Note: Put all your work in a single Excel file, one question per tab. Include screenshots or hand- drawn pictures in the table. 1. Find the dual of the following linear programming: (a) Minz = 3x1-3x2 + 4x3 Subject to: 4x1 + x25x3 ≥ 10 2x1 x2+x3 = 15 x10,x2 urs, x3 ≥0 (b) Max z = 3x1+5x2 Subject to: 4x1 - 2x2 ≥ 10 5x + 2x2 ≤ 16 7x1 +5x2 = 50 -x1+9x2 ≥ 30 x1≥0,x2 ≤0

Fig: 1