Question

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.

Answer 1

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

Answer 2

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