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In: Economics

From the beneath table find best B/C ratio. Assume the program period for each is six...

From the beneath table find best B/C ratio.

Assume the program period for each is six year and interest rate is 6%.

Program

Initial cost year 0

Annual cost year 2 through 6

Estimated benefits year 2 through 6

1

700,000

350,000

542,433

2

2,200,000

500,000

1.084,867

3

1,200,000

140,000

433,947

Solutions

Expert Solution

Program

1

2

3

Initial cost year 0

700,000

2,200,000

1,200,000

Annual cost year
2 through 6

350,000

500,000

140,000

Estimated benefits
year 2 through 6

542,433

1,084,867

433,947

Net Annual Benefits
year 2 through 6

(Annual Benefits – Annual Cost)

192,433

584,867

293,947

Benefit – Cost Ratio

1.09

1.06

0.97

Program period for each is six year and interest rate is 6%.

B/C Ratio using PW Method = PW of Benefits / Initial cost

Programme – 1

B-C Ratio = 192,433 (P/A, 6%, 5) (P/F, 6%, 1) / 700,000

B-C Ratio = 192,433 (4.2124) (0.9434) / 700,000

B-C Ratio = 1.09

Programme – 2

B-C Ratio = 584,867 (P/A, 6%, 5) (P/F, 6%, 1) / 2,200,000

B-C Ratio = 584,867 (4.2124) (0.9434) / 2,200,000

B-C Ratio = 1.06

Programme – 3

B-C Ratio = 293,947 (P/A, 6%, 5) (P/F, 6%, 1) / 1,200,000

B-C Ratio = 293,947 (4.2124) (0.9434) / 1,200,000

B-C Ratio = 0.97

Decision – The best benefit cost ratio is 1.09 of Programme – 1


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