C = Homework: HW4 Question 3, Problem B.38 Part 11 of 11 HW Score: 57.67%, 57.67 of 100 points Points: 24.38 of 30 Sav Capability From $3 Factory 1 Factory 2 Factory 3 Capacity $6 $8 $11 12 $5 $10 $14 8 $8 $18 10 9 15 6 Write the objective function and the constraint in equations. Let Xij= 1,000s of units shipped from factory i to warehouse j, and so on. a) The objective function, for the LP model = Minimize Z= (shipping cost from factory 1) $6 X1A + $5 X18 + $3 X10 + $8 X2A + $10 X2B + $8 X2c + $11 X3A +$14 X3B +$18 X3c (shipping cost from factory 2) (shipping cost from factory 3) Subject to: Warehouse A capacity utilization Warehouse B capacity utilization Warehouse C capacity utilization X1A + X2A +X3A = 12 X18+X28+X38 = 8 X10 + X2c + X3c = 10 XA +XB +Xc = 9" X2A + X2B + X2C S 15 X3A+X3B+X3c 5 6 For all Xij 20 Factory 1 production capability Factory 2 production capability Factory 3 production capability non negativity condition b) Using a computer software for solving LP, the optimal solution achieved is: Total shipping costs (in thousands) = $(enter your response as a whole number)