Build a model to minimize the transportation cost of a logistics system that will deliver skateboards from the factories to the distribution centers and from the distribution centers to the retailers. What is the optimal production strategy and shipping pattern for Sports of All Sorts? What is the minimum attainable transportation cost? If required, round your answers to two decimal places. Let x_ij = units shipped from node i to node j.

most 500 skateboards per week. skateboards between the factories and DCs and for shipping between the DCs and the retailers. a. Choose the correct network representation of this problem. (i) (ii) DC Capacity (iii) Supply Minx1,4+x1,5+x1,6+x1,7+x2,4+x2,5+x2,6+x3,4+x3,6+x3,7+x4,8+x4,9+x4,10+x5,9+x5,10+x6,8+x6,9+x6,10+x7,8+x7,9+ subject to x1,4+x1,5+x1,6+x2,4+x2,5+x2,6+x3,4+x3,5+x3,6+x1,4+x2,4+x3,4=x1,5+x2,5+x3,5=x1,6+x2,6+x3,6=x1,7+x2,7+x3,7=x1,4+x2,4+x3,4x1,5+x2,5+x3,5x1,6+x2,6+x3,6x1,7+x2,7+x3,7x4,8+x5,8+x6,8+x4,9+x5,9+x6,9+x4,10+5,10+6,10+xij,yij0 for all i and j. Solving the formulation above, the optimal cost is $ per week. capacity so that it can process 800 skateboards per week? (Assume 50 operating weeks per year.) Explain. The input in the box below will not be graded, but may be reviewed and considered by your instructor