An oil company wants to create lube oil,gasoline and diesel fuel at two refineries.There are two sources of crude oil.Consider arc 2-4.The per unit shipping cost of crude B from source 2 node 2)to refinery 2 node 4)is $11 and the yield is 85 percent.The following network representation depicts this problem.What is the balance of flow constraint for node 3 Refinery 1)? A)X₁₃+ X₂₃− .95 X₃₅− .90 X₃₆− .90 X₃₇= 0 B).80 X₁₃+ .95 X₂₃− X₃₅− X₃₆− X₃₇= 0 C).80 X₁₃+ .95 X₂₃− .90 X₃₆− .90 X₃₇≥ 0 D)X₁₃+ X₂₃− X₃₅− X₃₆− X₃₇≥ 0

Question

Quizplus · Accepted Answer

The balance of flow constraint for node 3 (Refinery 1) is given by: -0.8*X(_13,) + 0.95*X(_23,) - X(_35,) - X(_36,) - X(_37,) = 0 This is because Refinery 1 receives crude oil from two sources: crude A (from node 1) and crude B (from node 2). The flow of crude A is determined by the demand for lube oil and gasoline, while the flow of crude B is determined by the yield and shipping cost. Therefore, the balance of flow constraint for Refinery 1 must ensure that the total amount of crude oil received equals the total amount of crude oil processed into lube oil, gasoline, and diesel fuel. Option B is the correct choice because it represents this balance of flow constraint, taking into account the yield and shipping cost of crude B from node 2 to Refinery 2.

An Oil Company Wants to Create Lube Oil,gasoline and Diesel