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FlexSteal,marketed as a Miracle Brush-On Sealant and Baldness Cure,is Manufactured

Question 75

Multiple Choice

FlexSteal,marketed as a miracle brush-on sealant and baldness cure,is manufactured at three plants that are struggling to keep up with the demand at the four regional centers.The cost to ship a truckload from each of the existing plants to the regional centers is shown in the table.Note that the capacity and the total demand are both measured in truckloads.
 Philadelphia  Atlanta  Dallas  Los Angeles  Capacity  Plant 1 897593115400 Plant 2 1208810393400 Plant 3 958211298400 Total Demand 350350350350\begin{array} { | l | c | c | c | c | c | } \hline & \text { Philadelphia } & \text { Atlanta } & \text { Dallas } & \text { Los Angeles } & \text { Capacity } \\\hline \text { Plant 1 } & 89 & 75 & 93 & 115 & 400 \\\hline \text { Plant 2 } & 120 & 88 & 103 & 93 & 400 \\\hline \text { Plant 3 } & 95 & 82 & 112 & 98 & 400 \\\hline \text { Total Demand } & 350 & 350 & 350 & 350 & \\\hline\end{array} The supply chain manager has explored plant construction costs in two other cities as well as the cost to ship a truckload from each of the plants to the regional centers.The current plan is to build another plant with a capacity of 400 to allow room for sales growth.The construction cost for the new plants and cost to ship to each of the regional centers is shown here.
 Philadelphia  Atlanta  Dallas  Los Angeles  Cost to Build  Plant A 94789595$23,500 Plant B 95888894$26,000\begin{array} { | l | c | c | c | c | c | } \hline & \text { Philadelphia } & \text { Atlanta } & \text { Dallas } & \text { Los Angeles } & \text { Cost to Build } \\\hline \text { Plant A } & 94 & 78 & 95 & 95 & \$ 23,500 \\\hline \text { Plant B } & 95 & 88 & 88 & 94 & \$ 26,000 \\\hline\end{array}
-What is the constraint associated with Atlanta for the existing set of plants and regional centers?


A) 75x1A + 88x2A + 82x3A = 350
B) x1A + x2A + x3A = 350
C) 75x1A + 88x2A + 82x3A ≤ 350
D) x1A + x2A + x3A ≤ 350

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