ar/assignments/1.tex

   1 \section{Problem 1}
   2 {\em
   3 Six trucks have to deliver pallets of obscure building blocks to a magic
   4 factory. Every ruck has a capacity of 7800 kg and can carry at most
   5 eight pallets. In total, the following has to be delivered:\\
   6 \begin{itemize}
   7         \item Four pallets of nuzzles, each of weight 700 kg.
   8         \item A number of pallets of prittles, each of weight 800 kg.
   9         \item Eight pallets of skipples, each of weight 1000 kg.
  10         \item Ten pallets of crottles, each of weight 1500 kg.
  11         \item Five pallets of dupples, each of weight 100 kg.
  12 \end{itemize}
  13 Prittles and crottles are an explosive combination: they are not allowed to be
  14 put in the same truck.\\
  15 Skipples need to be cooled; only two of the six trucks have facility for
  16 cooling skipples. Dupples are very valuable; to distribute the risk of loss no
  17 two pallets of dupples may be in the same truck.\\
  18 Investigate what is the maximum number of pallets of prittles that can be
  19 delivered, and show how for that number all pallets may be divided over the six
  20 trucks.
  21 }
  22
  23