Min. Z= 2Y +8X subject to the constraints: x+y < 50 3x + y < 90 x 2 0, y 2 0 O Min. Z = 100 O Min. Z = 110 O Min. Z = 220 O Min. Z = 210

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. Minimize 375 2x 3y subject to the constraints x2 0, y 2 0 x< 30, y < 25 x+y< 45 (x+y%15.

A: Given the optimization problem,  To minimize 375-2x-3y subject to the constraints x≥0, y≥0x≤30,…

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. 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: Find the minimum value of  z = 6x2 + y2 − xy  subject to the constraint  2x + y = 12.

A: Use Lagrange theorem

Q: 2y - 3x ≤ 20 4x + y ≤ 200  y ≤ 40 x ≥ 0 , y ≥ 0 From the given constraint above, provide the…

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Q: The water-supply manager for Minneapolis needs to supply the city with at least 7 million gallons of…

A: Assume x and y are the amounts of water (in gallons) that the manager should get from reservoir and…

Q: 2. Зх + у 2 6 4х + 5y 10

A: Inequality: It is an algebraic expression with a relationship between the two numbers consisting of…

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: Minimize c = 6x + 14y Subject to the constraints: 14x + 7y 2 43 3x + 7y 2 21 -x + y 2 -5 x, y 2 0

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Q: Let M and m be the maximum and minumum values of the function f(x,y)=8x2−2y subject to the…

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Q: Your company manufactures automobile alternators, and production is partially automated through the…

A: Given: The company include the manufactures automobile alternators, and production is partially…

Q: Find the minimum value of z = 4x2 + y2 − xy subject to the constraint 4x + y = 8. z =

A: Answer

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: Minimize 8 x + 8 y subject to the system of constraints. x+8 y 2 104 12 x + y z 108 Dual Problem…

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Q: Minimize 4X + 9Y, constraints: 5X + 3Y s 30, 7X • 2Y s 28, X 2 0, Y 2 0

A: Given constraints are 5x+3y≤30 and  7x+2y≤28, x≥0,y≥0. Draw the given inequalities and obtain the…

Q: 5. Maximize Z = 3x + 4y and the constraints are : x- y <-1; -x +y <0 and x, y 2 0.

A:

Q: he water-supply manager for Minneapolis needs to supply the city with at least 13 million gallons of…

A: Let x and y be the gallons of water taken from reservoir and pipeline The water-supply manager for…

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: I am working with a 2-D LPP that has four constraints. Below is the region of points that satisfy…

A: The given region of points that satisfies the first three constraints is,

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

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Q: Calculate the maximum and minimum values of x^2+y^2 subject to the constraint x^2−2x+y^2−4y=0

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Q: The water-supply manager for a Midwestern city needs to supply the city with at least 11 million…

A: Given, Manager needs to supply the city with at least 11 million gallons of potable water per day.…

Q: Find the maximum and minimum values of f (x, y) = xy subject to the constraint 4x + y = 8.

A: We have to find the maximum and minimum values of  the function.

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: Find the solution set for the constraints in the figure below. 3x + 2y <5 2x + 5y 56 3x -y s1 x 20,…

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Q: Find the minimum value of w = 4x, + 2x, + x3 subject to the constraints 2x, + 3x, + 4x, 4 x1 + 4x,…

A: Change the constraint system:  -2x1-3x2-4x3≥-143x1+x2+5x3≥4x1+4x2+3x3≥6where x1, x2, x3≥0 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: Calculate the maximum value of 10x + 5y subject to the constraints below: 2x + 2y s 18 x + 3y s 16 y…

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

A: Use the Lagrange Multiplier technique with two constraints, to find the value of x,y,z,w at which…

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: 4. Minimize: Z 5x + 4y and the constraints are : %3D 4x + y 2 40; 2x + 3y 2 90 and х, у 2 0

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Q: Calculate the maximum value of 10x + 23y subject to the constraints below: x + 2y < 14 X-y2 1 y 2 1…

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Q: Minimize g = 3x + 4y subject to the constraints

A: The given linear programming problem is minimize g=3x+4y subject to the constraints…

Q: Identify the feasible region for the following set of constraints: 3x-2y>/=0 2x-y/=0

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Q: Find the solution set for the constraints in the figure below. * 3x + 2y <5 2x + 5y s6 3x -y s1 x…

A: Since you have posted a multiple question according to guildlines I will solve first  question for…

Q: Find the maximum and minimum values of z = 16x + 34y, subject to the following constraints. 2x…

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Q: Suppose x represents the number of tons produced daily of interior paints and y represents the…

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Q: The maximum and minimum value of f(x,y) = 3x – 4y subject to the constraint x* + y° = 16 are %3D O…

A: To maximize the function f(x, y)  subject to the constraints  g(x,y)=C Determine the Lagrangian…

Q: Find the maximum of V = xyz subject to the constraint 6x+4y+3z-24=0

A:

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: Max (Z) = 3 X + 5Y Constraints: 2X +3Y≤ 30 5X +4Y≤60 By Condition X, Y20

A: Given LPP is max z=3x+5ysubject to2x+3y≤305x+4y≤60x,y≥0   So, graph of  function

Q: -, Let f(x, y) 3 ln(x) + y where (x, y) = R. Consider the following constraint maximization problem:…

A: Given below clear explanation

Q: QUESTION 15 Calculate the minimum value of 8x + 6y subject to the following constraints: x + y2 24 x…

A: To find- Calculate the minimum value of 8x + 6y subject to the following constraints: x + y ≥ 24x +…

Q: X2 X1 b) x, 2 x, ; - x, + 2.x, 2 2 a) x, 2 2x,; - x, +2.x, <2 c) x, Sx,; -x, +2x, 2 2 d) x, <x,; -…

A: Consider the figure given below :

Q: Minimize 3x + 5y + z subject to the constraints x+y + z2 20 y + 2z 2 10 x 0, y2 0, z20.

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Q: Find the solution set for the constraints in the figure below. 3x + 2y 5; 2x + 5y s6; 3x -ys1; x20,…

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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

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.