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\f\f(0) Identify the optimal solution. How much is the maximum profit? ~ 3 = 410, y = 0 is the optimal solution, and the maximum profit is $153,750 ~ 3 = 210, y = 200 is the optimal solution, and the maximum profit is $165,750 ~ 3 = 320, y = 90 is the optimal solution, and the maximum profit is $159,150 \" z = 500, y = 0 is the optimal solution, and the maximum profit is $187,500 \" a: = 100, y = 200 is the optimal solution, and the maximum profit is $124,500 ~ 3 = 0, y = 200 is the optimal solution, and the maximum profit is $87,000 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 $435. 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: Maximize P = 3752 + 435;; z + y g 410 1053 + zany g 52, 500 y S 210 myyZU Maximize P = 3752 + 435;; z + y g 410 105:; + 2101, g 52, 500 y S 200 my?!) Maximize P = 3752 + 435g 3 + y g 105 4103 + 2101, g 52, 500 y S 200 z,y20 Maximize P = 3753 + 435g 3 + y g 52, 500 1052 + 210?, g 410 y S 200 my?!) m \f