$($Attempt any four$).$

An ABC cement company, department stores wish to purchase $12,000$ handbags of which $3,000$ are of style $L,2,000$ are of style $M,4,000$ of style $N$ and $3,000$ are of style $O.$ Four manufacturers $J,K,L$ and $M$ bid to supply not more than the following quantities, all styles combined. $P=2,500,Q=3,600,R=3,500$ and $S=3,000.$

The following table gives the cost per handbag of each style of the bidders in OMR. per handbag:

Style Manufacturers

$\backslash$table$[[,J,K,L,M$