As part of the settlement for a class action lawsuit, Hoxworth Corporation must provide sufficient cash to make the annual payments (in thousands of dollars) shown in Table 1.

The annual payments must be made at the beginning of each year. The judge will approve an amount that, along with earnings on its investment, will cover the annual payments. Investment of the funds will be limited to savings and two government securities shown in Table 2. All three are available to invest at the beginning of every year.

During the first 3 years (i.e., Year 1, Year 2 and Year 3),

a) the average risk index of invested funds cannot exceed 3;

b) the average years to maturity at the beginning of each year cannot exceed 2.5.

There are no risk or liquidity requirements for Years 4 to 6.

Solve this LP to minimize the initial amount needed.

Year	1	2	3	4	5	6
Payment	190	215	240	285	315	460

Investment	Yield (%) at Maturity	Years to Maturity	Risk Index
Savings (SV)	1.5	1	1
Security A (SA)	6.5	3	2
Security B (SB)	11	4	4

	Initial
	SV
Cash	SA
	SB
	Year	1	2	3	4	5	6
	SV
Investment	SA
	SB
	Payment