In: Statistics and Probability
Minimize total cost = 4X13 + 3X23 + 8X14+ 6X24 + 2X15+ 5X25 + 5X36 + 8X46 + 2X56 + 7X37 + 3X47 + 9X57
Subject to:
X13 + X14 + X15 ≤ 1500
X23 + X24 + X25 ≤ 1000
X13 + X23 = X36 + X37
X14 + X24 = X46 + X47
X15 + X25 = X56 + X57
X36 + X46 + X56 = 1200
X37 + X47 + X57 = 800
All xij ≥ 0
Excel formulas can be set up as:
Solver in excel can be set up as follows:
Final optimal cost is = 12,000