# math,help

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also can somone explain to me these types of problems.

directions are introduce slacks variables as necessary, then write the intial simplex tableau for each linear programming problem.

find x1 >= 0 and x2 >= 0 such that
x1+x2<=10
5x1+3x2<=75
and z=4x1+2x2 is maximized.

• math,help -

1 2 3 115
2 1 1 200
1 0 1 50
1 1 4 0 is the first augmentation

1 2 1 1
2 1 0 1
3 1 1 4
115 200 50 0 is the second augmentation.

z = -w = -y1-y2-4y3
y1+2y2+3y3 >= 115
2y1 +y2+ y3 <= 200
y1 + y3 >=50

y1 y2 y3 s1 s2 s3 z
1 2 3 1 0 0 0 115
2 1 1 0 -1 0 0 200
1 0 1 0 0 1 0 50
-1 -1 -4 0 0 0 1 0 is the last augmentation and that is as far as I can get

• math,help -

2x1+5x1/10+5x1/100 in decimal number

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