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What is programming?...

What is programming?

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Solve the following linear programming problem graphically : Minimize Z=x+2y subject to 2x+y ge 3, x+2y ge 6,x,y ge 0 .

The graph of a linear programming problem is given below. The shaded region is the feasible region. The objective function is Max Z=px+qy (i) What are the coordinates of the corners of the feasible region. (ii) Write the constraints. (iii) If the Z occurs at A and B, what is the relation between p and q. (iv) If q=1 write the objective, function. (v) Find the Max Z.

Solve the following linear programming problem graphically. Minimize Z=200 x+500 y subject to the constraints: x+2y ge10 3x+4y le 24 x ge0, y, ge0