Answered step by step
Verified Expert Solution
Question
1 Approved Answer
Decision Variables Let I represent the number of units of TVs transported from node i to node j . 14, 15, 24, 25, 34, 35,
Decision Variables Let I represent the number of units of TVs transported from node i to node j . 14, 15, 24, 25, 34, 35, 46, 47, 48, 49, 410, 56, 57, 58, 59, 510 These are the decision variables The decision variables are: x14,x15 TVs shipped from Source 1 to Transshipment points 4 and 5. x24 x25 TVs shipped from Source 2 to Transshipment points 4 and 5. x34, x35} TVs shipped from Source 3 to Transshipment points 4 and 5. x46 , x47, x48, x49}, x410} TVs shipped from Transshipment 4 to Destinations 6 through 10. x56, x57, x58, x59, x510: TVs shipped from Transshipment 5 to Destinations 6 through 10. Objective Function The objective function is to minimize the total transportation cost: Minimize Z = 12x_{14} + 13x_{15} + 11x_{24} + 9x_{25} + 4x_{34} + 7x_{35} + 0.9x_{46} + 0.5x_{47} + 0.7x_{48} + 0.8x_{49} + 0.8x_{410} + 1.1x_{56} + 1.2x_{57} + 2x_{58} + 0.24x_59 + 0.9x_{510 Min z = 12x14+ 13x15+ 11x24 + 9x25 + 434, + 7x35+ 0.9x46 + 0.5x47 + 0.748 + 0.849 + 0.8410+ 1.156 + 1.2x57+ 2x58+ 0.2459+ 0.9x510 Constraints Supplier constraints: x14+15<=5500 x124-25<=1500 x34 + x35<=3000 Supplier Constraints Ensure that the
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started