Question

Top Pharmaceuticals specializes in the distribution of one of its most popular drugs for hypertension. Top Pharmaceuticals moves its product line from 3 sources (New York, Detroit and Chicago) to 4 destinations (Boston, Richmond, Atlanta and Dallas) per the information in the table that follows. Top Pharmaceuticals desires to do so at minimum transportation cost. Richmond (D2) Dallas (D4) Boston (D1) Atlanta (D3) Supply From New York (S1) 40 35 30 32 1,200 Detroit (S2) 42 37 40 25 1,000 Chicago (S3) 40 15 20 28 800 Demand 1,100 400 750 750 In the linear programming formulation of this problem, where Xij denotes the amount shipped from supply point i (1, 2 or 3) to demand point i (1,2,3 or 4), the appropriate supply constraint for Detroit is, O 37X12 40X22+42X32 25X42< - 1000 O X21+X22+X23+X24<-1000 O X12 X22+X32+X42 <=1000 O 37X21+40X22+42X23+25X24 -1000

Answer 1

Condtraint feu Detroit Sal Approprial sup ply 37 X, + 40X2292 x23 25 x24 l000