The network representation of the following network flow problem... MIN: 5X12 + 3X13 + 2X14 + 3X24 + 2X34 Subject to: X12 X13 X14 = 10 X12 X24 = 2 X13 X34 = 3 X14 + X24 + X34 = 5 Xij 0 for all i and j 1. How many nodes are there in this model? 2. How many dollars does it cost to ship from Node 1 to Node 2? 3. How many dollars does it cost to ship from Node 2 to Node 4? 4. How units are ready to be shipped from Node 1? 5. An inspection of the network flow problem indicates that "demand" and "supply" are equal. (True or False?) 6. An inspection of the network flow problem indicates that there are two paths (i.e., possible ways) to ship to Node 4.(True or False?) 7. What is the demand at Node 4? 8. Draw using either computer software (Paint/PowerPoint/etc) or by hand. Make sure to clearly label everything in such a way that someone else could understand the problem just by looking at the visual representation. 9. Explain in your own words how you interpret a negative sign