Maximize: z=D13x +8y subject to: 6x+8y s 48 13x +y s48 x20, y 0 The maximum value is

Q: Find the maximum value of z = xy2 subject to 2x2 + y2 = 294; x ≥ 0, y ≥ 0. z =

A: Given information : z = xy2  subject to  2x2 + y2 = 294;  x≥0;  y≥0.

Q: Maximize f = x + 3y subject to x + 4y 0 Rectan

A:

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: Samuel is running a diet center. Each lunch requires 0.3 kg of protein, while each dinner requires…

A: 0.3 Kg lunch time 0.4 Kg dinner time 167 Kg every month

Q: Maximize z = 15x + 15y Subject to 10x + 8y z 190 10x - 14y 2 - 30 x+y s 45 X, y z 0

A:

Q: A consumer can spend £1280 on two goods x and y, costing £12 and £16 per unit respectively. His…

A: This is a problem of optimization.

Q: 5. y2 2x y26-x fx, y) = 4x+ 3y Minimum: Maximum: | | | | |

A: We need to find maximum and minimum values of f(x,y).

Q: Q4) by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z310X1+25X2…

A:

Q: Find the minimum value of f(x,y)=66x2+9y2 subject to the constraint x2+y2-784

A:

Q: Use Lagrange multipliers to find the maximum production level when the total cost of labor (at $113…

A:

Q: Find two nonnegative numbers x and y with 2x + y = 3 for which the term xy² is maximized. by

A: Given 2x+y=30, we need to maximize xy2

Q: Find two nonnegative numbers x and y for which 2x + y = 30, such that xy2 is maximized.

A: Given that, 2x + y= 30 y = 30 - 2x ................... (1) The function is: f(x, y) = xy2  f(x) = x…

Q: Use Lagrange multipliers to find the maximum production level when the total cost of labor (at $117…

A: Calculate the constrain C(x,y).Cost for labor = $117/unit.Cost for capital = $50/unit.

Q: Use the simplex method to solve. Minimize w= 6y, +Y2 subject to: 5y, + 5y, 2 25 5y, + y2 2 26 y, 20,…

A:

Q: Maximize f(x,y)=x2+y2 subject to the constraint 2x+6y=26 the last question is what is the maximum…

A: Given fx,y=x2+y2 and 2x+6y=26-1Let gx,y=2x+6y-26∴ Fx,y=x2+y2-L2x++6y-26By lagrange's…

Q: Maximize: F = 39x+17y Subject to: x+2y<8 x+y<6 x+4y<14 x, y 2 0

A:

Q: Maximize Subject to Maximum is X = y = z = 2x + y x + 5y < 4x + 5y ≤ X Y 25 40 νι νι ΛΙ ΛΙ 00 at

A:

Q: find the values of  x greater than or equal to 0 y greater than or equal to 0 that maximize…

A:

Q: Q6) by using the (graphical method) find the optimum solution of X1, X2 that the minimum Z=10X1+25X2…

A:

Q: 10. Maximize f(x, y) = 25 – ² - y² subject to 2x + y = 10

A:

Q: Find positive numbers x and y such that x + y = 48 and 5x2y + 10 is maximized.

A: Given that, x + y= 48 y = 48 - x ................... (1) The function is: f(x, y) = 5x2 y+ 10 f(x) =…

Q: Maximize P3D3X+3y Subject to 2x+y s 10 x+2y s 8 X, y 2 0

A:

Q: The function f(x.y.z) = 2x+z? has an absolute maximum value and absolute minimum value subject to…

A:

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

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: Maximize: z =x+ 10y subject to: 6x+ 5y < 30 10x +ys 30 X20, y 2 0 The maximum value is

A: Constraints: 6x+5y≤3010x+y≤30 Graph each inequality by finding x  and y intercepts 6x+5y=30x…

Q: In p(x,y) = 3ry – x* – y°, x is the average daylight and y is the average daily rainfall. %3D Solve…

A: To find the points that maximize the the productivity of the function px, y=3xy-x3-y3

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

A:

Q: Maximize f(x,y)=64-(x-2)2-(y-2)2 subject to the contraint x2+y2=8 when the maximum occurs, what is…

A: Given, the function is f(x, y) = 64 – (x – 2)2  - (y – 2)2 subject to constraints x2 + y2 = 8.

Q: The function f(x,y.z) = 2x +z has an absolute maximum value and absolute minimum value subject to…

A:

Q: Use the method of Langrange Multipliers to find the maximum value of f(x, y) = 4xy subject to 2x − y…

A: Explanation of the answer is as follows

Q: The function f(x,y) = 8x² + y° has an absolute maximum value and absolute minimum value subject to…

A:

Q: Find the maximum value of P(x,y) = 12x + 15y subject to the constraints: x>0 y 0 4x + 3y 12

A:

Q: 3. Use Lagrange multipliers to find the relative extrema of the function f(x,y)=1620.70. 0.3 subject…

A:

Q: Use Lagrange multipliers to find the extreme values of F(x,y)=x^2-y^2  subject to the constraint…

A:

Q: The function f(x, y) = 2x2+y2 has an absolute maximum and absolute minimum subject to the constraint…

A:

Q: Use Lagrange multipliers to find the maximum and minimum values of f(x,y) = x² + y?; subject to x? –…

A: Given, f(x,y)=x2+y2; subject to x2+y2-2x-4y=0. We have to find the maximum and minimum value of the…

Q: Of all points (x,y,z) that satisfy x+y+4z=24, find one that maximizes (x-1)2 +(y-1)2+(z-1)2

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: min (Z = 4x? + 2x? + x} – 4x1x2} s.t. X1 + x2 + x3 = 15 2x1 – X2 + 2x3 = 30 Use Lagrange multipliers…

A:

Q: maximize 2= 1.8x, t H,2X2 Subgect to: 2.8X + 3.4x2= 21 1.4x1 +2.2x2 s 11 w+し ×、=o,メ2 Mo what is the…

A:

Q: Q#2: Maximize U=w°+z0.6 subject to 2w+4z=100 and find optimal value of x and z. Also, verify that…

A:

Q: Find the maximizer of f(x, y) = x² + y² subject to 2x + y ≤2, z ≥ 0 and y ≥ 0.

A:

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: The function f(x.y.z) = 2x +z has an absolute maximum value and absolute minimum value subject to…

A:

Q: The function f(x,y) = 7xy has an absolute maximum value and absolute minimum value subject to the…

A:

Q: Find the maximum value of the function f(r, y) = x²y subject to the constraint z² +y= 5. %3D

A: We will find maximum value by using Lagrange multipliers.

Q: Q1/Use simplex method to maximize the function max R=7x+ 4y Subjected to 2x+ y =20 X+Y< 18

A: To maximize R=7x+4y S.T.C. 2x+y=20x+y≤18x≤8 Introduce the slack and artificial variables: Max…

Q: Use Lagrange multipliers to solve Maximize…

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

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.