Use the method of this section to solve the linear programming problem. Maximize P = x − 3y + z subject to 2x + 3y + 2z ≤ 4 x + 2y − 3z ≥ 2 x ≥ 0, y ≥ 0, z ≥ 0 The maximum is P = at (x, y, z) = .
4x - 162= 56 2x - 3y - 3z = 31 2x+ 2y - 3z = 1 2x + 2y + 2z = - 14 Select the correct choice below and, if necessary, fill in the answer boxes to complete your ch O A. 16 x= 4, y = 3.za 2 (Type integers or fractions.) OB. X=ry Z= (Type integers or tractions.) OC. There is no solution
12: Find a basis B for R', such that the matrix for the linear transformation T: R' R', T(x,y,z)-(2x-2z,2y-2z,3x-3z) relative to B is diagonal. 12: Find a basis B for R', such that the matrix for the linear transformation T: R' R', T(x,y,z)-(2x-2z,2y-2z,3x-3z) relative to B is diagonal.
Solve 3x + 2y – z = 1x – 2y + z = 02x + y – 3z = -1
#2. Solve the system of equations by any method. ( x + 2y + 3z + 4w = 5 J -5x - 4y + 3z + 2w = 1 1 x-y+z-w = 1 2x + y + 2z + w = 2 Answer: (x,y,z,w) =
z -1 2+32 subject to x*y . Find the maximum and minimum values of f(x, y,z) x + 2y and x-y +2z + 2. z -1 2+32 subject to x*y . Find the maximum and minimum values of f(x, y,z) x + 2y and x-y +2z + 2.
Solve using matrices. 2x+ 2y- 2z - 2w = -14 w + y + z + x = -7x - y + 4z + 3w = 0w - 2y + 2z + 3x = -2The solution is _______
Maximize p = 3x + 6y + 3z + 6w + 3v subject to x + y ≤ 3 y + z ≤ 3 z + w ≤ 9 w + v ≤ 12 x ≥ 0, y ≥ 0, z ≥ 0, w ≥ 0, v ≥ 0. p = (x,y,z,w,v)=
solve the system -x+y+3z=-3 x-2y-2z=8 3x-y-4z=6
Use matrices and row operations to solve the following system of equations: 2x-y+3z=7 x-y-z=0 -3x-2z=-11