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Show me the steps to solve As part of the settlement for a class action lawsuit, Hoxworth Corporation must provide sufficient cash to make the

Show me the steps to solve As part of the settlement for a class action lawsuit, Hoxworth Corporation must provide sufficient cash to make the following annual payments (in thousands of dollars):
Year 123456
Payment 195220270320350470
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 (at 3.5% annually) and government securities, at prices and rates currently quoted in The Wall Street Journal.
Hoxworth wants to develop a plan for making the annual payments by investing in the following securities (par value = $1000). Funds not invested in these securities will be placed in savings.
Security Current Price Rate (%) Years to Maturity
1 $10456.853
2 $10005.5254
Assume that interest is paid annually. The plan will be submitted to the judge and, if approved, Hoxworth will be required to pay a trustee the amount that will be required to fund the plan.
Use linear programming to find the minimum cash settlement necessary to fund the annual payments.
Let
F = total funds required to meet the six years of payments
G1= units of government security 1
G2= units of government security 2
Si = investment in savings at the beginning of year i
Note: All decision variables are expressed in thousands of dollars.
If required, round your answers to five decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)
Min F
s.t.
fill in the blank 1
470,000
F + fill in the blank 2
1,045
G1+ fill in the blank 3
1,000
G2+ fill in the blank 4
1.035
S1= fill in the blank 5
195
fill in the blank 6
1,045
G1+ fill in the blank 7
1,000
G2+ fill in the blank 8
1.035
S1+ fill in the blank 9
1.035
S2= fill in the blank 10
220
fill in the blank 11
1,045
G1+ fill in the blank 12
1,000
G2+ fill in the blank 13
1.035
S2+ fill in the blank 14
1.035
S3= fill in the blank 15
270
fill in the blank 16
1,045
G1+ fill in the blank 17
1,000
G2+ fill in the blank 18
1.035
S3+ fill in the blank 19
1.035
S4= fill in the blank 20
320
fill in the blank 21
1,000
G2+ fill in the blank 22
1.035
S4+ fill in the blank 23
1.035
S5= fill in the blank 24
350
fill in the blank 25
1.035
S5+ fill in the blank 26
1.035
S6= fill in the blank 27
470
Round your answer to the nearest dollar. If an amount is zero, enter "0".
Current investment required $ fill in the blank 28
Investment in government security 1 $ fill in the blank 29
1,045
Investment in government security 2 $ fill in the blank 30
1,000
Investment in savings for year 1 $ fill in the blank 31
Investment in savings for year 2 $ fill in the blank 32
Investment in savings for year 3 $ fill in the blank 33
Investment in savings for year 4 $ fill in the blank 34
Investment in savings for year 5 $ fill in the blank 35
Investment in savings for year 6 $ fill in the blank 36
Use the dual value to determine how much more Hoxworth should be willing to pay now to reduce the payment at the beginning of year 6 to $400,000. Round your answer to the nearest dollar.
$ fill in the blank 37
54,333
Use the dual value to determine how much more Hoxworth should be willing to pay to reduce the year 1 payment to $150,000. Round your answer to the nearest dollar.
Hoxworth should be willing to pay anything less than $ fill in the blank 38
45,000
.
Suppose that the annual payments are to be made at the end of each year. Reformulate the model to accommodate this change.
Note: All decision variables are expressed in thousands of dollars.
If required, round your answers to five decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)
Min F
s.t.
1) fill in the blank 39
470,000
F + fill in the blank 40
1,045
G1+ fill in the blank 41
1,000
G2+ fill in the blank 42
1.035
S1= fill in the blank 43
195
2) fill in the blank 44
1,045
G1+ fill in the blank 45
1,000
G2+ fill in the blank 46
1.035
S1+ fill in the blank 47
1.035
S2= fill in the blank 48
220
3) fill in the blank 49
1,045
G1+ fill in the blank 50
1,000
G2+ fill in the blank 51
1.035
S2+ fill in the blank 52
1.035
S3= fill in the blank 53
270
4) fill in the blank 54
1,045
G1+ fill in the blank 55
1,000
G2+ fill in the blank 56
1.035
S3+ fill in the blank 57
1.035
S4= fill in the blank 58
320
5) fill in the blank 59
1,000
G2+ fill in the blank 60
1.035
S4+ fill in the blank 61
1.035
S5= fill in the blank 62
350
6) fill in the blank 63
1.035
S5+ fill in the blank 64
1.035
S6= fill in the blank 65
470
7) fill in the blank 66
1.035
S6+ fill in the blank 67
1.035
S7= fill in the blank 68
check my work

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