03. Find the absolute maximum and the absolute minimum values of the function SCx. y.2) x+ y²+z subject to the constraints z =x+y and +y-z+1 = 0. %3D

Q: The minimum value of J.y,Z) = 6x - y – óZ subject to the constraints *+y -Z=0 and ? + 2? = 1 is?

A: Given,          The minimum value of fx,y,z=6x-y-6z subject to the constraints x+y-z=0 and x2+2z2=1.

Q: Find the maximum value of Z = 2x + 3y subiect to the constraints : x +y < 30, y 2 3, 0sy s 12, x -y…

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Q: Find the maximum possible value of f = 100x +100y and the values of x and y that give that…

A: GIVEN f = 100x +100y we need to find the maximum possible value of f,

Q: 9. Let f(x, y) = 2x + 3y. Find the minimum and maximum values of f subject to the constraint x2 + y?…

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Q: Find the extreme values of f subject to both constraints. (If an answer does not exist, enter DNE.)…

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Q: Find the maximum value of Z = 2x + 3y subiect to the constraints : x +y < 30, y 2 3, 0sy s 12, x - y…

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Q: 4. Find the (absolute) maximum value and (absolute) minimum value of the function f(x, y, z) = 3x +…

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Q: 5. The function f(x,y) = 6x+y has an absolute maximum value and absolute minimum value subject to…

A: Given fx,y=6x2+y2 and constraint is x2+5y+y2=24 We have to find the Absolute maximum value and…

Q: maximum

A: To Find: maximum and minimum values of z = 9x + 10y, subject to the following constraints…

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Q: Find the extreme values of f(x, y, z) = x + 2y + 3z subject to the two constraints x + y + z = 1 and…

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Q: . Find the maximum possible value of f = 20x + 30yand the values of x and y that give that value,…

A: Definition used -      Maximum possible value -       We will graph the given inequalities and…

Q: 6. The height function of a projectile is given by h(1)=ar²+ +vt+d, where time, f, is in seconds,…

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Q: Suppose two numbers x, y satisfy x – y = 4. The minimum value of the quantity x² + 3y? is O 24 12 36

A: Given  x-y =4 Then x=y+4 And minimum value of u=x2+ 3y2   ...(1)

Q: Find the absolute maximum and the absolute minimum values of the function f(x, y, z) = x + y? + z?…

A: We have to use Lagrange Multipliers method  To maximize f(x,y,z) subject to g(x,y,z) 0 and…

Q: Find the maximum and minimum values of the function f(x, y, z) = yz + xy subject to the constraints…

A: Given problem is extrema f(x, y,z)=yz+xy subject to y2+z2=400xy=9

Q: Find the exact extreme values of the function * = f (x, y) = 49x + 13y + 50 subject to the following…

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Q: 6 Find the minimum of –x + 2y on the feasible set given by x 2 0, x5 4, y 2 2, and x+y24. a) 0 b) 2…

A: We graph x≥0, x≤4, y≥2 and x+y≥4 using a graphing calculator.

Q: Find the minimum value of z=3x+9y subject to the constraints x+3y≤10 ; 3x+y≥10; y≤x ; x≥0; y≥0 using…

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Q: 3. Two cities A and B are 8 km and 12 km, respectively, north of a river which runs due east. City B…

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Q: Find the minimum value of w = x2 + y2 + z2 subject to the constraint x + y + z = 9. w =

A: Answer

Q: Find the extreme values of f (x, y, z) = x + 2y subject to both constraints x + y + z = 1 and y² +…

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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: Find the minimum and maximum values of the function f(x, y) = x² + y subject to the given constraint…

A: In the question we have to find minimum and maximum value of the function.

Q: Find the maximum and minimum values of f(x, y, z) = x +y + z2 subject to the constraints x +y+z =1…

A: To find the maximum value of the function f(x,y,z), subject to the the constraints gx,y,z=0 and…

Q: Maximize  z = 8x + 9y,  subject to the following constraints. −3x  +  y ≤ 3 2x  −  4y ≤ 8 x  ≥  0,…

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Q: Find the maximum and minimum values of the following function, subject to the given constraint.…

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Q: Find the extreme values of f(x, y) = 12x + 3y, subject to the constraints xy = 4, x > 0, and y > 0.…

A: Solve the following

Q: Find the extremum of​ f(x,y) subject to the given​ constraint, and state whether it is a maximum or…

A: Given f(x,y)=xy and  11x+y=12 Apply the method of Lagrange Multipliers to calculate the extremum…

Q: Find the extreme values of the function subject to the given constraint. f(x, y, z) = (x - 1)2 +…

A: As per company guidelines we are allowed to solve one equation at a time so i am solving first one…

Q: Find the extreme values off subject to both constraints. (If an answer does not exist, enter DNE.)…

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Q: Find the maximum value of Z = 2x + 3y +y< 30, y 2 3, 0<ys 12, x – y 2 0, and 0<x < 20. subiect to…

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Q: 3. Let f(x, y) = xe" subject to the constraint x2 + y2 = 2. Find the minimum value and the maximum…

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Q: Find the maximum of f(x, y, z) = x + y + z subject to the two constraints x? + y + z? = 4 and x + y…

A: The given constraints are: x2+y2+z2=4 and 16x2+16y2+6z2=4 Calculate the maximum of fx,y,z=x+y+z. The…

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: 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: Find the extreme values of the function f(x,y) subject to the given constraint.  f(x, y) = 4x + 6y,…

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Q: (d) Find the maximum and minimum values of the function f(x, y, z) = yz + x? subject to the…

A: Introduction: When a multivariable function is to be extremized under certain constraints, we follow…

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Q: Find the absolute maxımum and minimum of f(r, y) = x² + y subject to the constraint 3x2 + 4y? = 5

A: To find the absolute maximum and minimum values of f(x,y) subject to constraint g(x,y).

Q: Q\Find the maximum and minimum values of . f (x, y.z) = xyz subject to the constraint x + 9y? + 22 =…

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Q: Find the indicated extreme value of f subject to the given constraint  maximum of f(x,y) = 4x+6y…

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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: Find maximum and minumum values of fx, y, z) = 3x – 6y + 15z subject to the constraint x? + y? + z?…

A: We need to find maximum and minimum values of f(x,y,z)=3x-6y+15z subject to the constraint…

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: 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: By how much would the optimal value of z approximately change as a result of a change in the size of…

A: Given z=3x2-xy  ...1 and constraint is x-y=7  ...2