Consider the following system of linear inequalities: (2 points) Which of the following is the possible graphs of the feasible region? x> 3 lys-x+2

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: Complete parts (a) and (b) to minimize g= 3x+ 5y subject to the following constraints. Ay 20 x+2y 2…

A: To maximise the following objective function g = 3x + 5y The given constraints are x + 2y ≥ 16 x + y…

Q: The minimum value of J.y,Z) = 6x - y – óZ subject to the constraints *+y -Z=0 and ? + 2? = 1 is?

A: Given,          The minimum value of fx,y,z=6x-y-6z subject to the constraints x+y-z=0 and x2+2z2=1.

Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = 4x – 2y subject to the…

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Q: Solve the following linear programming problem using graphical methods; include a sketch of the…

A: Given Data: Function: f(x, y)=-x+9y Equation 1: -x+y≤5 Equation 2: 4x+5y≤70 Equation 3: 3x+y≤36…

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

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Q: Use the polygon tool to graph the feasible region for the following constraints. x + 3y < 15 x + y <…

A: The given constraints: x+3y≤15x+y≤9x≥0y≥0

Q: Maximise 1170x1 + 1110x2 Subject to: 9x1 + 5x2 ≥ 500 7x1 + 9x2 ≥ 300 5x1 + 3x2 ≤ 1500 7x1 + 9x2 ≤…

A: Graph all the inequalities using a tool.

Q: x + 2y 2 8 (y 20 Minimum for nur C = x + 3y

A: Linear programming problem: graphical method. The given objective function is C=x+3y, subjected to…

Q: Find the values of​ x, y, and z that maximize xyz subject to the constraint 192−x−8y−16z=0.…

A: Use the lagrangian's multiplier  xyz+λ192-x-8y-16z Partially differentiate with respect to x, y, z…

Q: Graph the feasible region. x + y 2 3 -x + y 2 1

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Q: Solve the LP problem. If no optimal sc Maximize and minimize p = 2x-y su x+y24

A: In the given question, the concept of Linear Programming is applied. Linear Programming An approach…

Q: A company makes two types of electronic devices: laptops and tablets. Its business plan says that it…

A: Solution: x is the number of laptops made per day, &amp; y is the number of tablets made Maximum no.…

Q: A software engineer recently developed an online game. He found out that the optimal crit rate x to…

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Q: Graph each system of inequalities. Then, find the coordinates of the vertices of the feasible…

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Q: Minimize ƒ = x² + x² +60x, subject to the constraints 8₁x₁-8020 8₂x₁+x₂-120≥0 using Kuhn-Tucker…

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Q: Consider the following feasible set, shaded in blue. What is the minimum value of the function – (8x…

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Q: The following constraints x ≥ 0, y ≥ 0, y ≤ 3, x≤5 delimit one of the following options: a) a…

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Q: Solve the following system of linear inequality by Mixed Cut Method Maximum Z = x1 + x2 Subject to…

A: It is required to solve the given linear programing problem: Maximum Z = x1 + x2Subject to 0x1 + 2x2…

Q: Suppose the feasible region has four corners at these points (0,0), (8,0), (0,12), and (4,8).  If…

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

A: We will find out the required solution.

Q: Solve the following linear programming graphically Minimize: Z = 200X +500Y Subject to the…

A: To solve the problem graphically, we will draw the given constraints in the X-Y plane to get our…

Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = 4x – 3y subject to the…

A: Recall: Method of Lagrange Multipliers :1.)Solve the system of equations                ∇f(x,y)…

Q: Solve the following maximization problems with equality constraints. max f(x₁, x₂) = 12 subject to…

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Q: Maximize p = x + 3y subject to the following constraints. x - 4y ≤0 4x - y ≥ 0 x+y≤ 10 x ≥ 0, y ≥ 0…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = 5x - 4y subject to the…

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Q: Minimize f = x²+x+60x, subject to the constraints 8₁x₁-8020 82x₁+x₂-120≥0 using Kuhn-Tucker…

A: Given - To minimize f=x21+x22+60x1  subject to constraints g1=x1-80≥0g2=x1+x2-120≥0 We have to…

Q: 13. Given the following system of inequalities: 3.x + 4y 2 12 > 4 (a) Sketch & label a graph to…

A: (a) Consider the provided system, 3x+4y≥12x-y&gt;4 Sketch the graph of the provided inequality. We…

Q: Graph the feasible reglon. -x + y s 0 X S 5 y 2 -6

A: given -x+y≤0                x≤5                y≥-6      we have to graph the feasible region and…

Q: Use the polygon tool to graph the feasible region for the following constraints. *+ 2y < 14 (20

A: the given  problem is related to graphs

Q: Solve by graphical method the L. P. P. : Maximize : z = 6x1 – 2x2 Subject to the constraints : %3D…

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Q: Solve the following linear programming model graphically: minimize Z = 5x + x, subject to 3x + 4x, =…

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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 r and h that minimize S subject to the constraint V = 54n.

A: Here V=54π and we should minimize  S=2πrh+2πr2 under the constraint V=54π=πr2h V(r,h)=πr2h-54π

Q: The corner points for the bounded feasible region determined by the system of inequalities shown…

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Q: QUESTION 13 nd all possible corner points of the feasible region described by the following system…

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Q: Use graphical methods to solve the following linear programming problem. Minimize: z= 2x+y subject…

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Q: Find the feasible region of the system of inequalities. Please show steps. 3x  +  4y  &gt;  84 4x…

A: We first draw the lines using tables 3x  +  4y  =  84 x 0 28 y 21 0 4x   +  5y =  100 x 0…

Q: Solve Beaver Creek Pottery Company problem (in Ch. 2). Maximize Z = $40x1 + $50x2 subject to 1x1 +…

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Q: You are given the following variables: • B = Batman Comics • S = Superman Comics Income = 10B + 5S…

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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: The equality lines for the following constraints are shown in the graph below: 40x + 15y 120 25х +…

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Q: The graph of the solution region for a system inequalities is shown below. 15 14 13 12 10 -7 -2 10…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = 4x – 2y subject to the…

A: Use Lagrange multiplier to find the maximum and minimum values of f(x, y) = 4x - 2y subject to the…

Q: Find the values of x, y that maximize 7. - 2x? - 2xy - +x+ 9y 13 subject to the constraint x+ y -…

A: The solution of the problem is given in the next step.

Q: Solve the following LPP by graphical method : Maximize Z = 22x1 + 18x2 Subject to constraints: 960x1…

A: Taking x1 on x-axis and x2 on y-axis , we have : The shaded region represents the feasible region…

Q: The function fcxiy) 7x max value and absolute min value subject to the constraint xo t y? + z^ -32=1…

A: Solutionf(x,y)=7xto find the minimum value of the constraint x2+y2+z2-32=1

Q: For the feasible set in the figure to the right, determine x and y so that the objective function 5x…

A: The objective function 5x+6y

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

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