Question

Problem 7-13 Recall the Martin-Beck Company distribution system problem shown below. Use a software package LINGO. Min 5x1u + 2x12 +3x13 +4221 3x22 + 4x23 + 9x31 732 5x33 + 104 4x42 S 10y Detroit capacity 20y Toledo capacity 30y3 Denver capacity S 40y4 Kansas City capacity K 30 - 30 - 20 St. Louis capacity Boston demand Atlanta demand Houston demand 11 + 21 + 31 +41 51 12 + 22 + 32 +42 52 rij 20 for all i, j;

Answer 1

Recall the martin Beck company system min 5_x11 + 2_x12 + 3_x13 + 4_x21 + 3_x22 + 4_x23 + 9_x31 + 7_x32 + 5_x33 + 10_x41 + 4_x42 + 2_x43 + 8_x51 + 4_x52 + 3_x53 + 175_y1 + 300_y2 + 375_y3 + 500_y4 optional the solution for the MARTIN = BECK COMPANY distribution system problem optional objective value = 860.0000 z_11 0.0000 x_12 0.00000 x_13 0.00000 x_21 0.00000 x_22 0.00000 x_23 0.00000 x_31 0.00000 x_32 0.00000 x_33 0.00000 x_41 0.00000 x_42 20.00000 x_43 20.00000 \r\n Kansans city to Houston (x_43 = 20), and 30,000 units will be slipped from St. Louis to Boston (x_51 = 30) The total cost of this solution including the fixed cost of $ 500,000 for the plant in Kansans city is $ 860,000