Determine where the following two constraints intersect.
2X - 4Y = 800
−X + 6Y ≥ -200
Determine where the following two constraints intersect. 2X - 4Y = 800 −X + 6Y ≥...
Maximize 4x + 6y subject to the following constraints (using the simplex method) x + 4y <= 4 3x + 2y <= 6 x>= 0, y>= 0
(1 point) Give a geometric description of the following system of equations 1 2x + 4y - 6z Two parallel planes = " -3- 6y + 9x = 2x + 4y - 62 = Two parallel planes 2. ** –3x - 6y + 9z = 4y - O2 = Two planes intersecting in a line 73. 21 * -x + 5y - 92 = 12 16 –12 18 12 1 T
Find the values of x1 and 2 where the following two constraints intersect. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.) (1) 5x1 + 712 59 (2) 3x + 3x2 2 13 X1
Minimize the objective function 1/2x+3/4y subject to the constraints (In graph form please) 2x+2y>=8 3x+5y>=16 x>=0, y>=0
solve for x and y, linear equations using the elimination method 2x+6y=-2 5x-3y=3 and -9x+3y=5 9x+4y=-6 is the following system dependentinconsistent or does it have a unique solution? why is this so? x-8y=9 6x-48y=36
Solve the following problem using Lagrange multiplier method: Maximize f(x,y,z) = 4y-2z subject to the constraints 2x-y-z 2 x2+y2- 1 1. (1) (2) (Note: You need not check the Hessian matrix, just find the maximum by evaluating the values of f(x,y,z) at the potential solution points) Also, using sensitivity analysis, find the change in the maximum value of the function, f, if the above constraints are changed to: (3) (4) 2x -0.9y-z 2 x2+ y2- 0.9. Solve the following problem...
Solve the following problem using Lagrange multiplier method: Maximize f(x,y,z) = 4y-2z subject to the constraints 2x-y-z 2 x2+ y2- 1 (1) (2) (Note: You need not check the Hessian matrix, just find the maximum by evaluating the values of f(x,y,z) at the potential solution points) Also, using sensitivity analysis, find the change in the maximum value of the function, f, if the above constraints are changed to: (3) (4) 2x-0.9y-z =2 x2+y2- 0.9 Solve the following problem using Lagrange...
Consider the following linear programming problem: Minimize 20X + 30Y Subject to: 2X + 4Y ≤ 800 6X + 3Y ≥ 300 X, Y ≥ 0 What is the optimum solution to this problem (X,Y)? A) (0,0) B) (50,0) C) (0,100) D) (400,0)
Solve the following system of equations. 2x+4y = 8 3x + 4y = 16 x = 0 Olo X y = -1
Consider the system of equations shown below. 2x - 4y + 5z = 10 -7x + 14y + 4z = -35 3x - 6y + z = 15 (a) Determine whether the nonhomogeneous system Ax = b is consistent. O consistent O inconsistent (b) If the system is consistent, then write the solution in the form x = Xp + xn, where xp is a particular solution of Ax = b and xn is a solution of Ax = 0....