Question: 18. Problem 17 was solved on the computer. The linear programming output of the =20: program is as follows: LP OPTIMUM FOUND AT STEP 14

18. Problem 17 was solved on the computer. The linear programming output of the

=20:

program is as follows:

LP OPTIMUM FOUND AT STEP 14 OBJECTIVE FUNCTION VALUE 13 36185.0600 VARIABLE VALUE REDUCED COST H1 6.143851 .000000 H2 64.310690 .000000 H3 H4 .000000 116.071400 300.000000 .000000 F1 .000000 F2 .000000 300.000000 300.000000 F3 87.662330 .000000 F4 .000000 300.000000 11 .000000 59.415580 12 .000000 189.285700 13 .000000 31.006490 W1 106.143900 .000000 W2 170.454500 .000000 43 82.792210 .000000 W4 198.863600 .000000 P1 850.000000 .000000 P2 1260.000000 .000000 P3 510.000000 .000000 P4 980.000000 .000000 14 .000000 120.292200

a. By rounding the values of the variables using the conservative approach de- scribed in Section 3.5, find a feasible solution to the problem. Determine the cost of the resulting plan.

b. Determine another plan that achieves a lower cost than that determined in part

(a) while still retaining feasibility (that is, having a nonnegative amount of inventory on hand at the end of each period).

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