3. Let R be the solution region for the following system of inequalities: y* < 4r + 12 I < 1 3y 2 4r + 2

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: Which among the following is a corner point in the feasible region of the system 2x + y ≤ 12 x +…

A: Use a graphing utility to plot the system of inequalities.  Use the graph to determine the feasible…

Q: Sketch the region that corresponds to the given inequalities. 4x + y s 7 x - 4y 2 6 y Solution Set -…

A: The given inequalities are  4x+y&lt;=7 x-4y&gt;=6

Q: Which of the following points is cotained within the feasible region corresonding to the system of…

A: We need to find the points that is contained within the feasible region of the given system of…

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

A: Use Lagrange theorem

Q: Sketch the region that corresponds to the given inequalities. 2x + 4y 2 16 < 5 y s 4 x 2 0, y 2 0 y…

A: Given:-   2x + 4y ≥ 16 x ≤ 5 y ≤4 x ≥0, y  ≥0 To find:- Solution by graphical method

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

A:

Q: Determine graphically the solution set for the system of inequalities. 3x - 4y s 12 4x + 5y s 20 y 2…

A: At first we draw the lines 3x-4y=12 and 4x+5y=20  After that we draw the solution set of the given…

Q: 2. Graph the solution region of each of the following systems of inequal- ities. (a) 6x + 12y 0, y…

A: Given: a) 6x+12y≤15, y≥2x-3 with x≥0, y≥0 b) y&lt;x, 2y+4&gt;x with y≥0

Q: Sketch the region that corresponds to the given inequalities. 4x + 5y s 4 4x - 5y 2 4 -y 2 2

A:

Q: Consider the following system of inequalities. 9x + 4y ≤ 36 6x + 5y ≤ 30 2x + 5y ≤ 20 x ≥ 0 y ≥ 0…

A:

Q: Which of the following points is cotained within the feasible region corresonding to the system of…

A: Feasible region: Feasible region is that region of the graph which satisfy all the inequalities,…

Q: Find the extreme values of f(x, y, z) = x + 2y + 3z subject to the two constraints x + y + z = 1 and…

A:

Q: Take the system x' 6x – xy, y' = 8y+ x². - How many critical points are there? help (numbers) What…

A:

Q: Consider the following system of linear inequalities. 15x + 24y ≤ 525 35x + 11y ≤ 550 x + y > 10 x…

A: System of linear equations

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

A: Answer

Q: Find the feasible region of the system of inequalities. 2x + y 2 2 6 x 3y ≤ -4x + y< -3 ● No…

A: Given system of inequalities:    2x+y≥2    x-3y≤6 -4x+y&lt;-3

Q: Graph the solution region of each of the following systems of inequal- ities. (a) 6x + 12y 2x – 3…

A:

Q: Sketch the region that corresponds to the given inequalities. 8x 7y 2 0 x - 6y s 0 x 2 0, y 2 0

A:

Q: Sketch the graph (and label the vertices) of the solution set of the system of inequalities. x + y <…

A: Given the system of inequalities We have to find which one of the graph is correct for given…

Q: Carefully sketch the region of the plane satisfying the system of inequalities. x + 3y 0 y 2 0

A: Since there are two questions posted, we will answer the first question (9). If you want the second…

Q: Find the system of linear inequalities that corresponds to the system shown. 10 8 2x + 13 y = 81 y 4…

A:

Q: 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…

A:

Q: Consider the following system of linear inequalities: (2 points) Which of the following is the…

A:

Q: Find the values of x, y that maximize 5 - 2x2-2xy-y2 +x+4y 7 subject to the constraint x+y- =0

A: let f=-2x2-2xy-52y2+x+4y x+y-72=0y=72-x substitute y value in f…

Q: Find the extreme values of f (x, y, z) = x + 2y subject to both constraints x + y + z = 1 and y² +…

A:

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

A:

Q: What are the critical points of the following system and how do you find those points? x'=7x-xy…

A: Given system is  x'=7x−xyy'=5y+x2 For critical point equate x'=0 and y'=0 Hence, x'=0…

Q: Determine the optimal solution using graphical method. Maximize: Z= 20x – 4y Subject to: 2x + y 2 8…

A: Given

Q: Sketch the region that corresponds to the given inequalities. 18x + 9y s 90 9x + 18y s 90 9x + 9ys…

A: The given inequalities are: 18x+9y≤909x+18y≤909x+9y≤54x≥0,y≥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: The corner points for the bounded feasible region determined by the system of inequalities shown…

A:

Q: The graph of the boundary equations for the system of inequalities is shown below. Locate all…

A:

Q: Sketch the region that corresponds to the given inequalities. 4x + 3y s 4 4x - 3y 2 4 -y 2 2

A: Inequalities are obtained when the values of two sides of an expression are not equal and compared.…

Q: Sketch the graph of the solution set for the following system of inequalities: Sy z nx + b (n 0)…

A: Given, y≥nx+b  (n&lt;0, b&gt;0)y≤mx+b (m&gt;0,b&gt;0) sketch the graph of the solution set nx+b ≤ y…

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

A: E is true.

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: Consider the following system of inequalities: 4х + 8y > -80 -7x + 7y < 350 11x + ly < 410 How many…

A:

Q: the system of inequalities. O x+ ys30 x2 10 y2 10 O 2x + ys 30 x2 10 yz 10 O x+y2 30 X< 10 y< 10 O…

A:

Q: Consider the following system of linear inequalities. 6x − y ≥ 9 4x − 5y < −7 (a) Graph the region…

A:

Q: 1. given the inequality: 2x + y < 6 2x + 3y < 12 0 sys 12 X 2 0 Find the solution area for the…

A:

Q: The Wellbuilt Company produces two types of wood chippers, economy and deluxe. The deluxe model…

A: Let the number of the Deluxe and Economy wood chippers be x and y.

Q: 4. Shade the solution of each system of inequalities on the given graph. Įx – y2 0 Jx – y s0 (а) (b)…

A: a. it is the region shaded by both red and blue.   b.

Q: Find the absolute maxımum and minimum of f(r, y) = x² + y subject to the constraint 3x2 + 4y? = 5

A: To find the absolute maximum and minimum values of f(x,y) subject to constraint g(x,y).

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

A:

Q: 4. Shade the solution of each system of inequalities on the given graph. (x - y2 0 lx + y2 2 [x –…

A:

Q: السؤال 4 Which of the following points is cotained within the feasible region corresonding to the…

A: Plot the graph of the inequality 3x-y≤6

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

A:

Q: Consider the following system of linear inequalities. 2x + 5y ≤ 70 10x + y ≤ 110 x ≥ 0 y ≥ 0 (a)…

A: