Solve. Maximize P = 4x + 3y, subject to: 3x + 5y ≥ 20 3x + y ≤ 16 – 2x + y ≤ 1 x ≥ 0, y ≥ 0

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A:

Q: Among all pairs of numbers (x,y)such that 4x+2y=24find the pair for which the sum of squares, x2 +…

A: Given equation,4x+2y=24we have to find values of x and y such that (x2+y2) is minimum

Q: Solve: Minimize C = 2x + 10y, subject to: 5x + 2y ≥ 40 x + 2y ≥ 20 y ≥ 3 , x ≥ 0

A: Minimum value of C=58

Q: 14. Maximize P = 15x1 + 20x2 %3D subject to 2xı + x2 s 9 X1 + x2 s 6 X1 + 2r2 s 10 X1, X2 0

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Q: Maximize P= 7x+9y Subject to: 2x+ y12 x, y 20

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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…

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A: a)  The inqualities are |x|<=1 & |y|<=1 , if we see graphically, the common region is the…

Q: Find the minimum of Q = x2 + y2 if x + y = 6.

A: To find the minimum of Q=x2+y2,if x+y=6. Solution: given, x+y=6⇒y=6-x   ...(1)⇒Q=x2+y2⇒Q=x2+(6-x)2…

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

A:

Q: Maximize Q = xy2, where x and y are positive numbers, such that x + y2 = 10.   Question 14 options:…

A:

Q: Find the minimum value of f(x,Y)=34x2+25y2 subject to the constraint x2+y2=196 %3D

A:

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: Given the area of a rectangle is A = bh, and the perimeter of the rectangle is 2b + 2h = 26,…

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 maximum and minumum values of f(x, y, z) = 7x – 14y + 35z subject to the constraint x² + y? +…

A:

Q: Maximize and Minimize P=2x+y Subject to x+y&lt;or= 5                     -x+3y&lt;or=3…

A: To determine: Maximize and Minimize:

Q: Find two positive numbers whose product is 193 and whose sum is a minimum. A 0,193 B 1,193 193…

A: Let the two positive numbers be x and y.

Q: A rectangular poster is to contain 200 square inches of print. The margins at the top and bottom of…

A: Given ,A rectangular poster is to contain 200 square inches of print.The margins at the top and…

Q: Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint x? + y? +…

A: The given function is; f(x,y,z) = 8x-16y+40z

Q: Maximize 5x+5y subject to  2x+y≤30 x+2y≤24 x,y≥0

A: Let us take P = 5x + 5y, now we can form the tables for the constraint inequalities and then solve…

Q: Find x1 20 and x2 20 such that X1 + X2 < 10 5x1 + 2x2 < 20 X1 + 2x2< 36 and z = x1 + 3x2 is…

A:

Q: Minimize and maximize P= 2x, - 9x2 subject to Xq + X2 s20 5x, + 3x2 2 75 X1,X2 20

A:

Q: Maximize x2y subject to the constraint that 1 > x+y.

A:

Q: Maximize P=5x-5y   subject to 2x+y≤30 x+2y≤24 x,y≥0

A: We can use the graphical method to find the maximum value of P for this linear programming problem.

Q: The shaded region A is farmed by the tines y- 2. v 31, and y -6 Write down the three Inequalities…

A: Consider the given graph for the functions: y=2 , y=3x and x+y=6

Q: The model Maximize 30x + 40y Subject to: • 30x + 31y = 0

A: Write the set of values for corner points.

Q: Set et up the Simplex tubleau Maximize P=9x+ 24+ 7z Where Sx+34+102/317 4x-lay-97<=32 dx +lay +57=…

A: let  p as Z and X as X1 , y as X2 , Z as X3 Find solution using Simplex method (BigM method) MAX Z =…

Q: Maximize z=14x, + 3x2 subject to: 7x, + 3x, 58 X1 +3x, 54 X, 20, X2 2 0. with

A: We will be using the simplex method to solve the following system.

Q: Sketch the region that corresponds to the given inequalities, say whether the region is bounded or…

A:

Q: Find a number within the interval [-5,5] such that the sum of the number and the square of one less…

A: Let, the number is x. The sum of the number and the square of one less than the number, S=x+(x-1)2

Q: Show that a) max{x, y} = (x+y + |x−y|)/2 b) min{x, y} = (x+y − |x−y|)/2

A: See the attachment

Q: minimize c= -x+2y subject to y or equal to 4 x> or equal to 6 x+ y < or equal to 16

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Q: Maximize p = x + y 2y > Subject To: 4 2а + Y 8 And Where: {r > 0, y > 0} y = p = AL VI VI +

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Q: 18. Maximize P = 4x – y subject to 2x – 3y 2 -6 2x + y < 6 x + 3y 2 3

A:

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

A:

Q: Find the minimum value of f(x,y)=48x²+30y2 subject to the constraint x2+y2=361 %3D

A: Given that fx,y=48x2+30y2 Let, gx,y=x2+y2 Then, fx=96xfy=60ygx=2xgy=2y

Q: Describe the region of R^3 represented by the inequalities: c) -2&lt;x&lt; 2, -1&lt;y&lt;1,…

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Q: Given 81 variables that satisfy 0 < a1 < a2 < ...< ası <1, what is the maximum value of

A: Given:

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

A:

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: A wire 12 inches long is cut into two, one part is bent in the form of a circle, and the other into…

A:

Q: Sketch the region that corresponds to the given inequalities, say whether the region is bounded or…

A: Here the given inequalities as,

Q: Find x1 20 and x2 20 such that X1 + X2 < 10 5x1 + 2x2 < 20 X1 + 2x2 < 36 and z = x1 + 3x2 is…

A:

Q: Given 81 variables that satisfy 0 < a1 < a2 <...< ası < 1, what is the maximum value of

A: Given:

Q: Maximize z = 14x, + 3x, +3x2 subject to: 7x, +3x, s8 2

A:

Q: Use Lagrange multipliers to solve Maximize…

A: Consider  fx, y=2x+2xy+y Subject to constraints   2x + y = 100

Q: A rectangular field is to have an area of 900 sq. m. This is to be enclosed and divided into three…

A: Let's find.

Q: Find the minimum value of f(x,y)=48x2+30y2 subject to the constraint x2+y23D361

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Maximize p = 5x + 7y + 6z subject to x + y + z 100 x 2 0, y 2 0, z > 0. p = (х, у, 2) 3

A: The given constraints are, x+y+z≤150, x+y+z≥100 and x≥0, y≥0, z≥0. Obtain the coordinates x,y,z…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.