Question: Please list decision variables, objective function, and constraints and show excel solver Sunchem, a manufacturer of printing inks, has five manufacturing plants worldwide. Their locations
Please list decision variables, objective function, and constraints and show excel solver
Sunchem, a manufacturer of printing inks, has five manufacturing plants worldwide. Their locations and capacities are shown in Table 1 along with the cost of producing 1 ton of ink at each facility. The production costs are in the local currency of the country where the plant is located. The major markets for the inks are North America, South America, Europe, Japan, and the rest of Asia. Demand at each market is shown in Table 1. Transportation costs from each plant to each market in U.S. dollars are shown in Table 1. Management must come up with a production plan with the goal of minimizing total costs while satisfying all demands for the next year
Can adding 10 tons of capacity in each plant reduce costs?


\begin{tabular}{lrrrrrrl} & NorthAmerica & Europe & Japan & SouthAmerica & Asia & CapacityTons/Year & ProductionCost/Ton \\ \hline United States & $600 & $1,300 & $2,000 & $1,200 & $1,700 & 185 & $10,000 \\ Germany & $1,300 & $600 & $1,400 & $1,400 & $1,300 & 475 & 15,000 euro \\ Japan & $2,000 & $1,400 & $300 & $2,100 & $900 & 50 & 1,800,000 yen \\ Brazil & $1,200 & $1,400 & $2,100 & $800 & $2,100 & 200 & 13,000 real \\ India & $2,200 & $1,300 & $1,000 & $2,300 & $800 & 80 & 400,000 rupees \\ Demand(tons/year) & 270 & 200 & 120 & 190 & 100 & & \\ \hline \end{tabular} \begin{tabular}{lllclc} & US\$ & Euro & Yen & Real & Rupee \\ \hline US\$ & 1.000 & 1.993 & 107.7 & 1.78 & 43.55 \\ Euro & 0.502 & 1 & 54.07 & 0.89 & 21.83 \\ Yen & 0.0093 & 0.0185 & 1 & 0.016 & 0.405 \\ Real & 0.562 & 1.124 & 60.65 & 1 & 24.52 \\ Rupee & 0.023 & 0.046 & 2.47 & 0.041 & 1 \\ \hline \end{tabular}
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