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 graphical method

Q: Solve the following problem using artificial variables. Maximize z= 3x, + 2x2 subject to the…

A: Given: Maximize z=3x1+2x2 subject to, x1+x2=704x1+2x2≥1105x1+2x2≤250x1,x2≥0 To solve the given…

Q: Find the values of x≥0 and y≥0 that maximize z=14x+11​y, subject to each of the following sets of…

A: Hey, since there are multiple subparts posted, we will answer the first question. If you want any…

Q: Find the maximum value of r + y subject to the constraint a2 + y? = 18.

A: The function is given by fx, y = x+y                                          ..........1 The…

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 values of x≥0 and y≥0 that maximize z=14x+11​y, subject to each of the following sets of…

A: Maximize  z=14x+11y Constraints: x+3y≥183x+y≥12x-y≤7x≥0,y≥0 First change these constraints into…

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

A: Use Lagrange theorem

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: 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 number of slacks variables needed and use slack variables to convert each constraint into a…

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

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Q: Draw the feasible region for the table manufacturing problem, where the constraints are modelled as…

A: Given 2x1+3x2≤3023x1+2x2≤16513x1+4x2≤64x1,x2≥0 Now graph of 2x1+3x2=3023x1+2x2=16513x1+4x2=64 is

Q: Find the values of x20 and y 2 0 that maximize z= 13x + 14y, subject to each of the following sets…

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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: Find the maximum and minimum values of the function z=2x−yz=2x-y subject to the constraints…

A: solution of the given problem is below...

Q: Use the method to the given constraint. maximise the Maximize the function & (or, y) = x+ 5y²…

A: Given function is f(x,y)=x+5y-2xy-x2-2y2 Given constraint is 2x+y=4   To Maximize the given function…

Q: Use the simplex method to find the optimal solution to the following LP. maximize Z = 5x + x2 2 x1 +…

A: The given LPP is Max Z = 5 x1 + x2 subject to: 2 x1 + x2 ≤ 6 x1 - x2 = 0 and x1,x2≥0

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

A: Given

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: Determine the feasible space for each of the following independent constraints. (a) -3x1 + x2 S 6.…

A: Both constraints will be represented on the graph to show the feasible region

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: Maximize the function P = 9x - 5y subject to y 2 5x + 6y s 30 8x +3y 2 24 What are the corner points…

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

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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: x+y≤10 2x-y≤2 x≥0 x≥0

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Q: Find the maximum possible value of f = 400x +300y and the values of x and y that give that…

A: The given LPP: maximize  f=400x+300ysubject to,3x+2y≥62x+y≤7x, y ≥0 Sketch this region and locate…

Q: What is the minimum value of f(x, y) =x +4y -2x+8y subject to the constraint X+2y=7

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Q: Compute the M-Large. approach for this objective function with considering the constraints Min…

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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: Maximize and minimize the objective function z = x - y subject to the constraints x² +y? < 8;

A: Given that maximize and minimize the objective function  z=x-y subject to the constraints…

Q: Find the maximum and minimum values of x + y subject to the constraint x - 10x +y - 8y = 0. What is…

A: x2+y2 subject to the constraints x2-10x+y2-8y=0

Q: Find the maximum and minimum values of z=6x+3y subject to the constraints 2x+2y is greater than or…

A: From the given statement,

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

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Q: Find the maximum value of P = xy subject to the constraint 2x + y = 5

A: Given Data: Equation 1: P=xy Equation 2: 2x+y=5   Solve equation (2) for y. 2x+y=5y=5-2x…

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: The maximum value for the function f (x, y) = 2x + y – 2z bject to the constraint x2 + y? + z² = 9…

A: Here we have, f(x,y)=2x+y-2z ................................... (1) Subject to constraint…

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

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Q: In the problem , find the minimum value of z = 4x + 5y , subject to the following constraints: 2x+y…

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Q: Use the given feasible region determined by the constraint inequalities to find the maximum possible…

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Q: Maximize x2 - y2, subject to the constraint 2x + y - 3 = 0.

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Q: Find the maximum value of x+y subject to the given constraint: x2 + y2 = 18.

A: Given: constraint : x2+y2 = 18

Q: Find the values of x, y, and z that maximize xyz subject to the constraint 1344 - x- 16y - 7z = 0.

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Q: Find the maximum and minimum values (if such values exist) of f(x, y) = x² + 6y² subject to the…

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Q: Find the minimum possible value of g = 40x + 30yand the values of x and y that give that value,…

A: g = 40x + 30y

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

Q: Find the minimum value of f subject to the given constraint (x.y) = 2x2 +y?; 2x + 3y = 44

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