2. A company will face the following cash requirements in the next eight quarters (positive entries represent cash needs while negative entries represent cash surpluses). Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 100 500 100 600 500 200 600 900 The company has three borrowing possibilities: a 2-year loan available at the beginning of Q1, with a 1% interest per quarter. a 6-month loan with a 1.8% interest per quarter. (This is available at the beginning of every quarter.) a quarterly loan with a 2.5% interest for the quarter. (This is available at the beginning of every quarter.) Any surplus can be invested at a 0.5% interest per quarter. Formulate a linear program that maximises the wealth of the company at the beginning of Q9.