This assignment is optional, and it has extra credit. If you discuss and explain it in the class, your final grade will be added up to an upper letter grade. For example, your grade will be increased from B to B+. Consider the following problem and its simplex tables. Look more closely at the process of entering and leaving the basis and interpret the numbers in tables. For example, in the second table, how do you interpret the column of non-basic variable x? What -15 indicates? What about 1/2 and 5/2? Your interpretation should be able to explain all numbers in tables. Basic 3 X1 X2 S1 S2 RHS max (= 40x1 + 50.62 21 + 2.62 0 S1 0 1 2 1 0 40 S2 0 4 3 0 1 120 5 1 -15 0 25 0 1000 X2 1/2 1 1/2 0 20 : S2 5/2 0 -3/2 1 60 3 1 0 0 16 6 1360 X2 0 0 1 4/5 -1/5 8 X1 0 1 0 -3/5 2/5 24