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.