00:01
Here the random variable x1 is number of chairs, x2, number of sofas, x3, number of tables, and the function is maximum z is equal to 60x1 plus 50x2 plus 100 x3, subject to the constraints, 6x1 plus 8x3, less than or equal.
00:34
To 7884 x1 plus x2 plus 2 x3 less than or equal to 152 and 4x1 plus 4 x2 less than or equal to 448 after introducing the slack variables we will get the new objective function as maximize is that is 60 x1 plus 50 x2 plus 100 x3 plus 0 s 1 plus 0 s 2 plus 0 s 2 plus 0 s 2 plus 0 s 2 plus 0 s 3 subject to 6x1 plus 3 x2 plus 8 x3 plus s 1 equal to 784 and x1 plus 2 x2 plus 2 x2 plus s2 equal to 152 and 4x1 plus x2 plus x3 equal to 4148 now based on this we can form here simplex table so here the basic variables we can take it as s1, s2, s3 and cbr 0 -00 and cj 60 -50, 100 ,000 -0 -0 -0, and xb, 784, 152, 4488, and x1 -6148, and x1 4148, and x1 4148, x1 414, x1, 61 4, 61 4, 61 4, and 8, 61, 61, 61, 61 4, 61 4.
02:14
To 0 -1 -0 -0 -0 -1 -0 okay this is x1 x2 x3 s 1 s2 s 3 and z j minus e j so first we have to find z -j which is 0 -0 -0 -0 -0 -0 and z j minus cj is minus cj is minus 60 minus 50 minus 100 zero zero zero zero and here, zj minus cj is having the minimum value, so which corresponds to index 3.
02:52
Therefore, x3 enters the basis.
02:55
S1 leaves the basis because the pivot element is s1.
03:01
Pivot element is 2 which corresponds to s1.
03:05
Therefore, we can have the new data as a new table.
03:08
That is r2 tends to r2 minus 1 by 2 and r1 tends to r1 minus 8 r2...