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An Oklahoma manufacturer makes two products: speaker telephones (X1) and pushbutton telephones (X2). The following goal programming model has been formulated to find the number

An Oklahoma manufacturer makes two products: speaker telephones (X1) and pushbutton telephones (X2). The following goal programming model has been formulated to find the number of each to produce each day to meet the firms goals:

MinimizeP1d1+P2d2+P3d+3+P4d+1

subjectto2X1+4X2+d1d+1=80

8X1+10X2+d2d+2=320

8X1+6X2+d3d+3=240

allXi, d10

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