$4.$A COMPANY HAS THREE PRODUCTION PLANTS AND THREE DISTRIBUTION SITES.

NUMBERS IN THE MATRIX SHOW TRANSPORTATION COST PER TON OF PRODUCT.EACH PLANT HAS $2,5,7$

PRODUCTION COST PER UNIT $.$THE PRICE PER UNIT OF THIS PRODUCT IS $30.$COMPANY WANTS TO MAXIMIZE ITS TOTAL PROFITS.

FORMULATE PROBLEM AS A LINEAR

PROGRAMMING PROBLEM.SET UP THE PROBLEM ONLY.

$\backslash$table$[[,$SITE,SITE$],[,$SITE A$,$B$,$C$,$CAPACITY$($TON$),,],[$PLANT $1,10,4,11,70,,],[$PLANT $2,12,5,8,50,,],[$PLANT $3,9,7,6,150,,],[$DEMAND$($TON$),100,100,70,,,]]$