# Engineering Economy Problems

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เลขประจำตัว....................................Sec….1
Engineering Economy Problems II
1. Find the value of x such that the positive cash flows will be exactly
equivalent to the negative cash flows if interest rate is 15% per year
( 2,277.23 )
\$ 800
1 2
\$800
1,200
\$800
888800
1,000
3 4 5 6 7 8
9
10
Year
0
\$ 500
x
2x
Solution:
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2. Find the value of x in the diagram below that would make the equivalent
present worth of the cash flow equal to \$22,000, if the interest rate is 15% per
year. ( 91,373.23 )
P = \$ 22,000
x
A = \$ 950
1 2 3 4 5 6 7 8 9 10 11
0
Year
Solution:
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2
3. Find the value of G in the diagram below that would make the income stream
equivalent to the disbursement stream, using an interest rate of 20% per year.
(1,457.17)
A = \$200
22200600
0
1 2 3 4 5 6 7
8 9 10 11 12
12
G
Year
2G
3G
4G
Solution:
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4. Solve for the value of G such that the left cash-flow diagram is equivalent to the
one on the right. Use an interest rate of 12% per year. (877.60)
\$7,000
4G
\$1,000
G
2G
3G
Year
0 1 2 3 4 5 6
0 1 2 3 4 5 6 7
Solution:
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Year
3
5. Solve for the value of x, using an interest rate of 12% per year. (789.24)
0 1 2 3 4 5
Year
=
0 1 2 3 4 5 6
x X+5
\$1,300
X+100
X +150
X +200X +250
X +300
Solution:
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6. For the diagram shown below, find the value of x that will make the negative
cash flows equal to the positive of \$800 at time 0. Assume i = 15% per year.
(818.68)
\$800
0
1 2 3 4
\$100
Year
\$150
\$200
X
Solution:
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4
7. Find the future worth (on month 9) of the cash flow shown in the figure below,
using an interest rate of 1% per month. ( 5,141.64 )
F=?
0
1 2 3 4 5 6 7
\$800
\$900
8
9
\$1,000
\$1,100
\$1,200
Solution:
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8. Find the present worth of the cash flow shown below at i = 20% per year.
(950 )
\$ 150
\$ 200
\$ 250
\$ 300
\$ 100
0
1 2 3 4
\$ 250
\$ 200
\$ 150
\$ 100
5 6 7 8 9 10 11 12 13
Year
Solution:
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5
9. Find the present worth of the cash flow shown below at i = 20% per year.
( - 4,548.45 )
\$700
\$200
0 1
2
3
4
5
6
7
8 9
10
Year
\$300
\$1,000
\$800
\$1,200
\$1,400
\$1,600
\$1,300
\$1,800
Solution:
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10. Compute the present worth and future worth of the cash flows shown below if
i = 16%. ( -19,869.48)
0 1
2
3
4
5
6
7
8
9
10
Year
\$1,000
\$1,500
\$2,000
\$2,500
\$3,000
Solution:
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6
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