BU283 Lecture Notes - Lecture 28: Kmart

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Decision variables: t- amount of television advertising to use, n- amount of newspaper advertising to use, r- amount of radio advertising to use. Constraints: r-2n >= 0, 25000t+10000n+15000r >= 100000, -5000t-11000n+6000r >= 0, 7500t +1000n+4500r >= 0, n <= 7, t,n,r >= 0. Decision variables: xij- amount of crop i (i=1,2,3) planted on plot j (j=1,2,3) i; 1= corn, 2= peas, 3= soybeans. Decision variables: qi= quantity to produce in quarter i, where i=1,2,3,4, ii= inventory at the end of quarter i, where i=1,2,3,4. Constraints: i1= 10+q1-150, i2=i1+q2-150, i3=i2+q3-120, i4=i3+q4-180, qi,ii >= 0. Constraints: bf+gf <= 70000, ba+ga <= 90000, 0. 2bf+0. 4gf <= 30000, 0. 2ba+0. 4ga <= 40000, bf+ba<= 85000, gf+ga <= 100000. Decision variables: xi- number of officers who work in shift i, where i=1,2,3,4,5,6. Constraints: x6+x1 >= 5, x1+x2 >= 7, x2+x3 >= 15, x3+x4 >= 7, x4+x5 >= 12, x5+x6 >= 9, xi >= 0, i=1,2,3,4,5,6. Decision variables: xi- number of hours per week to run process i, i=1,2,3.

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