Maximize   H = x + 3y    Objective    function subject to   x + y ≤ 50 2x + y ≤ 60 x ≥ 0, y ≥ 0    Constraints

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: You are given a feasible region. Find the maximum and minimum (if they exist) for the given…

A: The given objective function is z = 16x+26y.

Q: Solve the problem: max(min) x^2+y^2 +z subject to x^2+2y^2+4z^2=1  Suppose the constraint is changed…

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Q: Find the minimum value of the objective function z = 6x + 4y, subject to the following constraints.…

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Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty…

A: Maximize and minimize p=2x-y subject to  x+y≥3x-y≤3x-y≥-3x≤15y≤15 Now consider the lines, x+y=3 This…

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: Find the minimum value of w 3x, +2x, Objective function subject to the constraints 2x, + x, 2 6)…

A: Find the minimum value of W=3x1+2x2Constraints2x1+x2≥6x1+x2≥4x1≥0  and  x2≥0

Q: MAXIMIZE F= x +2y subject to constraints: x + y ≥ 4 2x + y ≤ 8 y ≤ 4

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Q: Minimize  c = 2x + 2y + 3z  subject to x      +  z ≥ 340 2x  +  y     ≥ 170     y  +  z ≥ 170 x ≥ 0,…

A: Minimize : c=2x+2y+3z subject to  x+z≥3402x+y≥170y+z≥170x≥0, y≥0, z≥0   Converting the inequalities…

Q: Maximize   G = x + 3y    Objective    function subject to   x + y ≤ 50 2x + y ≤ 60 x ≥ 0, y ≥…

A: G=x+3yx+y≤502x+y≤60 Subjected to x≥0,y≥0. To maximize the given objective function G.

Q: Write down (without solving) the dual LP problem. (Let the variables s and t correspond to the first…

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Q: Question in picture below. Thank you

A: First, lets draw the graph for the given constraints. x&gt;=1, draw x=1 y&gt;=0, this is y-axis or…

Q: Find the minimum and maximum values of the objective function, and the points at which these values…

A: f(x,y) = 5x + 9y Constraints  8x+y &lt;= 40 x +2y &lt;=10 x&gt;=0, y&gt;=0 We will solve it by…

Q: Maximize P subject to the following constraints. P = 3x + 2y     x ≥ 0 y ≥ 0 x + y ≤ 5

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Q: Consider the problem of minimizing 3x+2y subject to the constraint x+y=1. What is the optimal level…

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Q: Maximize z = 3x + 4y subject to the following constraints. 2х + y s 4 -x + 2y 0 Enter -1 if there…

A: we solve this problem by simplex method

Q: The graph shows the region of feasible solutions. Find the maximum or minimum value, as specified,…

A: The objective function is the linear function of the form  f(x,y)=ax+by+c  Feasible solutions is the…

Q: Maximize p = 2x + y subject to the following constraints. 2x – 3y ≤ 0 3x – 2y ≥ 0 x + y ≤ 10 x ≥ 0,…

A: the objective function of the given LPP is maximise p=2x+y subject to 2x-3y≤0 3x-2y≥0 x+y≤10 x≥0,y≥0…

Q: Question in picture below.   Thank you

A: To Determine: Maximum value of P(x,y)…

Q: 3.) Objective function: z = 4x + 5y Constraints: x20, y 2 0, 2x + 2y s 10, x + 2y s 6 10 7 5 3 1 O 1…

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Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty…

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Q: Maximize f = 4x − y + 8z subject to the following constraints. x  +  y  +  z  ≤  16 x  −  y  +  z…

A: Use the simplex method to solve the given problem  Adding the slack and artificial variables…

Q: Maximize  z = 4x + 2y,  subject to the following constraints. 10x  +  5y ≤ 55 3x  +  4y ≤ 24 x  ≥…

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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: Maximize (if possible) the quantity z = 5x + 7y subject to the constraints below ? x+y≥2 2x + 3y…

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Q: Maximize the objective function subject to the constraints 3x + y ≤ 15, 5x + 3y ≤ 33, x ≥ 0, and y…

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Q: Maximize Z = x1 + 2x2   Subject to constraints:   -2x1 + x2 = 4 -x1+2x2 = 0   Solve using Big…

A: Slove the  Linear programming problem using big - M method

Q: Find the minimum value of the objective function z = 9x + 7y,  subject to the following constraints.…

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Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty…

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

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Q: Q.2/ solving a minimization problem, find the minimum value of objective function w=3x1+2x2 Subject…

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Q: Objective Function z= 3x+y Constraints x20, y 20 4x+3y s 36 x+y22

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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: max Z = x1 + 3x2 + 5x3 4.x1 + 3x2 + 6x3 0 Say we use x4, X5 as slack variables for the first and…

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Q: Q2: (Minimize) Objective function: w = x + x + X3 Constraints: X1 + 2r, + x 2 30 6x, + x s 54 X1 +…

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Q: Find the minimum and maximum values of the objective function and where they occur, subject to the…

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Q: Maximize the objective function subject to the constraints x + 5y ≤ 25, x + y ≤ 9, 4x + 2y ≤ 32, x ≥…

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Q: Solve the following problem using artificial variables. Maximize z= 3x, + 2x, subject to the…

A: Given,  Maximize z=3x1+2x2 subject to the constraints  x1+x2=804x1+2x2≥1205x1+2x2≤300 with x1≥0,…

Q: Find the minimum and maximum values of the objective function, and the points at which these values…

A: Given that, Objective function isf(x, y)=4x+12yConstraints arex≥05x+10y≥505x-y≤55x+y≤6 We need to…

Q: The area of a triangle with sides of length a, b, and c is Js(s – a)(s – b)(s – c), where s is half…

A: Part(a): Given that the sides of the triangle be a,b,c. Now, constructing the inequality. Maximum…

Q: Find the maximum value of := 3x + 2y Objecetive function subject to the following constraints. x20 y…

A: Feasible region: In a linear programming problem, a feasible region is the set of all points which…

Q: Find the maximum value of the objective function z = 9x + 11y, subject to the following…

A: Given, 10x + 11y≤330 4x + 6y≤156 Plotting the graph for the above two equations we have,

Q: Exercises for Ex Find the minimum and maximum values function subject to the given constraints. 1.…

A: The Objective function C=6x-2y Constraints: x+y≤9                    4x+y≥12x≥0y≥0

Q: Find the max. (maximum) & min. (minimum) values of the objective function f(x,y) which is subjected…

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Q: x + y ≥ 1 x − y ≤ 1 x − y ≥ −1 x ≤ 14, y ≤ 14. Minimum:

A: Linear programming can be used to find optimum values for a particular equation subject to…

Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty…

A: It's a LPP with two variable and five constraints so we use here graphical approach for solving…

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: LO. 1S pIODieM nas sevo Find the maximum value of the objective function -(12a3y) subject to the…

A: Use solver addin in excel to maximising or minimising the equation based on the constraints.

Q: An objective function and a system of linear Objective function z=x+6y inequalities representing…

A: a) option (C)