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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 900 units. Demand at Memphis, New Orleans, and El Paso is 450, 500, and 610, respectively.
The network representing the shipping routes is shown below.
The costs for shipping between each facility is shown below. A blank cell indicates that shipping between two facilities is not permitted.
| | Philadelphia | Knoxville | Memphis | New Orleans | El Paso | | Manhattan | $4 | $25 | | | | | Atlanta | $22 | $3 | | | | | Philadelphia | | $3 | $20 | $30 | $40 | | Knoxville | $3 | | $6 | $15 | $20 |
What is the constraint for the transshipment node in Philadelphia for the Mantastic problem?
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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 900 units. Demand at Memphis, New Orleans, and El Paso is 450, 500, and 610, respectively.
The network representing the shipping routes is shown below.
The costs for shipping between each facility is shown below. A blank cell indicates that shipping between two facilities is not permitted.
| | Philadelphia | Knoxville | Memphis | New Orleans | El Paso | | Manhattan | $4 | $25 | | | | | Atlanta | $22 | $3 | | | | | Philadelphia | | $3 | $20 | $30 | $40 | | Knoxville | $3 | | $6 | $15 | $20 |
What is the optimal solution to the Mantastic problem?
• $30,028
• $30,820
• $32,280
• $32,820
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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 900 units. Demand at Memphis, New Orleans, and El Paso is 450, 500, and 610, respectively.
The network representing the shipping routes is shown below.
The costs for shipping between each facility is shown below. A blank cell indicates that shipping between two facilities is not permitted.
| | Philadelphia | Knoxville | Memphis | New Orleans | El Paso | | Manhattan | $4 | $25 | | | | | Atlanta | $22 | $3 | | | | | Philadelphia | | $3 | $20 | $30 | $40 | | Knoxville | $3 | | $6 | $15 | $20 |
Which of these changes in the original formulation of the Mantastic problem will result in no transfer of product from Philadelphia to Knoxville?
• increasing the cost to ship product from Philadelphia to Knoxville to $14 per unit.
• lowering the cost to ship product from Philadelphia to New Orleans to $12 per unit.
• increasing the cost to ship product from Philadelphia to Knoxville to $16 per unit.
• lowering the cost to ship product from Philadelphia to either New Orleans or Memphis to $12 per unit.
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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 900 units. Demand at Memphis, New Orleans, and El Paso is 450, 500, and 610, respectively.
The network representing the shipping routes is shown below.
The costs for shipping between each facility is shown below. A blank cell indicates that shipping between two facilities is not permitted.
| | Philadelphia | Knoxville | Memphis | New Orleans | El Paso | | Manhattan | $4 | $25 | | | | | Atlanta | $22 | $3 | | | | | Philadelphia | | $3 | $20 | $30 | $40 | | Knoxville | $3 | | $6 | $15 | $20 |
The objective function is:
• MAX 4X13 + 25X14 + 22X23 + 3X24 - 3X34 - 3X43 - 20X35 - 30X36 - 40X37 - 6X45 - 15X46 - 20X47.
• MIN 4X13 + 25X14 + 22X23 + 3X24 - 3X34 - 3X43 - 20X35 - 30X36 - 40X37 - 6X45 - 15X46 - 20X47.
• MAX 4X13 + 25X14 + 22X23 + 3X24 + 3X34 + 3X43 + 20X35 + 30X36 + 40X37 + 6X45 + 15X46 + 20X47.
• MIN 4X13 + 25X14 + 22X23 + 3X24 + 3X34 + 3X43 + 20X35 + 30X36 + 40X37 + 6X45 + 15X46 + 20X47.
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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 900 units. Demand at Memphis, New Orleans, and El Paso is 450, 500, and 610, respectively.
The network representing the shipping routes is shown below.
The costs for shipping between each facility is shown below. A blank cell indicates that shipping between two facilities is not permitted.
| | Philadelphia | Knoxville | Memphis | New Orleans | El Paso | | Manhattan | $4 | $25 | | | | | Atlanta | $22 | $3 | | | | | Philadelphia | | $3 | $20 | $30 | $40 | | Knoxville | $3 | | $6 | $15 | $20 |
The constraint for Knoxville is:
• X14 + X24 + X34 - X43 - X45 - X46 - X47 = 0.
• X13 + X23 - X35 - X36 - X37 ≥ 0.
• X14 + X24 + X34 - X45 - X46 - X47 = 0.
