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Book2 Book2 Document Transcript

  • Let t1:- Advertisements on television in first 10 min.s t2:- Advertisements on television after 10 min.s r1:- Advertisements on radio in first 15 min.s r2:- Advertisements on radio after 15 min.s n1:- Advertisements in newspaper in first 20 min.s r2:- Advertisements in newspaper after 20 min.s Objective Function:- Maximize:- E=90*t1+55*t2+25*r1+20*t2+10*n1+5*n2 Subject to:- r1+r2>=2*(t1+t2) 10000(t1+t2)+3000(r1+r2)+1000(n1+n2)<=279000 t1<=10 t1+t2<=20 4000t1+1500t2+2000r1+1200r2+1000n1+800n2>=100000 t1+t2<20 t1+t2>=14 Assuming second condition will automatically achieve after min. lim r1<=15 r1+r2<=33 n1<=20 n1+n2>=30 r1=15 n1=20 Varibles t1 t2 r1 r2 n1 n2 Optimum values 10 6.35 15 18 16.5 0 Coefficients 90 55 25 20 10 5 2149.25 Constraints 1 10 1 1 16.35 < 1 15 <= 1 16.5 <= 1 1 -2 -2 7.11E-15 >= 1 1 16.35 >= 1 1 33 <= 1 1 16.5 >= 10000 10000 3000 3000 1000 1000 279000 4000 1500 2000 1200 1000 800 117625 >= 1 15 1 16.5
  • 0n2>=100000 utomatically achieve after min. limits.. 10 20 15 20 0 14 33 30 279000 100000 15 20