Explanation Given information: The cost of the machine is $12000. Taxes on the machine are $580, $464, and $290 at the end of year 1, 2 and 3. Re sell value at the end of three year is $5000. Rate of interest compounded annually is 7.75%. Option one is to buy machine pay taxes and sell at end of three years. Option two is to lease machine at $2650 initial cost and $2650 at end of each year. Calculation: The cost of the machine is $12000. Taxes on the machine are $580, $464, and $290 at the end of year 1, 2 and 3. Re sell value at the end of three year is $5000. Rate of interest compounded annually is 7.75%. Option one is to buy machine pay taxes and sell at end of three years. Option two is to lease machine at $2650 initial cost and $2650 at end of each year. Case 1. In case of buying machine the amount required is given by A 1 A 1 = 12000 + 580 + 464 + 290 − 5000 A 1 = 8334 Case 2. In case of leasing the machine the amount required is given by A 2 A 2 = 2650 + 2650 ( 1 + 7.75 100 ) − 3 + 2650 ( 1 + 7.75 100 ) − 2 + 2650 ( 1 + 7.75 100 ) − 1 A 2 = 2650 * ( 1 + ( 1 + 7.75 100 ) − 3 + ( 1 + 7.75 100 ) − 2 + ( 1 + 7

6th Edition

ISBN: 9781119399322

Author: Hughes-Hallett

Publisher: WILEY

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Question

Chapter 1.7, Problem 53P

To determine

To deduce:

Whether to buy or lease the machine based on given option using various mathematical methodologies.

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Chapter 1.7, Problem 52P

Chapter 1.7, Problem 54P

Chapter 1 Solutions

APPLIED CALCULUS (WILEY PLUS)

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To deduce: Whether to buy or lease the machine based on given option using various mathematical methodologies.

Solution Summary: The author deduces whether to buy or lease the machine based on given option using various mathematical methodologies.