Figure 1 shows the superstructure associated with the supply chain to obtain bio-oil from the transformation of organic waste and algae (spirulina). You are asked to come up with the optimal supply chain design that minimizes cost and carbon footprint. Considerations 1.- The organic waste in the collection centers must be completely transformed into bio-oil for any year. 2.-In algae collection centers consider that there is a wide availability of algae, that is, at any time in any algae collection center you can have any amount of algae. 3.- The demand for bio-oil requested for each year of each market must be met. 4.- There is no dispatch restriction on any route. 5.- Costs remain constant over time. 6.-Consider a unit transportation cost of $35/km ton. 7.-Assume an emission factor of 24 kg CO2/km ton. Answer the following: Is it a multi-objective model?(2.5) What type of optimization model is it?(2.5) Complete mathematical model (40 pts) The solution must be represented in the superstructure, specifying all the variables that are activated. In case of being a multi-objective model, explain which optimization method was used to solve the problem (5 pts)

\begin{tabular}{l|l|l|} \hline Market & Year & Demand (ton) \\ \hline \multirow{2}{*}{1} & 1 & 6545 \\ \cline { 2 - 3 } & 2 & 3657 \\ \cline { 2 - 3 } & 3 & 1345 \\ \hline \multirow{2}{*}{} & 1 & 5467 \\ \cline { 2 - 3 } & 2 & 8765 \\ \cline { 2 - 3 } & 3 & 2345 \\ \hline \end{tabular} \begin{tabular}{|l|l|} \hline Biomass & Yield to Bio-oil \\ \hline Organic Waste & 0.5 \\ \hline Algae & 0.8 \\ \hline Year & Tons of organic waste available \\ \hline 1 & 350 \\ \hline 2 & 400 \\ \hline 3 & 250 \\ \hline \end{tabular} Fig \begin{tabular}{l|l|l|} \hline Market & Year & Demand (ton) \\ \hline \multirow{2}{*}{1} & 1 & 6545 \\ \cline { 2 - 3 } & 2 & 3657 \\ \cline { 2 - 3 } & 3 & 1345 \\ \hline \multirow{2}{*}{} & 1 & 5467 \\ \cline { 2 - 3 } & 2 & 8765 \\ \cline { 2 - 3 } & 3 & 2345 \\ \hline \end{tabular} \begin{tabular}{|l|l|} \hline Biomass & Yield to Bio-oil \\ \hline Organic Waste & 0.5 \\ \hline Algae & 0.8 \\ \hline Year & Tons of organic waste available \\ \hline 1 & 350 \\ \hline 2 & 400 \\ \hline 3 & 250 \\ \hline \end{tabular} Fig