1. Sketch the solution sets of the following systems of linear inequalities. (a) x – y< 10 (b) 3x – 4y > 14 x + y< 5 x + y<5

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: Maximize f = 7x + 5y subject to the following constraints: 3x + 4y < 24 2x + 1y ≤ 10 x ≥ 1 Find the…

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Q: Minimize c = 7s + 7t + 6u subject to %3D s + u 2 300 3s +t 2 150 s2 0, t 20, u 2 0. Maximize p = 7x…

A: The given linear programming problem is a minimization problem and we have to find the dual of this…

Q: The minimum value of the function f(x, y) = x + y subject to constraint x² + y² = 2 is not equal to…

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Q: Maximize the function p = -x+y over the following constraints: a) x+y>=4, x>=0, y>=0, -x+2y<=2,…

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Q: 3. Find the solution of the following system of liner inequalities by graphing: (K + 2y > 5x + 3y…

A: Given system of linear inequalities are K+2y&gt;5x+3y 4y ≥(K+1)x+2   To Find: Solution using…

Q: Calculate the minimum value of 3x + 6y subject to the following constraints: x+y2 2 x + 2y s 5 x+ys6…

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Q: Maximize f = −x + 4y + 5z subject to the following constraints. x  +  y  +  z  ≤  55 −x  +  y  +  z…

A: Use the simplex method to evaluate the optimization problem. Convert the equation into canonical…

Q: 2. Graph the solution region of each of the following systems of inequal- ities. (a) 6x + 12y 0, y…

A: Given: a) 6x+12y≤15, y≥2x-3 with x≥0, y≥0 b) y&lt;x, 2y+4&gt;x with y≥0

Q: The maximum value of the function f(x, y) = x + y subject to constraint x² + y² = 2 is not equal to…

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Q: 3. Find the absolute maximum and minimum values of f(x, y) = x²y subject to the constraint x2 + y? =…

A: f(x,y)=x2y Constraint is:  g(x,y)=x2+y2-1

Q: Consider the following system of inequalities. 9x + 4y ≤ 36 6x + 5y ≤ 30 2x + 5y ≤ 20 x ≥ 0 y ≥ 0…

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Q: Find the values of​ x, y, and z that maximize xyz subject to the constraint 192−x−8y−16z=0.…

A: Use the lagrangian's multiplier  xyz+λ192-x-8y-16z Partially differentiate with respect to x, y, z…

Q: Solve the following system of linear inequality by Mixed Cut Method Maximum Z = x1 + x2 Subject to…

A: It is required to solve the given linear programing problem: Maximum Z = x1 + x2Subject to 0x1 + 2x2…

Q: The minimum value of the function f(x, y) = x + y subject to constraint x² + y² = 2 is equal to (1,…

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Q: The maximum and minimum values of 2x + 3y subject to the constraint x + y = 1, where 0 ≤ x,0 ≤ y,…

A: Given that 2x+3y  subject to constraint x+y=1 where x≥0, y≥0.

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

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Q: Find the extreme values of ƒ(x, y) = xy subject to the constraint g(x, y) = x2 + y2 - 10 = 0.

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Q: Find the maximum and minimum values of x2 + y2 subject to the constraint x2 - 2x + y2 - 4y = 0.

A: Given

Q: Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint x? + y? +…

A: The given function is; f(x,y,z) = 8x-16y+40z

Q: The minimum value of f(x,y) = x^2y + 3y^2 - y subject to the constraint x^2 + y^2 = 10 is.........?

