Question: Please solve using excel! This class of models addresses decisions concern-ing the loading of cargo onto vessels, airplanes, trains, spacecraft, and so forth. Consider a
Please solve using excel!
This class of models addresses decisions concern-ing the loading of cargo onto vessels, airplanes, trains, spacecraft, and so forth. Consider a problem whereby limited quantities of four types of merchandise are available to be loaded into three holds of a freighter. Relevant data are given in the accompanying tables. EREIGHTER CAPACITIES \begin{tabular}{|l|r|r|} \hline \multicolumn{1}{|c|}{ Hold (j) } & Weight (ton) & Volume (Cu.ft.) \\ \hline & & \\ \hline 1. Forward & 75 & 4,000 \\ \hline 2. Center & 150 & 10,000 \\ \hline 3. Aft & 50 & 7,000 \\ \hline \end{tabular} CARGO DATA \begin{tabular}{|l|r|r|r|} \hline \multicolumn{1}{|c|}{ Merchandise (i) } & Weight (ton) & Volume(cu.ft.perton) & Revenue(dollarsperton) \\ \hline 1. Sugar & 100 & 48.6 & 600 \\ \hline 2. Rice & 200 & 60 & 800 \\ \hline 3. Ore & 500 & 4.1 & 200 \\ \hline 4. Medicine & 50 & 240 & 300,000 \\ \hline \end{tabular} The captain needs to know how much weight of each type of merchandise is to be loaded in each hold such that total revenue is maximized without violating weight and volume constraints. Let Xij= Tons of merchandise i loaded in hold j. Note that the constraints deal with: I. Availability II. Volume III. Weight
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