Just need an OBJECTIVE FUNCTION and the CONSTRAINTS for this. I don\'t need it s
ID: 442616 • Letter: J
Question
Just need an OBJECTIVE FUNCTION and the CONSTRAINTS for this. I don't need it solved or in Excel. Just the LP set up. Any help?
A blood bank wants to determine the least expensive way to transport available blood donations from Pittsburg and Staunton to hospitals in Charleston, Roanoke, Richmond, Norfolk, and Suffolk. Figure shows the possible shipping paths between cities along with the per unit cost of shipping along each possible arc. Additionally, the courier service used by the blood bank charges a flat rate of $125 any time it makes a trip across any of these arcs, regardless of how many units of blood are transported. The van used by the courier service can carry a maximum of 200 units of blood. Assume that Pittsburg has 600 units of blood type O positive (O+) and 800 units of blood type AB available. Assume that Staunton has 500 units of O+ and 600 units of AB available. The following table summarizes the number of units of each blood type needed at the various hospitals:
Units Needed
Hospital
O+
AB
Charleston
100
200
Roanoke
100
100
Richmond
500
300
Norfolk
200
500
Suffolk
150
250
Units Needed
Hospital
O+
AB
Charleston
100
200
Roanoke
100
100
Richmond
500
300
Norfolk
200
500
Suffolk
150
250
Richmond S3 85 Suffolk $4 S6 Staunton$3 $8 $4 S4 $2 Roanoke NorfolkExplanation / Answer
Ans:
a) path= 1-4-3-5-6-7 $25 cost incurred
b) path= 2-3-4-7 900 units at a cost of $18
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