O'Brien family owns 410 acres of farmland on which they grow corn and tobacco. Each acre of corn costs $105 to plant, cultivate and harvest; each acre of tobacco costs $210. O'Briens have a budget of $52,500 for the next year. The government limits the number of acres of tobacco that can be planted to 200. The profit from each acre of corn is $375; the profit from each acre of tobacco is $475. O'Brien family wants to know how many acres of each crop to plant in order to maximize the profit.

(a) Formulate a linear programming model for this problem: 0 Maximize P = 3753 + 4753; m + y S 410 1053: + 2103; S 52, 500 y g 200 may>0 0 Maximize P = 375m + 4753; m + y S 52, 500 1053: + 2103; g 410 y g 200 m,y>0 O Maximize P = 375m + 4753; m + y E 105 4103: + 2003; g 52, 500 y g 210 @3120