An oil company wants to create lube oil, gasoline and diesel fuel at two refineries. There are two sources of crude oil. The following network representation depicts this problem.
ACETUTORS
lp_q.docx
TMGT 7060
Exam Two
Problem 1
Anoilcompanywantstocreatelubeoil,gasolineanddieselfuelattworefineries.Therearetwosourcesofcrudeoil.Thefollowingnetworkrepresentationdepictsthisproblem.
WriteouttheLPformulationforthisproblem (you do NOT need to solve).
Problem 2
Acompanymakes2productsAandBfrom2resources,laborandmaterial.Theproductshavethefollowingresourcerequirementsandproducetheaccompanyingprofits.Theavailablequantityofresourcesisalsoshowninthetable.
|
Product |
A |
B |
Availableresources |
|
Labor(hr/unit) |
3 |
2 |
150 |
|
Material(ounces/unit) |
1 |
2 |
200 |
|
Profit($/unit) |
7 |
6 |
|
Managementhasdevelopedthefollowingsetofgoals
Goal1: Produceapproximately40unitsofproduct1.
Goal2: Produceapproximately70unitsofproduct2.
Goal3: Achieveaprofitover$400.
Goal4: Consumelessthan150hoursoflabor
Goal5: Consumelessthan200ouncesofmaterial
Formulateagoalprogrammingmodelofthisproblem (you do NOT need to solve).
