Question: Table 9-3 To demonstrate the personal touch that is part of the Apple experience, Tim Cook decides to personally deliver the first iCar produced in
Table 9-3 To demonstrate the personal touch that is part of the Apple experience, Tim Cook decides to personally deliver the first iCar produced in San Jose to the customer's home in Nashville. In order to minimize the carbon footprint, he decides to push the car rather than actually driving it, and since his time is valuable, he wants to choose the shortest route possible. Fortunately, the first genius he talks to at The Genius Bar is able to determine the drive times between cities Tim might pass through along the way to Nashville. The cities and drive times are shown in the table the push time is assumed to be a direct multiple of the drive time, which will act as a surrogate to keep the numbers low.
| City | City | Distance |
| San Jose | Albuquerque | 15.3 |
| San Jose | Phoenix | 10.5 |
| San Jose | Oklahoma City | 23 |
| Albuquerque | Oklahoma City | 7.83 |
| Albuquerque | Chicago | 19.3 |
| Phoenix | Oklahoma City | 14.3 |
| Phoenix | New Orleans | 22 |
| Oklahoma City | Chicago | 11.6 |
| Oklahoma City | New Orleans | 10.3 |
| Oklahoma City | Nashville | 10 |
| Chicago | Nashville | 7.25 |
| New Orleans | Nashville | 8 |
How many constraints including the nonnegativity constraint are needed to model the scenario described in Table 9-3 using LP?
a. 6
b. 7
c. 8
d. 9
How many decision variables are needed to model the scenario described in Table 9-3 using LP?
a. 11 b. 12 c. 13 d. 14
Write the elements of the objective function relating to the city of Oklahoma City based on the information given in Table 9-3.
| -23SO - 7.83AO - 14.3PO + 11.6OC + 10.3ONo + 10ONa | ||
| 23SO + 7.83AO + 14.3PO - 11.6OC - 10.3ONo - 10ONa | ||
| -23SO - 7.83AO - 14.3PO - 11.6OC - 10.3ONo - 10ONa | ||
| 23SO + 7.83AO + 14.3PO + 11.6OC + 10.3ONo + 10ONa |
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