II. The Cash Flow Planning Problem 2. How would the L.P. model related to this problem, the optimal solution and the optimal value be effected, after the following alterations/additions? Regarding possible changes in the optimal solution and/or the optimal value, just state whether a change is expected or not and the direction of the change if it is expected. i) The supplier firm has announced that, as a promotional measure, in August and September they would be offering cash discounts of 2% even in one month delayed payments (ie. in August and/or in September, a cash discount of 2% would be applied even when the payment were to be made one month later). ii) The limit of the fixed term credit is to be increased to 900.000 TL? iii) The value of which variable or parameter in the optimal primal or dual solution would give you information regarding the potential benefit or loss to the company in terms of its optimal cash position) for each additional 1000 TL increase in the limit of this fixed term credit? The Decision Variables: Ai Amount of credit obtained from the open credit account, in month "i": -1.....6 V; Amount of delayed payment purchases made in month "i"; i = 1.....6 L Amount of fixed term credit obtained Ti Cash position at the beginning of month "i": i = 1..... 6 (right before investment of surplus cash into goverment bonds and after the completion of all other monetary transactions of that month) 11 Cash position at the end of the planning The Objective: Max 1 The Constraints: L + A + V1-11 -100 1.005 11 + A2 + V2-0.01 L. 1.015 A, 1.031 V-12 - 800 1.005 12 + A3+ V3.0.01 L. 1.015 A2 - 1.031 V2- 13 = 900 1.005 I9+ A++ V4.0.01 L. 1.015 A3 - 1.031 V3 - L4 - 500 1.005 14 + As+ Vs.0.01 L. 1.015 A4 - 1031 V-Is-1100 1.005 Is + A6 + V6-0.01 L. 1.015 As - 1.031 Vs. 16-1600 1.005 16-1.01 L - 1.015 A6- 1.031 V-170 L 5 800 ALS 375 VI S 800 A2 525 V2 s 1000 Ay S 750 V3