A feasible region of a system of inequalities has vertices at the given points. Find the maximum and minimum values of the function f(x, y) = 4x + 5y. A(1, 2), B(1, 4), C(5, 2), and D(5, 8)

Q: Eva and Archer, the Magnificent Math Kitties are wanting to find the coefficients a, b, and c so…

A: Given: Let us consider the given function, fx=ax2+bx+c passes through the points (1, 2),(−1, 6), and…

Q: Which points below are NOT corner points of the following system of inequalities? Select all that…

A: Given information- We have given the inequalities. 10x + 5y ≤ 50 4x + 3y ≤ 24 X ≥ 0 Y ≥ 0 We have to…

Q: For X1 and X2 that maximize the values of Zz by using linear programming (graphical method) Maximize…

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Q: f(x, y, z) = x² + y² + z²; x² + y² + zª = 1

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Q: Find the set of solutions for the linear system 5x3 = 8.13 Use s1, s2, etc. for the free variables…

A: To find the set of solutions for the given system of equations.

Q: (3-T) Find the optimal solution of the following LP models. (Use Geogebra) Write your LP model.…

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Q: Maximize P = x1 + 2x2 + x3, Subject to: 3x1 + x2 + x3 <4 x1 + x2 + 2x3 < 4 æ1, X2, x3 and give the…

A: It is given that, Max P=x1+2x2+x3 Subject to the constraints, 3x1+x2+x3≤4x1+x2+2x3≤4and x1,x2,x3≥0…

Q: Minimize and Maximize Z= 40x+10y subject to 3x+y is greater than or equal to 42, x+y is greater than…

A: Z is maximum at D(36,0) and Zmax = 1440Z is minimum at A(0,42) and Zmin = 420Explanation:

Q: Minimize and maximize P= 2x, - 9x2 subject to Xq + X2 s20 5x, + 3x2 2 75 X1,X2 20

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Q: The following diagram shows a feasible region solution for a system of linear inequalities. If z =…

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Q: Use Lagrange multipliers to find the extreme values subject to the constraint please.

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Q: Maximize z = 10x₁ + 55x2 + 50x3, subject to 16x1 4x2+ 9x3 S 122 8x₁ + 13x2 + 22x3 ≤ 142 6x215x3 S…

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Q: (4-T) Find the optimal solution of the following LP models. (Use Geogebra) Write your LP model.…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: Find the set of solutions for the linear system X1 + 3x2 3x3 -10 X2 4x3 -3 4x3 -8 - Use s1, s2, etc.…

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Q: Maximize or minimize f(x) = ax3 + bx2 + cx + d.  There might be a maximum or a minimum or both or…

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Q: Use the simplex method to find the

A: Given,        Max(Z)=20x1+10x2subject to            4x1+x2+x3=30           2x1+3x2+x3≤60…

Q: Maximize P=2x1−3x2+4x3, Subject to: 4x1−3x2+x3 ≤3 x1+x2+x3 ≤10 x1,x2,x3 ≥0

A: The given problem is linear programming problem (LPP). To solve the problem we will use the simplex…

Q: Maximize P= 3x, + 3x2 + 4x3 subject to X1 + 2x2 + X3 s 35 2x1 + X2 + 2x3 s 100 X1 + 2x2 - X3 2 15…

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Q: Maximize z = 14x, + 3x, +3x2 subject to: 7x, +3x, s8 2

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