Q1/ solve the following by using graphical method: Maximize Z=12x+16y, Subject to: 10x+20y < 120, 8x+8y< 80, X and y 20

Q: Use lagrange multipliers to find three positive numbers whose sum is 51 and the sum of whose squares…

A: Given that, the sum of the positive number is 51. That is, Fx,y,z=x2+y2+z2 and gx,y,z=x+y+z=51.…

Q: RTT and Sally are the two major companies that operate in Turkish pencil manufacturing industry.…

A: Solution is given below

Q: Use simplex method in finding your solution Minimize 3X1 + 5X2 + 5X3 + 4X4 Subject 8X1 + 2X4 s 100…

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: RTT and Sally are the two major companies that operate in Turkish pencil manufacturing industry.…

A: RTT and Sally are the two major companies that operate in Turkish pencil manufacturing industry.…

Q: . What is the value of the coefficient c of the equation y = ax³ + bx² + cx + d so that it will have…

A:

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

A:

Q: solve using simplex method minimize C =6x+16y subject to: x+y=400 x≤150 y≥200

A: Given,   Min C = 6x+16y        x+y=400        x≤150        y≥200        x, y≥0 The problem is…

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

A: The given linear programming problem is, Maximize P=4x+3y3x+5y≥203x+y≤16-2x+y≤1x≥0,y≥0

Q: Solve the following LPP by graphical and simplex method. Maximise Z = 8Xı +16X2 Subject to Xi +X2<…

A: max Z=8x+16ysuch that x+y≤282y≤2073x+6y≤982 in equation           equation                   points…

Q: An open box is to be made from 72 square meters of cardboard, and the length of the box must be…

A:

Q: Rae plans to build a rectangular pig pen against one of the walls of her barn. If she has 18 meters…

A: let l be the lengthlet w be the widthThen l+2w=18⇒l=18-2wLet Area of the rectangular pig pen be…

Q: A company manufactures two types of sneakers: running shoes and basketball shoes. The total revenue…

A: Given ,Revenue from x1 units of running shoes and                           x2 units of basketball…

Q: Solve the optimization problem. Minimize F = 20x² + 20y² with xy2 = 16. %3D F =

A:

Q: Use the Simplex Method (both phases if necessary) to either find an optimal solution for this LP or…

A:

Q: A company manufactures two types of bicycles, a racing bicycle and a mountain bicycle. The total…

A:

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

A:

Q: Find the number of units x that produces a maximum revenue R for R=450x-0.25x^2  A.) The feasible…

A: taking first derivative of equation as 0 to get the maximum revenue

Q: You want to build a pen against a wall with 18ft of fencing, you want to maximize a rectangular pen…

A: Solve the following

Q: Solve the optimization problem. Maximize P = xy with x + 2y = 42. %3D P =

A: Solve maximum using Legranges multipliers method

Q: Q5) by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z=4X1+5X2…

A: We have to find the optimum solution of given LPP using graphical method.

Q: Q4 /Find the optimal solution of (LP) by using graphical method Max. Z= 4X1+3X2 Subject to: 3X1+2X2…

A:

Q: x +y + 2z=1 2x-y-z = 0 x +2y-z = 4

A: Follow the steps below.

Q: Kindly show detailed solution. x2 Maximum point of y2 х-2

A: Given a function : y2=x2x-2 We need to find the maximum point. Let's begin.

Q: The maximum value of f(x, y) subject to the constraint g(x, y) = 280 is 5500. The method of Lagrange…

A: Consider the given information:

Q: Solve the optimization problem. Maximize P = x y with x + 2y = 36. P =

A: to maximize p

Q: Solve min x1-x2-2x3 problem by means of Lagrange multipliers under the constraints of x1+x2+x3=5 and…

A: To determine maxima and minima of the function with respect to some constraints then follow as Find…

Q: It takes Caroline 1 hr to ride the train to work and 1.5 hr to ride the bus. Every week, she must…

A: Given that it takes Caroline 1 hr to ride the train to work and 1.5 hr to ride the bus. Every week,…

Q: Q3) Find the optimal solution by using graphical method: Max Z = x, + 2x2 2x1 + x2 S 100 X1 +x2 < 80…

A:

Q: Find solution using BigM method MAX Z = 6x1 + 4x2 subject to x1 + 2x2 = 0

A: We have,

Q: A company manufactures two types of bicycles, a racing bicycle and a mountain bicycle. The total…

A:

Q: Maximize z= 14x, +3x,

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

A: Rx(x,y)= -10x-2y+42 Ry(x,y) = -16y-2x+102

Q: Use the two phase method to find solutions. minimize aX1 + bX2 subject to X1+ 3X2 =3 X1,X2 > 0

A: The given problem is : Minimize z=ax1+bx2 subject to x1+3x2=3                  x1,x2≥0 Converting…

Q: 2. The Minimum point of y = 8x+4 (x-2)²

A:

Q: UB is hosting a charity event and makes a profit of $14 on each faculty in attendance and $6 on each…

A: Linear equations are the equations with degree equal to 1. Linear inequalities are ignored when we…

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: Use the simplex method to solve the following problem and verify the solution by the graphical…

A: when minimum ratio test fail then problem is unbounded

Q: Solve for the optimal solution using the Simplex methodology: max z = 5x, +4x, subject to бх, + 4х,…

A: After introducing the slack variables, the LPP becomes Max z=5x1+4x2+0·s1+0·s2+0·s3+0·s4 subject to…

Q: Q4. Solve graphically. minimize 4x, + 2х, Subject to: х, + 2х, 2 2; Зх, + х, 2 3; 4х, + 3x, 2 6; X;;…

A: Given: 4x1+2x2=Z Subject to constraints : x1+2x2≥2 3x1+x2≥3 4x1+3x2≥6 x1;x2≥0

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: A management company is going to build a new apartment complex. They know that if the complex…

A: To find the number of apartments for which the cost is minimum and also find the minimum cost.

Q: A management company is going to build a new apartment complex. They know that if the complex…

A:

Q: Find solution using graphical method and then solve it by using LINGO Maximize Z = 15x1 + 10x2…

A: Given LPP problem is  Maximize Z=15x1+10x2 Subject to  4x1+6x2≤3603x1≤1805x2≤200x1,x2≥0 To solve the…

Q: Maximize Subject to · P= 30x +4082 2x₁+x₂ ≤ 30 X₁ + X₂ ≤21 *₁+2x₂ ≤ 36 X₁ X₂ 20

A:

Q: A delivery company wants to come up with a package box that has a square base and a volume of 40…

A: The dimensions for least amount of material is let X is the base edge and height of the box is h X=…