P.Draw or solve the following graphically: 3x1 + 4x2 Xq + 2x2s 16 2x, + 3x2 s 18 Xq 22 Max z = s.t. <10 Xq, X2 2 0 What are the optimal values of x4, X2, and z?

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: 1. Determine the optimal value and whether the optimal value is the maximum or minimum? a) z = 4x2 –…

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Q: Find the minìmum and maximum values of the function subject to the given constraint. (If an answer…

A: Given:- f(x, y) =8x+7y Constraint  x2+y2=4

Q: The relative minimum of y= x² – 4x+4 occurs at A x = -4 B) x = 4 c) x= -2 D None of the given…

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Q: Маx Z Z = 4x1 + 2x2 s.t. s.t. 2х1 + 3x, < 13 x2 2 2 X1 2 2 X1,X2 20 a) Solve graphically. b) What…

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Q: 10. Maximize the Function P(r, y) = 35x – 27y on the set: 6x + 8y < 96 2 3

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Q: Determine whether xT= (0, ) is an optimal solution to the following linear program. maximise ,n + E2…

A: We will use the basic knowledge of linear programming and optimization to answer this question…

Q: (b) The revenue R(x, y) that Scoot Airline collects from selling its normal seats and premium seats…

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Q: Q2) Solve the following LP problem by graph: Maximize P = -x + 5y (x-2y ≥0 y ≤100 Subject to: x + y…

A: Given : Maximize: P = -x + 5y Subject to, x - 2y ≥ 0 y ≤ 100 x + y ≥ 210 x ≥ 0, y ≥ 0 Now, Graph :

Q: Find maximum and minumum values of f(x, y, 2) = 7x – 14y + 35z subject to the constraint z? + y² +…

A: Use Lagrange multipliers and find maximum, minimum value.

Q: Solve the following problem by using the Graphical Method, and find the optimal solution. Max Z = 6…

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Q: 3. Find the values of b and c so f(x)=-8x² + bx+c has vertex (2, -7).

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1. Find the maximum and minimum points of the given equation: a. y = x3 - 3x b. у%3D (x - 6)?(9— х)

A: Given: a.y=x3-3x

Q: Determine whether xT= (0,, ) is an optimal solution to the following linear 5. program. maximise rı…

A: We are given a linear programming problem stated as a tabular form follows. MAX x =   0.5 x1…

Q: Suppose that Isabella has 80 hours per week to allocate between work and leisure and she earns $10…

A: Let us take the total number of working hours as H and leisure hours as L.  Then L+H = 80, H = 80-L…

Q: Solve the following and show the complete solution. 2. Using Lagrange multipliers, find three…

A: Let x, y and z be the three positive number so,  sum of number   x+y+z=18

Q: Find the maximum of 2x + 3y on the feasible set given by x2 0, y 20, 2x + y 22, 3x + 4y s 12. a) 6…

A: We sketch 2x+y≥2 , 3x+4y≤12 , x≥0, y≥0 using a graphing calculator.

Q: Determine the maximum r-values of r = 7cos4e. e= 0, 2 4 4 e= 0, T, 2 2 e= 2 e= 0,. 4' 4

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Q: Q5:- Find the maximum value of the function f (x, y) = xy, subject to the constraint x + y = 16.…

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Q: Q4: Consider the following LP Max z= 3x1 -3x2 Subject to: -X1 + 4x2 2 8 X1 + X2 5 6 X12 0, x2…

A: (A) The Given Linear Programming problem is- Max Z =3x1-3x2subject to:-x1 + 4x2 ≥ 8x1 + x2 ≤ 6x1 ≥ 0…

Q: Which of the following equivalent forms of the equation y -4x -12x-7 can best be used to find the…

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Q: Find maximum and minumum values of f(x, y, z) = 2 - 4y + 10z subject to the constraint a? + y? + z?…

A: If f is our function and g is the constraint. We can use Lagrange multiplier, c to equate the first…

Q: Apply Optimal Runge-Kutta method and obeain y,, I₂ and y for the problem y = + + 2y y(₁7=1 , h = 0.1

A: Let us solve the given Numerical Analysis problem using R-K 2 Method in the next steps.

