Problem 3
It s known that 1 out of 100 boxes found n a warehouse suffered from
rad oact ve contam nat on, but t s not known wh ch box t s. By law, boxes
that are exposed to rad oact ve contam nat on must be destroyed. A dev ce
used to determ ne rad oact ve contam nat on can measure the des red number
of boxes at a t me, but f there s a contam nated box among the boxes
measured together, the contam nat on can be transm tted to others. The value
of each of the clean boxes s 10 € and the cost of us ng the dev ce once s 10
€. The box d sposal process does not br ng an add t onal cost. Determ ne the
lowest cost measurement/d sposal method, tak ng nto account the damage
caused by the number of boxes destroyed and the cost of test ng.