A producer of pocket calculators estimates that the calculators fail at a rate of oneevery five years. The calculators are sold for $25 each with a one-year freereplacement warranty but can be purchased from an unregistered mail-ordersource for $18.50 without the warranty. Is it worth purchasing the calculator withthe warranty?

A producer of pocket calculators estimates that the calculators fail at a rate of oneevery five years. The calculators are sold for $25 each with a one-year freereplacement warranty but can be purchased from an unregistered mail-ordersource for $18.50 without the warranty. Is it worth purchasing the calculator withthe warranty?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter11: Simulation Models

Section: Chapter Questions

Problem 65P

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A producer of pocket calculators estimates that the calculators fail at a rate of one every five years. The calculators are sold for $25 each with a one-year free replacement warranty but can be purchased from an unregistered mail-order source for $18.50 without the warranty. What length of period of the warranty equates the replacement costs of the calculator with and without the warranty?
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.
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