Herbes de Provence produces jams, jellies and oils using their home-grown herbs. They are planning...
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Herbes de Provence produces jams, jellies and oils using their home-grown herbs. They are planning to expand their product line to include soaps, shampoos, lotions, and other personal care products featuring their herbs. Construction of the new facility will cost $450,00. The end-of-month payment schedule is provided below along with the different start-of-month investment options for creating a sinking fund to meet the payments.
Formulate an LP to meet the required schedule while placing the least amount of money into the sinking fund. Do NOT solve.
Payment schedule:
End of month:
1
2
3
4
5
6
7
Amount due ($1000s)
$150
$0
$100
$0
$75
$75
$50
Investments available:
Investment
Available start of month:
Months to Maturity
Yield at Maturity (end of month)
A
1
7
10.5 %
B
1, 3
5
6.1 %
C
1, 4
4
5.5 %
D
1, 3, 5
3
4.7 %
E
1, 2, 3, 4, 5, 6, 7
1
3.6 %
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