Problem 2: Please Show Work

Show transcribed image text Finally, the quantities demanded by the sales centers are summarized in the following table. Your task is to formulate this problem in such a way that your model guarantees that the demand of each sales center is satisfied. Which depots should be opened to minimize the total cost of construction and of delivery, while satisfying all demands and the depot capacities? Solve the problem using Gurobi. Write the following problems in standard form. min 3×1-x2 s.t. x1-3×2 GE -3 2×1 + x2 GE -2 2×1+x2 LE 8 4×1- x2 LE 16 x1,x2 free max -3×1-2×2+8×3+16×4 s.t. x1+2×2+2×3+4×4 = 3 -3×1+x2+x3-x4 = -1 x1,x2 GE x3,x4 LE 0
Finally, the quantities demanded by the sales centers are summarized in the following table. Your task is to formulate this problem in such a way that your model guarantees that the demand of each sales center is satisfied. Which depots should be opened to minimize the total cost of construction and of delivery, while satisfying all demands and the depot capacities? Solve the problem using Gurobi. Write the following problems in standard form. min 3×1-x2 s.t. x1-3×2 GE -3 2×1 + x2 GE -2 2×1+x2 LE 8 4×1- x2 LE 16 x1,x2 free max -3×1-2×2+8×3+16×4 s.t. x1+2×2+2×3+4×4 = 3 -3×1+x2+x3-x4 = -1 x1,x2 GE x3,x4 LE 0





