You have boxes of five types. They are characterized by their length $L$, their width $W$, their height $H$, their age $A$, and their price $P$, as given in the following table: $$\begin{array}{cccccc} \hbox{type} & L & W & H & A & P \\ I & 1 & 1 & 1 & 1 & 1 \\ II & 1 & 1 & 2 & 3 & 2 \\ III & 1 & 2 & 3 & 2 & 2 \\ IV & 1 & 2 & 4 & 1 & 2 \\ V & 1 & 2 & 5 & 1 & 3 \\ \end{array}$$
So for example, boxes of type IV measure 1 by 2 by 4 feet, are a year old, and cost\char 36 2.- each. Suppose the sum of the lengths of your boxes is 27, the sum of their widths 45, the sum of their heights 83, the sum of their ages 40, and the total price of those boxes 54.
You have

boxes of type I,
boxes of type II,
boxes of type III,
boxes of type IV,
boxes of type V.