prescriptive analytics problems

Question 8 10 pts Consider the transportation network below: How many decision variables will be need for this linear programming problem to be solved? 09 0 8 0 7 0 5 O more than 9 O less than 5Question 9 10 pts What are nodes 3 and 4 in the following diagram? Dayton Madison Atlanta Albany O sources O destinations O assignments O transshipment points O none of these answers are correct Question 10 10 pts A company has three new distribution centers Atlanta (A), Baltimore (B), Columbia(C) to serve four regional sales areas: Mobile (M), Raleigh (R), Darlington (D), Wilmington(W). The table below shows supplies and demands: Mobile Raleigh Darlington Wilmington Supply Atlanta 200 Baltimore 0 0 0 600 Columbia 0 0 400 Demand 200 400 300 300 1200 The table below shows the cost ($ per item) for shipping from each distribution center to each region. Mobile Raleigh Darlington Wilmington Atlanta 18 Baltimore 12 14 15 Columbia 10 What would be the minimum cost to get all the supplies needed to the destinations? O 1,200 O 13,400 O 13,100 O 16,700