Prove that y, + y, +2y, 56 is a valid Gomory cut for the following feasible region. X-{yeZ: 4y, +5y, +9y, +12y, 5 34}.
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A: Given maximize: fx,y=2x+3xy+yconstraint: x+2y-29=0.
Q: 1. Shade and label the feasible region R which satisfies: ys-x+6 1 y2-xーー y< 2x+4 y54
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Q: Find ff 3xydA over the triangular region D with vertices (0,0) (2,0), (0, 4)
A: We will solve the problem
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A: Here's in the graph there are four constraints, we will check all points which one is maximum.
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- Prove that y2 + y3 + 2y4 ≤ 6 is a valid Gomory cut for the following feasible region. X = {y ∈ Z+4 : 4y1 + 5y2 + 9y3 + 12y4 ≤ 34 }Graph the boundary lines of the feasible region defined by the following inequalities. Then sketch the feasible region. 9x + 4y ≤ 36 6x + 5y ≤ 30 x + 3y ≤ 12 x ≥ 0, y ≥ 0Use Lagrange multipliers to find the shortest distance from the given point to the following plane. (5, 4, −4); x + y − z = 1
- Find the values of x, y, and z that maximize xyz subject to the constraint 192−x−8y−16z=0. x=_________?Given U = 2xy, Px = 3, Py = 4, and I = 90 Use the Lagrange multiplier method to find the optimal levels of purchase of X, Y and U. Verify if the second condition for maximum is satisfied by using bordered Hessian.The donor is being given.Of the T-donut,a) Show that it is linear.
- Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize f(x, y) = 2x + 3xy + y Constraint: x + 2y = 29Prove that if you minimize the square of the distancefrom the origin to a point (x, y) subject to the constraintg(x, y) = 0, you have minimized the distance from theorigin to (x, y) subject to the same constraint.Use the method of Lagrange multipliers to show that for x, y ≥ 0, we have