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

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: Find the maximum value of z =12x+9y subject to the constraints 4x+3y ≤36 8x+3y ≤48 x≥0, y 20

A: Given the objective function Maximize Z= 12x+9y. subject to  4x+3y≤368x+3y≤48x,y≥0 use the graphical…

Q: Graph the feasible region.  x + y ≤ 3 and  x ≥ 1, y ≥ 0

A: Given    x+y⩽3  and x⩾1, y⩾0     To draw x+y⩽3, first draw x+y=3    ⇒y=-3+3    x     0…

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

A:

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 97+x2+xy−5y2​,subject to the constraint −10−x−4y=0.   The maximum value of 97+x2+xy−5y2…

A: To Determine :-  The maximum value of  97 +x2 + xy -5y2 subject to the constraint -10 -x -4y =0

Q: A firm decides to invest x units of capital in project A and y units in project B. The expected…

A: The given problem is: Maximize z=400x+800y Subject to x2+y2-4x-6y=67 Using Lagrange multipliers,…

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

A:

Q: 3. Minimize: Z = 20x + 10y and the constraints are : x + 2y < 40, 3x + y 2 30, 4x + 3y 2 60, x 2 0,…

A:

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

A: Use Lagrange theorem

Q: Find the values of x, y that maximize 6. – 2x² – 2xy - y + 2x + 9y 2 11 subject to the constraint…

A:

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

A:

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: The constraints and the objectives that are used to "reduce the amount of overtime for both machines…

A:

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

A: Answer

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

A: 1. Given Data: Equation: C=5x+8y Check each point at which the function is minimum and maximum. For…

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

A:

Q: Minimize the function ƒ(x, y, z) = x2 + y2 + z2 subject to the constraints x + 2y + 3z = 6 and x +…

A:

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: Consider the equation z = 32x0.°y04 where z, z, y represent the total production, labor input and…

A: Formula used: The equation to be solve by using Lagrange's multiplier method for solving constraint…

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

A:

Q: Minimize and maximum z = 8x +7y subject to the constraints 2x + 3y ≥ 12 2x + y ≤8 x, y 20

A: Given,Max(z)=8x+7y,Such that,2x+3y≥12,2x+y≤8x,y≥0.

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

A: Answer

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

A:

Q: 3. Minimize: Z = 20x + 10y and the constraints are: x + 2y s 40, 3x + y 2 30, 4x + 3y 2 60, x 2 0, y…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Given the feasible region formed by the following linear inequalties: 3x − y ≥ 7 2x + y ≥ 20 x + y…

A:

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

A:

Q: Also, we must have *0. yz0. Therefore, the above problem can be formulated as follows: find x and y…

A: Given the LPP problem is, Max z=2x+125y12x+13y≤130...112x+23y≤170...2 Converting the given…

Q: Convert into a maximization problem with positive constants on the right side of each constraint,…

A:

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: Maximize the value of z = 4x₁ + 6x2, where x₁ and x₂ ≥ 0, subject to the following constraints. -x₁…

A: Given: The LP problem, Maximize, z=4x1+6x2Subject to -x1+x2≤11                       x1+x2≤27…

Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use…

A:

Q: Use the simplex method and the Duality Principle to solve the following minimum problem: C =z, +4zz…

A: According to duality in linear programming , for every linear programming problem there always exist…

Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use…

A: The given function is f(x,y)=xy and g(x,y)=25x2+y2 Differentiate f(x, y) partially with respect to…

Q: Lagrange multipliers to find the minimum of f(x,y) = 2x2 - y2 - 10x and the constraint 2x - y + 1 =…

A:

Q: Use the method of lagrange multipliers to find the maximum and minimum values of f(x,y)=x^2 + y^2…

A:

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

A:

Q: Maximize ƒ(x, y, z) = x2 + y2 + z2 subject to the constraints 2y + 4z - 5 = 0 and 4x2 + 4y2 - z2 =…

A:

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

A:

Q: Use Lagrange multipliers method to find the maximum and minimum values of the function subject to…

A:

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

A:

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

A:

Q: esting x units of labor and y units of capital, a watch manufacturer can produce P(x, y) =…

A:

Q: *+2y28 x22 y20 minimum for C = x+ 3y

A: The given inequalities are  x+2y≥8x≥2y≥0