Respuesta :
Answer:
The AW value of the defender is:________ $15,729.
Explanation:
a) Data and Calculations:
Defender Challenger
Current MV $39,000 Purchase price $50,000
Required upgrade $2,300 Installation cost $5,000
Annual expenses $1,600 Annual expenses $1,000
Remaining useful life 6 years Useful life 10 years
MV at end of useful life -$1,500 MV at end of useful life $7,000
Investment = $39,000 + $2,300 Investment = $50,000 + $5,000
= $41,300 = $55,000
Present Value = ($41,300 + Present Value = ($55,000 +
$1,600 x 2.951) = $46,021.60 $1,000 x 3.571) = $58,571
$46,022 + $393 ($1,500 x .262) $58,571 - $749 ($7,000 x .107)
Equivalent Annual Cost Equivalent Annual Cost
= $46,415/ 2.951 = $57,822/3.571
= $15,729 = $16,192
The robots' Equivalent Annual Costs (or Average Weighted Value) are the total costs of owning, operating, and maintaining the robots for 6 years and 10 years respectively. For the old robot, additional cost of $1,500 will be incurred to retire the asset, while the new robot will have a salvage value of $7,000. These are factored into the equivalent annual costs, after discounting them to their present values.
Whenever an existing piece of equipment is considered for replacing by a new piece of equipment, the old piece is referred to as the defender, and the new piece of equipment is referred to as the challenger.
The AW value of the defender is------------$15,729.
a) Data and Calculations:
Defender Challenger
Current MV -------$39,000 Purchase price-------$50,000
Required upgrade----------$2,300 Installation cost------$5,000
Annual expenses-----------$1,600 Annual expenses -------$1,000
Remaining useful life--------6 years Useful life ------10 years
MV at end of useful life------$1,500 MV at end of useful life--$7,000
Investment--------- $39,000 + $2,300 Investment = $50,000 + $5,000
= $41,300 = $55,000
Present Value = ($41,300 + Present Value = ($55,000 +
[tex]\$1,600 \times 2.951[/tex]) = $46,021.60 [tex]\$1,000 \times3.571[/tex]) = $58,571
$46,022 + $393 [tex](\$1,500 \times .262)[/tex] $58,571 - $749 ([tex]\$7,000 \times .107[/tex])
Equivalent Annual Cost Equivalent Annual Cost
= [tex]\frac{\$46,415}{ 2.951}[/tex] = [tex]\frac{\$57,822}{3.571}[/tex]
= $15,729 = $16,192
The overall expenses of owning, operating, and maintaining the robots for 6 - 10 years, correspondingly, are the Equivalent Annual Costs (or Average Weighted Value).
The old robot will incur an additional cost of $1,500 to retire it, but the new robot will have a salvage value of $7,000. After discounting to the current value, these are included in the comparable yearly expenses.
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