0.75. However, the design investment would be $50,000. Further, they realize that for this type of part, there is a 30% chance that the part will need to be redesigned at an additional cost of $50,000. Regardless of whether they make or buy the part, Tesla will need 100,000 of these parts. Use decision trees analysis to calculate the expected monetary value (EMV) and make decision. Please draw a decision tree for analysis. What is the cost if Tesla decide to make the part but the part needs to be redesigned? What is the cost if Tesla decide to make the part and the part does not need to be redesigned? What is the EMV if Tesla decide to make the part? What is the EMV if Tesla decide to buy the part? How would the “30% chance for redesign” come from?…
An expensive piece of equipment is used in the masking operation for semiconductor manufacture.A capacitor in the equipment fails randomly. The capacitor costs $7.50, but if it burns out while the machine is in use, the production process must be halted. Here the replacement cost is estimated to be $150. Based on past experience, the lifetime distribution of the capacitor is estimated to be Number of Months Probability of of Service Failure 1 .08 2 .12 3 .16 4 .26 5 .22 6…
An entrepreneur has embarked on a project to use human hair in place of animal furs in a clothing line. The human hair is to be woven into cotton fabrics, to make a hybrid fabric, that can be used as a thermal insulating fabric (i.e., it keeps persons warm). To increase the probability of sales the hybrid fabric must be dyed in various colors. Provide advice to the entrepreneur on what approaches should/could be taken to dye the new hybrid fabric. In your advice discuss the requirements of the dyes to be used, why hair dyes would not be a good option and how the dye(s) you suggest would work in the application based on the structure/properties of the fabric.
2. A product design engineer must decide if a redundant component is cost-justified in a certain system. The system in question has a critical component with a probability of 0.98 of operating. System failure would involve a cost of $20000. For a cost of $100 a switch could be added that would automatically transfer the system to the backup in the event of failure. Should the backup be added if the backup probability is also 0.98?
Assume that a company is considering buying a new piece of equipment for $240,000 that would have a useful life of five years and no salvage value. The equipment would generate the following estimated annual revenues and expenses: Commissions Insurance Revenues $ 112,400 Less operating expenses: $ 15,000 5,000 48,000 30,000 98,000 $ 14,400 Depreciation Maintenance Net operating income Click here to view Exhibit 12B-1 and Exhibit 12B-2, to determine the appropriate discount factor(s) using the tables provided. The internal rate of return for this investment is closest to
Non-inventory goods were purchased and delivered on June 15, 2010. Several security interests exist in these goods. Which of the following security interests has priority over the others? Group of answer choices purchase money security interest perfected June 24, 2010 Security interest perfected June 20, 2010 Security interest attached June 15, 2010 Security interest in future goods attached on June 10, 2010
Your answer is partially correct. An independent contractor for a transportation company needs to determine whether she should upgrade the vehicle she currently owns or trade her vehicle in to lease a new vehicle. If she keeps her vehicle, she will need to invest in immediate upgrades that cost $5,200 and it will cost $1,300 per year to operate at the end of year that follows. She will keep the vehicle for 5 years; at the end of this period, the upgraded vehicle will have a salvage value of $3,800. Alternatively, she could trade in her vehicle to lease a new vehicle. She estimates that her current vehicle has a trade-in value of $9,800 and that there will be $4,100 due at lease signing. She further estimates that it will cost $2,900 per year to lease and operate the vehicle. The independent contractor's MARR is 11%. Compute the EUAC of both the upgrade and lease alternatives using the insider perspective. Click here to access the TVM Factor Table Calculator. 1943.56 EUAC(keep): $…
A shoe store manager received a claim letter from a disturbed customer that the shoes they had ordered were delivered in an unacceptable state. He needs to send a response to inform the sender about the company's decision. The manager doesn’t have to evaluate the situation nor review their policies before responding. He must focus on the solution and place the blame on the key person who is responsible for the act. Finally, he should let the customer know how the situation will be resolved. How many guideline/guidelines is/are not proper for responding when a third party is at fault? * A.One guideline is not proper B.Two guidelines are not proper C.Three guidelines are not proper D.Four guidelines are not proper E.All the guidelines are not proper
Consider a hybrid vehicle with a sticker price of $31,500. This vehicle will average 30 miles per gallon of gasoline. A tax credit of $1,500 for the hybrid vehicle effectively reduces its sticker price to $30,000. A comparably equipped gasoline-only vehicle will cost $28,000 and will average 25 miles per gallon of gasoline. Assuming an interest rate of 3% per year and a study period of five years, find the breakeven mileage per year between the hybrid vehicle and the gas-only vehicle. All other factors remain the same and assuming the gasoline costs $4.00 per gallon.