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Indiana's prison budget allows it to consider four new installations next year. They are X1=1ifmaximumsecurityprisoninFt.Wayne,=0otherwise X2=1 if minimum security prison in Bloomington, =0otherwise X3=1 if halfway house in Indianapolis, 0 otherwise X4=1 if expanded tricounty jail in South Bend, 0 otherwise The state wants to maximize the number of people that can be "served," while only building one of the two prisons (X1 or X2) and observing cost and space limitations. Here is the formulation: maximize number served =3,000X1+900X2+4,000X3+1,500X4 subject to X1+X24X1+2X2+7X3+3X43.5X1+1X2+2.5X3+9X4