Problem 9-07 (Algorithmic) rates currently quoted in The Wall Street Journal. a. 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. Round your answer to the nearest dollar. If an amount is zero, enter "0". $ c. 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 \$ d. 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 )