# SOLUTION: Can someone explain to me how to maximize by the simplex method? I get confused after the second step. Here is the problem, Maximize P=0.3x ++ 0.4y Subject to: 4x + 8y equals o

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: Can someone explain to me how to maximize by the simplex method? I get confused after the second step. Here is the problem, Maximize P=0.3x ++ 0.4y Subject to: 4x + 8y equals o      Log On

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 Click here to see ALL problems on Linear-systems Question 221527: Can someone explain to me how to maximize by the simplex method? I get confused after the second step. Here is the problem, Maximize P=0.3x ++ 0.4y Subject to: 4x + 8y equals or less than 1600 12x+8y equal or less than 1920 x equal to or greater than 0; y equal to or greater than 0 Please help me. I know how to do the first step of charting but the second step on confuses me? How do I decide which negative should be the pivot point?Answer by stanbon(57282)   (Show Source): You can put this solution on YOUR website!Here is the problem, Maximize P=0.3x ++ 0.4y Subject to: 4x + 8y equals or less than 1600 12x+8y equal or less than 1920 x equal to or greater than 0; y equal to or greater than 0 Please help me. I know how to do the first step of charting but the second step on confuses me? How do I decide which negative should be the pivot point? ------------------------------------------ Solve each of the inequalities for "y" y <=(-1/2)x + 200 y <= (-3/2)x + 240 --------------------------- Plot those boundary lines and the intersecting solution regions. -------------------------- Find the corners of the solution region:(0,0),(0,200),(40,180),(160.0) ---------------------- Check each of those number pairs in P=0.3x + 0.4y to determine which pair give you the maximum "p" value. (0,0) gives P = 0 (0,200) gives p = 0 + 0.4*200 = 80 (40,180) gives p = 0.3*40 + 0.4*180 = 84 (150,0) gives p = 0.3*150 + 0 = 45 -------------------------------------------- So (40,180) gives the maximum Profit. =============================================== Cheers, Stan H.