Q: Use the simplex method to solve the following z = 3x1 + 3x2 - 9x3 4x1 + 4x2 - 12x3 s 60 5x1 + 5x2 +…

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Q: Find the maximum value of the function f(x, y) = x²y subject to the constraint x² + 24 = 1. 27

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Q: Solve the following problem by using the Graphical Method, and find the optimal solution. Max Z = 2…

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Q: Q5: Find the max and min points for the function: F(x,y) = xy, subject to the constraint x2+y2-xy=9

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Q: Write the KKT conditions and find the optimal solution (x,y) for the following problem. Minimise 2x…

A: Given that,                Mini     2x-y2+2ysubjected to     y=-3x,                           x≤1,…

Q: Find the maximum value of the function f(x, y) = x²y³ subject to the constraint a2 + y? = 10.…

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Q: The minimum value of the function f(r, y) = a +y - 4 subject to the constraint a +y" = 2 is, -2.…

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Q: Use the simplex method to solve the following. Maximize z= 3x, + 3x2 - 9x3 subject to 4x1 + 4x2 -…

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Q: Find maximum and minumum values of f(x, y, z) = 7x – 14y + 35z subject to the constraint x? + y? +…

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Q: Find the maximum value of x + y subject to the constraint x2 + y? = 18. %3D

A: We will use Method of Lagranges multiplier to fing maximum value

Q: Solve the following graphically (attach your graph): Max z = 3x1 + 4x2 s.t. x1 + 2x2 0 What are the…

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Q: Given linear program: Max 3A+2B s.t. 1A+1B≤11 3A+1B≤24…

A: In order to find optimal solution we follow the following steps: 1. Make small table to of each…

Q: Use the two-stage method to solve. Find x 20, x, 20, and x3 20 such that X1 + X2 + 2x3 < 38 2x1 + X2…

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Q: How many optimal basic feasible solutions does the following LP have? max z = 2x1 + 2x2 s.t. X1 + x2…

A: Draw the graph of the constraints

Q: For the linear program Max 2A+3B s.t 1A+2B≤6 5A+3B≤15 A,B≥0 Find the optimal solution using…

A: Solution: Problem is MAX Zx =   2 A + 3 B subject to     A + 2 B ≤ 6   5 A + 3…

Q: Find the minimum value of the function z = 3x+11y subject to the following constraints. x<11 ys 12…

A: Given, min z=3x+11ySubject to the constraintsx≤11y≤123x+y≥183x+7y≥54

Q: i) Find dp(v5,Vs), dp(v2,V4), and dp(V2,Vg). ii) What is the maximum distance between any two…

A: From the given graph, we notice that the edges in the given graph are 1-3, 1-4, 1-6, 2-4, 2-5, 2-4,…

Q: Consider the LP: maximize z = c1X1+ C2X2 s.t. 2x1 + X2 11 -X1 + 2x2- 2 X1, X2 Determine all optimal…

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Q: Draw the graph of the problem and comment the solution.                Max z = 10x1 +   20x2…

A: Problem isMAX Zx =  10 x1 + 20 x2subject to2 x1 + 6 x2 ≤ 102 x1 + 4 x2 ≤ 164 x2 ≤ 8x1    ≥ 5and…

Q: Find the value of x and y which satisfy 2x + 3y = 8 and whose product is a minimum. a. 1 and 2…

A: we have to find

Q: A company manufactures two types of athletic shoes, jogging shoes and cross trainers. The total…

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Q: Which of the following equivalent forms of the equation y -4x-12x-7 can best be used to find the…

A: Consider the given equation.

Q: Use the simplex method to solve the following. z = 4x1 + 4x2 - 8x3 10x3 s 95 12x3 s 128 X1 20, x2 2…

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Q: Find the optimal solution for the following model graphically Max Z 5X, +2X2 Subject to, X +X2 s 10…

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Q: T. Find the maximum value of Q(x) subject to the constraint x'x= 1. Q(x) = 14x, + 14x, + 18x, + 26x,…

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Q: Apply Optimal Runge-Kutta methed and obtain y₁, 1₂ and y² = + + 2y y(a)=1 3 for the problem , h =…

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Q: Find the maximum value of P = x + 6y subject to the following constraints: (2x +4y < 10 X+9y < 12 x…

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