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alternIcench company, is considering the following two equipment ives for the pl

ID: 1103949 • Letter: A

Question

alternIcench company, is considering the following two equipment ives for the plant in Tennessee. The cost information for the two achines are consideration are in table below. Machine X Initial cost Machine Y $ 80,000 Benefits/year $ 12for the first 6 9,000 $ 66000 ,000 per year for 20 years. next 10 Life years 10 years and 8,000 for the Salvage value $GOOOO MARR 20 years $ 20 OOOO 10% Find the NPW of machine v 2. Given the cash flows in table below. Determine the value of P. is 3% per year Year 0 1 2 3 145 Cash Flow P100 200 3OO 400 400 (

Explanation / Answer

(1)

NPW, Machine Y ($) = - 66,000 + 9,000 x PVIFA(10%, 20) + 20,000 x PVIF(10%, 20)

= - 60,000 + 9,000 x 8.5136 + 20,000 x 0.1486 = - 60,000 + 76,622 + 2,972

= 19,594

(2)

P = 100 x PVIF(3%, 1) + 200 x PVIF(3%, 2) + 300 x PVIF(3%, 3) + 400 x PVIF(3%, 4) + 400 x PVIF(3%, 5)

= 100 x 0.9709 + 200 x 0.9426 + 300 x 0.9151 + 400 x 0.8885 + 400 x 0.8626

= 97.09 + 188.52 + 274.53 + 355.4 + 345.04

= 1,260.58

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