3 Quiz: Exam 3 su.instructure.com/courses/1188429/quizzes/1136004/take/questions
ID: 3158496 • Letter: 3
Question
3 Quiz: Exam 3 su.instructure.com/courses/1188429/quizzes/1136004/take/questions/24449672 sites to Ic a Flurme, XXYYXX Drear The 100 best comedy The 100best comedy a Gregory Isaacs-Baby HORest website s Tor ChemicalBest Inc. produces a special bubble solution in three production facilities located in Shanghai (China), Mexico City (Mexico), and Ho Chi Minh City (Vietnam), The company ships bubble solution from its production facilities to three warehouses that are located in Tokyo (Japan), New York (USA), and Pars (France), The shipping cost (per ton) from each production facility to each warehouse are listed below TokyoNew YorkParis Shanghai Mexico City Ho Chi Minh City $110 190 $130 $180 $150 $200 $180 $130 $140 The monthly production capacity at Shanghai, Mexico City, and Ho Chi Minh City facilies are 55, 25, and 10 tons, respectively. The monthly demand at Tokyo, New York, and Paris warehouses are 10, 25, and 55 tons, respectively, ChemicalBest ships its solution from its facilities to warehouses once every month. You are asked to formulate the problem as a linear program. The goal is to minimize the total shipping cost to satisfy the demand at the warehouses. The decision variable are defined as follows Let Tij be the amount of bubble solution (in tons) to be shipped from production facility i to warehouse j, where i 1 (Shanghai), 2 (Mexico City), 3 (Ho Chi Minh City) 1 (Tokyo, 2 (New York) 3 (Paris). Which equation (choose among A-H or "none of the equations") represents the Shanghai facility's supply constraint? . I Select ] . Which equation (choose among A-H or none of the equations") represents the demand constraint at the Paris warehouse? Select)Explanation / Answer
I=1 represents Shanghai. So X11 , X12 , X13 represents the amount of bubble solution that will be shipped from Shanghai to Tokyo , Paris and Newyork respectively. But the constraint is that the total supply from Shanghai can't be more than 55. So
Shanghai facility's supply contraint :
X11 + X12 + X13 <= 55
C) is correct.
Similarly, monthly demand of paris warehouse is 55, again paris demand constraint is
X13 + X23 + X33 = 55
B) is correct.
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