analytics - Formulate an LP model using algebraic notation -


the problem i'm having assigning binary variables since there 3 sets of them, namely in skill 1, 2 , 3. after picking best decision variable , linking binary choices project allocation budget constraint.

i have declared it's linking of skills projects that's catching me.

"a management consultancy firm wishes assign employees project teams. employees can work on 1 project. skill capabilities , salaries shown in table below. y indicates employee has qualification in skill, n indicates not have skill. table shows budget availability , number of employees of each skill set required each project. may assume each project last 1 year.

employee 1 2 3 4 5 6 7 8 9 10 11 12  skill 1 y y y n y y n y y n y y  skill 2 y n y y y y n n y y y y  skill 3 y y n y n n y y y y y y  annual salary ('000s €) 65 45 48 51 62 58 48 52 55 41 54 68   project 1 2 3 4  skill 1 requirement 3 1 2 1  skill 2 requirement 2 2 1 2  skill 3 requirement 1 1 1 2  budget ('000s €) 209 340 150 175

"


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