A professor has been contacted by five not-for-profit agencies that are willing to work with student consulting teams. The agencies need help with such things as budgeting, information systems, coordinating volunteers, forecasting and distribution. Although each of the four student teams could work with any of the agencies, the professor feels that there is a difference in the amount of time it would take each group to solve each problem. The professor's estimate of the time, in days, is given in the table below. Projects Team Budgeting Information Volunteers Forecasting Distribution A 32 45 28 37 36 B 34 38 32 35 44 30 42 25 38 32 D 40 35 30 42 28 E 50 26 38 40 34 Let X; denote if team i (A=1,B=2.C=3,0-4, E=5) is assigned to projectj (Budgeting =1, Information = 2, Volunteers =3, Forecasting = 4, Distribution = 5) The constraint for Team E is given as: X15 + X25+X35 + X45+X55 = 1 Let Xdenote if team i (A=1,8-2,C=3,0-4, E=5) is assigned to projectj (Budgeting =1, Information = 2, Volunteers =3, Forecasting = 4, Distribution = 5) The constraint for the Information project is given as: OX21 + X22 + X23+ X24 + X25 = 1 None of the others O X12 + X22 + x32 + X42 + X52 >= 1 O X12 + X22 + X32 + X42 +X52 = 5 X12 + X22 + x32 +X42 +X52 = 1 Let Xdenote if team i (A=1,8-2,C=3,0-4, E=5) is assigned to projectj (Budgeting =1, Information = 2, Volunteers =3, Forecasting = 4, Distribution = 5) The constraint for the Information project is given as: OX21 + X22 + X23+ X24 + X25 = 1 None of the others O X12 + X22 + x32 + X42 + X52 >= 1 O X12 + X22 + X32 + X42 +X52 = 5 X12 + X22 + x32 +X42 +X52