1- Mantastic Devices designs and manufactures high-end support garments for men. The facilities in Manhattan and...

Transcribed Image Text:

1- Mantastic Devices designs and manufactures high-end support garments for men. The facilities in Manhattan and Atlanta serve as design and component manufacturing facilities. Components are then shipped to warehouses in Philadelphia or Knoxville, where they are held until final assembly is completed at either Memphis, New Orleans, or El Paso. Manufacturing capacity in Manhattan and Atlanta is 800 units. Demand at Memphis, New Orleans, and El Paso is 450, 490, and 650, respectively. The network representing the shipping routes is shown below. Manhattan Atlanta Manhattan Philadelphia Knoxville Atlanta 2 Philadelphia Knoxville $4 The costs for shipping between each facility is shown below. A blank cell indicates that shipping between two facilities is not permitted. Memphis New Orleans $20 $7 El Paso Philadelphia Knoxville Memphis New Orleans $5 $25 $22 $3 $4 $30 $15 El Paso $40 $20 i) What is the objective function for the Mantastic problem? Use the notation where and correspond to the node numbers indicated in the diagram. ii) What is the constraint for the transshipment node in Philadelphia for the Mantastic problem? iii) What is the constraint for El Paso for the Mantastic problem? iv) Find optimal shipments and minimum total cost. Please show your final answer (i.e., optimal shipments) on the network, where arcs are presented only if they have a nonzero shipment. 1- Mantastic Devices designs and manufactures high-end support garments for men. The facilities in Manhattan and Atlanta serve as design and component manufacturing facilities. Components are then shipped to warehouses in Philadelphia or Knoxville, where they are held until final assembly is completed at either Memphis, New Orleans, or El Paso. Manufacturing capacity in Manhattan and Atlanta is 800 units. Demand at Memphis, New Orleans, and El Paso is 450, 490, and 650, respectively. The network representing the shipping routes is shown below. Manhattan Atlanta Manhattan Philadelphia Knoxville Atlanta 2 Philadelphia Knoxville $4 The costs for shipping between each facility is shown below. A blank cell indicates that shipping between two facilities is not permitted. Memphis New Orleans $20 $7 El Paso Philadelphia Knoxville Memphis New Orleans $5 $25 $22 $3 $4 $30 $15 El Paso $40 $20 i) What is the objective function for the Mantastic problem? Use the notation where and correspond to the node numbers indicated in the diagram. ii) What is the constraint for the transshipment node in Philadelphia for the Mantastic problem? iii) What is the constraint for El Paso for the Mantastic problem? iv) Find optimal shipments and minimum total cost. Please show your final answer (i.e., optimal shipments) on the network, where arcs are presented only if they have a nonzero shipment.

Answer rating: 100% (QA)

Refer to the diagram for number notation Below are the Objective function Constr... View the full answer