$-($MBA$/$PU$/$MAY $97)-$

$20.$ Messer Electronics Ltd$.$ manufacture transistors in three models A$,$ B and C whose contribution to profits are Rs$\mathrm{.}80,$ Rs$.150$ and Rs$.250/-$ per set respectively. Each type has to be processed and completed in the three main departments viz. manufacturing, assembly and packing : Following table indicates time in hours per dozen sets of each category in each department :

$\backslash$table$[[$Department$,$Category,$\backslash$table$[[$Capacity in$],[$hrs$.$ per week$]]],[,$A$,$B$,$C$,150],[$Manufacturing$,3,3\mathrm{.}5,5,200],[$Assembly & testing,$4,5,8,60],[$Packing$,1,1\mathrm{.}5,3,]]$

$10$:$10$ PM

The manufacturers feel that they can sell any type in any number. but they want to know how many sets of what category should be manufactured weekly so as to get the maximum gross profit. Give your advice to them on the basis of the above data.

$($PDPE$/$BTEM$/1972).$