• X14 + X24 + X34 + X43 + X45 + X46 + X47 ≥ 0.
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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 900 units. Demand at Memphis, New Orleans, and El Paso is 450, 500, and 610, respectively.
The network representing the shipping routes is shown below.
The costs for shipping between each facility is shown below. A blank cell indicates that shipping between two facilities is not permitted.
| | Philadelphia | Knoxville | Memphis | New Orleans | El Paso | | Manhattan | $4 | $25 | | | | | Atlanta | $22 | $3 | | | | | Philadelphia | | $3 | $20 | $30 | $40 | | Knoxville | $3 | | $6 | $15 | $20 |
The objective function is:
• MAX 4X13 + 25X14 + 22X23 + 3X24 - 3X34 - 3X43 - 20X35 - 30X36 - 40X37 - 6X45 - 15X46 - 20X47.
• MIN 4X13 + 25X14 + 22X23 + 3X24 - 3X34 - 3X43 - 20X35 - 30X36 - 40X37 - 6X45 - 15X46 - 20X47.
• MAX 4X13 + 25X14 + 22X23 + 3X24 + 3X34 + 3X43 + 20X35 + 30X36 + 40X37 + 6X45 + 15X46 + 20X47.
• MIN 4X13 + 25X14 + 22X23 + 3X24 + 3X34 + 3X43 + 20X35 + 30X36 + 40X37 + 6X45 + 15X46 + 20X47.
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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 900 units. Demand at Memphis, New Orleans, and El Paso is 450, 500, and 610, respectively.
The network representing the shipping routes is shown below.
The costs for shipping between each facility is shown below. A blank cell indicates that shipping between two facilities is not permitted.
| | Philadelphia | Knoxville | Memphis | New Orleans | El Paso | | Manhattan | $4 | $25 | | | | | Atlanta | $22 | $3 | | | | | Philadelphia | | $3 | $20 | $30 | $40 | | Knoxville | $3 | | $6 | $15 | $20 |
The constraint for Knoxville is:
• X14 + X24 + X34 - X43 - X45 - X46 - X47 = 0.
• X13 + X23 - X35 - X36 - X37 ≥ 0.
• X14 + X24 + X34 - X45 - X46 - X47 = 0.
• X14 + X24 + X34 + X43 + X45 + X46 + X47 ≥ 0.
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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 900 units. Demand at Memphis, New Orleans, and El Paso is 450, 500, and 610, respectively.
The network representing the shipping routes is shown below.
The costs for shipping between each facility is shown below. A blank cell indicates that shipping between two facilities is not permitted.
| | Philadelphia | Knoxville | Memphis | New Orleans | El Paso | | Manhattan | $4 | $25 | | | | | Atlanta | $22 | $3 | | | | | Philadelphia | | $3 | $20 | $30 | $40 | | Knoxville | $3 | | $6 | $15 | $20 |
The constraint for the quantity shipped from Atlanta is:
• X23 + X 24 = 1000.
• X23 + X 24 ≤ 1000.
• X23 + X 24 ≥ 1000.
• X13 + X 14 - X34 = 1000.
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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 900 units. Demand at Memphis, New Orleans, and El Paso is 450, 500, and 610, respectively.
The network representing the shipping routes is shown below.
The costs for shipping between each facility is shown below. A blank cell indicates that shipping between two facilities is not permitted.
| | Philadelphia | Knoxville | Memphis | New Orleans | El Paso | | Manhattan | $4 | $25 | | | | | Atlanta | $22 | $3 | | | | | Philadelphia | | $3 | $20 | $30 | $40 | | Knoxville | $3 | | $6 | $15 | $20 |
The transshipment locations are:
• Manhattan and Atlanta.
• Philadelphia and Knoxville.
• Manhattan, Atlanta, Philadelphia and Knoxville.
• Memphis, New Orleans, and El Paso.
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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 900 units. Demand at Memphis, New Orleans, and El Paso is 450, 500, and 610, respectively.
The network representing the shipping routes is shown below.
The costs for shipping between each facility is shown below. A blank cell indicates that shipping between two facilities is not permitted.
| | Philadelphia | Knoxville | Memphis | New Orleans | El Paso | | Manhattan | $4 | $25 | | | | | Atlanta | $22 | $3 | | | | | Philadelphia | | $3 | $20 | $30 | $40 | | Knoxville | $3 | | $6 | $15 | $20 |
What is the constraint for El Paso for the Mantastic problem?
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