(Solved) Mantastic Devices designs and manufactures high-end support garments for men. The facilities in ...

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 ...

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