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 %