A company wants to build a new factory in either Atlanta or Columbia.It is also considering building a warehouse in whichever city is selected for the new factory.The following table shows the net present value NPV)and cost of each facility.The company wants to maximize the net present value of its facilities,but it only has $15 million to invest.
Formulate the ILP for this problem.
Variable Decision
NPV
$million)
Cost $million)
^X₁Factory in Columbia 3 10
^X₂Factory in Atlanta 4 8
^X₃Warehouse in Columbia 2 6
^X₄Warehouse in Atlanta 1 5

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The Answer of A company wants to build a new factory in either Atlanta or Columbia.It is also considering building a warehouse in whichever city is selected for the new factory.The following table shows the net present value NPV)and cost of each facility.The company wants to maximize the net present value of its facilities,but it only has $15 million to invest. Formulate the ILP for this problem. Variable Decision NPV $million) Cost $million) ^X₁Factory in Columbia 3 10 ^X₂Factory in Atlanta 4 8 ^X₃Warehouse in Columbia 2 6 ^X₄Warehouse in Atlanta 1 5

A Company Wants to Build a New Factory in Either