A: We need to find the minimum value of f(x,y) = x2y + 3y2 - y subject to the constraint x2 + y2 = 10.…

Q: 1. Convert the constraint inequalities 3x + 5y < 15 and 3x + 6y < 20 to equations containing slack…

A: Slack variable is a variable that is added to an inequality constraints to transform it into an…

Q: 1. Sketch the solution sets of the following systems of linear inequalities. (b) 3x x - y s 10 x + y…

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Q: Consider the following system of linear inequalities: (2 points) Which of the following is the…

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Q: 1. Find the maximum and minimum values of the function f(x,y) = 2x + 5y that satisfy the solution…

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Q: Solve the following maximization problems with equality constraints. max f(x₁, x₂) = 12 subject to…

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Q: Find the values of x, y that maximize 5 - 2x2-2xy-y2 +x+4y 7 subject to the constraint x+y- =0

A: let f=-2x2-2xy-52y2+x+4y x+y-72=0y=72-x substitute y value in f…

Q: Find the minimum and maximum values of the function subject to the given constraint. f (x, y) = 2x +…

A: Given: f (x, y) = 2x + 3y, x2 + y2 = 4

Q: 1. Find the maximum value of the function P(x,y) = 3x + 2y subject to the constraints x + 2y 0, and…

A: The function, Px,y=3x+2y subject to constraints x+2y≤4, x-y≤1, x≥0, and y≥0.

Q: Find the relative maximum value of ​f(x,y)=3xy​, subject to the constraint x+y=4 Find the relative…

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

Q: 2. Find the absolute maximum and minimum of f(xx) = xX subject to the constraint g(xx) = x2 + 8y2 =…

A: We use langrange multiplier method

Q: Find the maximum value of P(x,y) = 12x + 15y subject to the constraints: x>0 y 0 4x + 3y 12

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Q: Sketch the Solution Set of inequalities. Label the vertices of region. 4x -6y 72 -2x + 3y 7 5 graph…

A: Given,

Q: Maximize f = 4x + 7y subject to the following constraints: x+2y≤7 5x+3y≤12 y≤3 x and y are…

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Q: Sketch the graph of the solution set for the following system of inequalities: Sy z nx + b (n 0)…

A: Given, y≥nx+b  (n&lt;0, b&gt;0)y≤mx+b (m&gt;0,b&gt;0) sketch the graph of the solution set nx+b ≤ y…

Q: Find the minimum value of f subject to the given constraint. f(xy) = 3x +y -4xy; x+y= 24

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Q: The maximum value of the function f(x,y) = (xy) subject to the constraint %3D g(x,y) = + y? = 1, is…

A: Consider the given equation. fx,y=xy6x24+y2=1 Now, apply the Langrenges multiplier. Find the…

Q: The maximum value of x + y + z subject to the constraint x² + y² + z² = 1 is Write in decimal form…

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Q: 1. given the inequality: 2x + y < 6 2x + 3y < 12 0 sys 12 X 2 0 Find the solution area for the…

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Q: The minimum point of the function f(x, y) = x + y - 8 subject to the constraint x + y = 2 is at, -…

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Q: 4. Shade the solution of each system of inequalities on the given graph. Įx – y2 0 Jx – y s0 (а) (b)…

A: a. it is the region shaded by both red and blue.   b.

Q: Calculate the minimum value of 9x + 5y subject to the following constraints: x +y2 20 x + 2y 2 26 2x…

A: Find the minimum value of 9x+5y subject to the constraints,  x+y≥20x+2y≥262x+y≥29x≥0y≥0  as follows.…

Q: 2. Show that the feasible set constrained by the inequalities x > 0, y > 0, 2x+5y < 3, -3x+8y < -5…

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Q: Find the minimum value of the function f(x, y) = x²y* subject to the constraint x2 + y2 = 12.

A: Minimum value of the function

Q: Find the minimum and maximum values of the function subject to the constraint. = 3x + 2y + 4z, x2 +…

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Q: (a) Let f(x, y) = x² + 2y². Find the extreme values of f(x,y) subject to the constraint equation x²…

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Q: 10. Let f(x, y) = x²y + y. Find the minimum and maximum values of f subject to the constraint x² +…

A: Given: fx,y=x2y+y The constraint equation is: gx,y=x2+y2=5   Now apply the Lagrange's multiplier;…

Q: Find the absolute maximum and minimum values of f(x, y) = 2x2 + 3y2- 4x +5 subject to the constraint…

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Q: Find the minimum value of f(x,y)=48x2+30y2 subject to the constraint x2+y23D361

A: Since you have asked multiple questions in a single request we would be answering only the first…