If we keep the contraints same as the problem (the LPP given in ) and change the objective function as Max Z=y then show that `Z_(max)=13/3`

Let A(0, 75), B(90, 0) , C(60, 40) and D(45, 25) be the corner points of the bounded feasible region of a LPP . If the objective function is Z= 3x + 4y , then Z is maximum at corner point-

If x, y, z are three sum of money such that y is the simple interest on x and z is the simple interest on y for the same time and at same rate of interest, then we have____

Make a graphical representation of the set of constraints in the following LPP Maximimize Z= x+y Subject to the constraints 5x+10y le50 x+y ge1 and x ge 0, y ge 0 show that the LPP has unique optimal solution

In each of the following cases show that the given system of linear equations has infinite number of solutions: 2x - y + 3z = 5, 3x + 2y -z = 7, 4x + 5y - 5z = 9

In the reaction 3Xrarr2Y+Z , the rate of disappearance of X at a given time is 0.072"mol.L"^(-1).s^(-1) . Calculate the rate of formation of Y and that of Z at the same time ?

A system undergoes the process: A to B to C to D . In this process, the change in a state function (X) of the system is x. in the steps A to B and B to C of the process, if the changes in X are y and z respectively, then the change in X in step D to C is-

Given the LPP min Z=3x-y Subject to the constraints 2x+3ygt1 and x,ygt0 The optimal solution of the LPP is

If z = x + iy and |2z+1|=|z-2i| ,then show that 3(x^(2)+y^(2))+4(x+y)=3

The electric potential at a point is given by V=3x^2y+5y^2z+7z^2x Find the magnitude of electric field at the point(3,2,1)