$2(25)$ A COMPANY HAS THREE PRODLC ION MLANTS AND THREE DISTRIBUTION STTES NUMBERS IN THE MATRIX SHOW TRANSPORTATION COST PER

TON OF PRODUCT. THE PRICE IS $105$ PER PRODUCT PRODUCTION COST IS $4$ S PER INIT THE COMPANY WANTS TO MAXIMIZE ITS PROFITS.

FORMULATE VROBL.EM AS A L$.$IXEAR PROCIRAMMING PROBL EM SET UP THE PROBI EM ONLY:

siti. $A$

SITE B

SITEC

CAPACITY$($TON$)$

$10$

PLANT I

$12$

$4$

ii$.$

$70$

PLANT$2$

$4.$

x$.$

PLANT $3$

$100$

DEMAND$($TON$)$