Which among the following is a corner point in the feasible region of the system 2x + y ≤ 12 x + 6y ≥ 26  (A) (12,0) (B)  (1,0) (C) (0,6) (D) (6,0)

Q: Solve the given linear programming problem. Minimize z 6x +dy subject to x 2 0, y 2 0, x + y 2 4, x=…

A: The given subject to constraints:-  x≥0,y≥0, x+y≥4, x≤8,y≤10. Maximizing z=6x+4y

Q: Also, we must have *20. y20. Therefore, the above problem can be fomulated as follows: find x and y…

A: # we are entitled to solve one question at a time, please resubmit the other question which you wish…

Q: 1. Shade and label the feasible region R which satisfies: y<-x+6 3 y2-xーニ 2 1 2 y< 2x+4 y54 [5M]

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Q: Maximize 3x₁ + x2 subject to -₁ + 2x2 ≤ 0 X₂ ≤ 4. a. Sketch the feasible region. b. Verify that the…

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Q: 3. Minimize: Z = 20x + 10y and the constraints are : x + 2y < 40, 3x + y 2 30, 4x + 3y 2 60, x 2 0,…

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Q: When critical point of the autonomous system is said to be unstable ?

A: Critical points are the points where the function is defined and its derivative is either zero or…

Q: Also, we must have *2 0. y20. Therefore, the above problem can be formulated as follows: find x and…

A: The given linear programming problem is:              Maximize z=2x+1.25y  subject to the…

Q: 6. In Genshin Impact, the optimal crit rate r to crit damage y ratio can be obtained by maximizing…

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Q: The corner points for the bounded feasible region determined by the system of inequalities shown…

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Q: 1. Find the maximum of P-4x+5y subject to 2x+y10 x20, y20 Sketch your feasible region and find all…

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A: Given:  The function is  f(x,y,z)=x2+2y-z2And subject to the constraints  2x-y=0 and y+z=0

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Q: Find the maximum and minimum of 2x – 3y with respect to the feasible set: "x > 0 y > 0 y sx + 1 y 2…

A: Find the maximum and minimum of 2x-3y with respect to the feasible set as follows. The given…

Q: Adi maximizes his utility by consuming goods x and y and his utility function is given by: Max U =x…

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Q: 1. Maximize: Z = 50X, + 100X; + 150X, Subject to: 2X, + 2X2 s 200 3X, s 150 4X, + 4X3 5 600 X,2 0,…

A: Now we will find the solution using Simplex method

Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use…

A: To apply Lagrange multiplier to determine the maximum and minimum , for the given data

Q: Locate the feasible region whose boundary lines are graphed below." Given the following constraints…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: 1. Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = 4x - y subject to…

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Q: * - (G 7)x+()

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Q: Maximize p = 5x − 4y + 3z subject to 10x + 10z ≤ 100 5y − 5z ≤ 50 10x − 5y ≤ 50 x ≥ 0, y ≥ 0, z ≥…

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Q: 1. Without using Lagrange Multipliers, find three positive numbers whose sum is 100 and whose…

A: let the numbers be "x" and "y" Given the sum of numbers is 100  then  x+y=100                  Then…

Q: 3. Minimize: Z = 20x + 10y and the constraints are: x + 2y s 40, 3x + y 2 30, 4x + 3y 2 60, x 2 0, y…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: Minimize ƒ(x, y, z) = xyz subject to the constraints x2 + y2 - 1 = 0 and x - z = 0

A: y = √(1 - x2); z = x Hence we have to minimize, f = x2√(1 - x2)

Q: 7- 4 3- 2 2 3 4 5 6 Minimize -3 x-y for the bounded feasible region displayed above.

A: Given ,  We have to minimize - 3x - y for the bounded feasible region displayed above

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Q: Sketch the graph of the solution set of the system of inequalities. Label the vertices of the…

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Q: The corner points for the bounded feasible region determined by the system of inequalities shown…

A:

Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use…

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Q: The corner points for the bounded feasible region determined by the system of inequalities shown…

A: E is true.

Q: 6. Maximize z-x, + 2x2 + 3x3 + x4 subject to 2x, + x, + x, + 2x, s 18 3x, +5x2+ 2x,+ 3x, s24 3x, +…

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Q: Sketch the graph of the solution set of the system of inequalities. Label the vertices of the…

A: Let's find.

Q: 12. Minimize 3x + 5y + z subject to the constraints x + y+ z2 20 y+ 2z 10 xN0, y>0, zN0.

A: Given: The value 3x + 5y + z is minimized and it is subjected to the constraints as follows,

Q: Minimize ƒ(x, y, z, w) = x2 + y2 + z2 + w2 subject to the constraints 2x - y + z - w - 1 = 0 and x +…

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Q: D. Maximize z = 10x + 12y subject to: 3x +y < 15, x+ 2y 18, x 2 0, y20 Graph and shade the feasible…

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Q: Since the feasible region is closed and bounded, we know that the maximum value will occur at…

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Q: 7- 4- 3- -1 2 3 4 5 6 7 8 9 10 Maximize x-5 y for the bounded feasible region displayed above.

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Q: 3. Find the maximum/minimum value of y = 2x² + 7x - 10 and where it occurs using partial factoring.

A: Given function is y=2x2+7x-10 we can write it as y=x(2x+7)-10

Q: Find maximum and minumum values of f(x, y, z) = 5x – 10y + 25z subject to the constraint a2 +y² + z²…

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Q: 6. In Genshin Impact, the optimal crit rate z to crit damage y ratio can be obtained by maximizing 2…

A: We have the following optimization problem : maximize :  z = xy constraint :  x + y/2 = 100

Q: У'-у%35х, у(0) -0, у'(0)-1. – y

A: NOTE: Refresh your page if you can't see any equations. . find roots for the homogeneous system…

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: Consider the region given by z ≤ 2, x+y 23, 2 2 + y - 254, x, y, z 20 (a) Formulate the problem…

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Q: Minimize f(x,y,z) = 3x2+4y2+6z2 subject to the constraint 3x+7y+8z=20. a.) When the minimum…

A: Given that , fx,y,z=3x2+4y2+6z2 and gx,y,z=3x+7y+8z-20 According to our guidelines , We can answer…

Q: Suppose the product of x and y is 49 and both x and y are positive. What is the minimum possible sum…

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Q: 4. Find the maximum and minimum values of y=3+12x+3x2-2x. State which are maximum and which are…

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