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Formulate and Solve Optimization Models with Binary Variables and Logical

question 6

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Formulate and solve optimization models with binary variables and logical constraints. LO2: Use a modern software tool to perform statistical calculations.
Use the table below to answer the following question(s) using the standard Solver. Below is the spreadsheet for a plant location model:  A  B  C  D  E  F 1 Plant Location  Model 23 Data 4 Distribution Center 5 Plant  Houston  San Jose  Jacksonville  Memphis  Capacity 6 Dallas $11.80$16.48$12.35$18.561,3007 Atlanta $8.54$14.65$9.58$18.257508 Detroit $12.89$10.78$7.85$10.281,4009 Baltimore $14.36$18.95$14.61$6.641,30010 Demand 3504508001,7001112 Model 1314 Amount Shipped  Distribution Center 15 Plant  Houston  San Jose  Jack sonville  Memphis  Total Shipped 16 Dallas 17 Atlanta 18 Detroit 19 Baltimore 20 Supply 2122 Total Cost 23$0.00\begin{array}{|l|l|l|l|l|l|l|}\hline &{\text { A }} & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } \\\hline 1 & \begin{array}{l}\text { Plant Location } \\\text { Model }\end{array} & & & & & \\\hline 2 & & & & & & \\\hline 3 & \text { Data } & & & & & \\\hline4&&&\text { Distribution Center }\\\hline 5 & \text { Plant } & \text { Houston } & \text { San Jose } & \text { Jacksonville } & \text { Memphis } & \text { Capacity } \\\hline 6 & \text { Dallas } & \$ 11.80 & \$ 16.48 & \$ 12.35 & \$ 18.56 & 1,300 \\\hline 7 & \text { Atlanta } & \$ 8.54 & \$ 14.65 & \$ 9.58 & \$ 18.25 & 750 \\\hline 8 & \text { Detroit } & \$ 12.89 & \$ 10.78 & \$ 7.85 & \$ 10.28 & 1,400 \\\hline 9 & \text { Baltimore } & \$ 14.36 & \$ 18.95 & \$ 14.61 & \$ 6.64 & 1,300 \\\hline 10 & \text { Demand } & 350 & 450 & 800 & 1,700 & \\\hline 11 & \\\hline 12 & \text { Model } \\\hline 13 & \\\hline 14 & \text { Amount Shipped }&&\text { Distribution Center } \\\hline 15 & \text { Plant } & \text { Houston } & \text { San Jose } & \text { Jack sonville } & \text { Memphis } & \text { Total Shipped } \\\hline 16 & \text { Dallas } & & & & & \\\hline 17 & \text { Atlanta } \\\hline 18 & \text { Detroit } \\\hline 19 & \text { Baltimore } \\\hline 20 & \text { Supply } \\\hline 21 & \\\hline 22 & \text { Total Cost } \\\hline 23 & \$ 0.00 \\\hline\end{array}
-What is the total amount shipped by the Detroit plant to the distribution centers?


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