A Shipping Freighter Has Space for Two More Shipping Containers

Essay

A shipping freighter has space for two more shipping containers, but the combined weight cannot go over 20 tons. Four shipping containers are being considered. The following table provides details on the weight (in tons) and value of the contents of each container. $$\begin{array} { l l l l l } \text { Container } & 1 & 2 & 3 & 4 \\\hline \text { Weight of container (tons) } & 5 & 6 & 9 & 7 \\\hline \text { Value/Container } & \$ 6000 & \$ 5500 & \$ 7500 & \$ 6000\end{array}$$ ​
Develop a binary integer model that will determine the two containers that will maximize the value of the shipment.