Use graphical methods to solve the linear programming problem Maximize z = 6x 7y subject to 2x 3y ≤ 12 2x y ≤ 8 x ≥ 0 y ≥ 0 A) Maximum of 24 when x = 4 and y = 0 B) Maximum of 32 when x = 2 and y = 3 C) Maximum of 32 when x = 3 and y = 2 D) Maximum of 52 when x = 4 and y = 4 Answer by jim_thompson5910() (Show Source)1) xy = 3 2) xy = 5 First solve the equations for y 1) xy = 3 Subtract x from both sidesy = x3 Now multiply both sides by 1 to make the y positive y = x3 2) xy = 5 Subtract x from both sides y = x5 Now the graph From the graph, you can see that the two lines intersect at the point (4, 1) and this is the solution to the system ofAnswer (1 of 4) Using elimination 2x 3y = 5 ———(1) 4x—7y = —3 ———(2) Multiply eq (1) by 4 and eq (2) by 2 8x 12y = ———(3) 8x—14y = —6 ———(4) 26y = 26 Divide both sides by 26 y = 1 Substitute 1 for y in eq (1) 2x 3(1) = 5 2x 3 = 5 2x = 5—3 2x = 2 divide both sides by 2 x
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