Respuesta :
Answer:
Single stage construction
PW of Cost = $22,400,000 + 100,000(P/A, 4%, 25)
PW of Cost = $22,400,000 + 100,000(15.622)
PW of Cost = $22,400,000 + $1,562,200
PW of Cost = $23,962,200
Tow stage construction
PW of cots = $14,200,000 + $75,000(P/A, 4%, 25) + $12,600,000(P/F, 4%, 25)
PW of cost = $14,200,000 + $75,000(15.622) + $12,600,000(0.3751)
PW of cost = $14,200,000 + $1,171,650 + $4,726,260
PW of cost = $20,097,910
Conclusion: We should choose two stage construction as it has lesser Present worth of cost.
Here we preferred two stage construction as it has lesser Present worth of cost.
Calculation of the selection of the construction plan:
For Single stage construction
PW of Cost = $22,400,000 + 100,000(P/A, 4%, 25)
= $22,400,000 + 100,000(15.622)
= $22,400,000 + $1,562,200
= $23,962,200
Now
For Tow stage construction
PW of cots = $14,200,000 + $75,000(P/A, 4%, 25) + $12,600,000(P/F, 4%, 25)
= $14,200,000 + $75,000(15.622) + $12,600,000(0.3751)
= $14,200,000 + $1,171,650 + $4,726,260
= $20,097,910
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