Gapco manufactures three products, whose daily labor and raw material requirements are given in the following table.

Product Required daily labor

(hr/unit)

Required daily raw material

(lb/unit)

1 3 4 2 4 3 3 5 6 The profits per unit of the three products are $20, $25, and $18, respectively. Gapco has two options for locating its plant. The two locations differ primarily in the availability of labor and raw material, as shown in the following table:

Location Available daily labor (hr) Available daily raw material (lb)

1 150 150 2 135 180 Formulate the problem as an ILP, and determine the optimum location of the plant.