Answer:
Method B should be used on the basis of a present worth analysis.
Step-by-step explanation:
Given - Two methods can be used to produce expansion anchors.
Method A costs $70,000 initially and will have a $19,000
salvage value after 3 years. The operating cost with this method
will be $29,000 in year 1, increasing by $3800 each year.
Method B will have a first cost of $109,000, an operating cost of
$9000 in year 1, increasing by $9000 each year, and a $39,000
salvage value after its 3-year life.
To find - At an interest rate of 9% per year, which method should be used
on the basis of a present worth analysis?
Proof -
Method A :
Year Initial Cash Net cash Discount Present value
Investment Outflow flow rate
0 70,000 - 70,000 1 70,000
1 29,000 29,000 0.917 26,593
2 32,800 32,800 0.842 27,617.6 3 -19,000 36,600 17,600 0.772 13,587.2
Present Worth $137,797.8
Method B :
Year Initial Cash Net cash Discount Present value
Investment Outflow flow rate
0 109,000 - 109,000 1 109,000
1 9,000 9,000 0.917 8253
2 18,000 18,000 0.842 15,156
3 -39,000 27,000 -12,000 0.772 -9,264 Present Worth $123,145
∴ we get
Present Worth of A = $137,797.8
Present Worth of B = $123,145
Now,
As the present worth is low in Method B, so Method B should be used.