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1. A project will have a benefit of $50350 with disbeneffts of $20.800 in year 0? Project wl have annual costs of $8.000 real
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Answer #1

The benefits in year 0 is $50,350.

So, the present worth of benefits is $50,350.

The disbenefits in year 0 is $20,800

So, the present worth of dis-benefits is $20,800.

Annual cost = $5,000

Calculate the Present Worth of annual cost -

PWac = $5,000 (P/A, 10%, 8) = $5,000 * 5.3349 = $26,674.50

The present worth of annual cost is $26,674.50

Savings to be realized in year 8 = $8,000

Calculate the Present Worth of savings -

PWs = $8,000 (P/F, 10%, 8) = $8,000 * 0.4665 = $3,732

The present worth of savings is $3,732

Calculate the Conventional B/C ratio -

Conventional B/C ratio = [PWB - PWDB]/[PWAC - PWS]

Conventional B/C ratio = [$50,350 - $20,800]/[$26,674.50 - $3,732]

Conventional B/C ratio = 1.288

Thus,

The conventional B/C ratio is closest to 1.30.

Hence, the correct answer is the option (c).

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