Maximise 1170x1 + 1110x2 Subject to: 9x1 + 5x2 ≥ 500 7x1 + 9x2 ≥ 300 5x1 + 3x2 ≤ 1500 7x1 + 9x2 ≤ 1900 2x1 + 4x2 ≤ 1000 x1, x2 ≥ 0 -Find graphically the feasible region and the optimal solution.

Q: Suppose you are fencing a rectangular region with one side along the river. Suppose that no fence is…

A: Given that: Area of the rectangular region = 338 m2

Q: 2. Maximize. z subject to 2x1 + 3x2 – 4x3 = 3x1 - 2x2 + x3 0, x2 > 0, x3 > 0.

A:

Q: A farmer needs to take a rectangular plot of land and divide it into 6fields of equal area. He has…

A: First of all, construct the diagram as per the question.Let, l = length of the field. b = breadth…

Q: Use Simplex method to Maximize Ζ = 4x1 +10x2 Subject to  2x1 + x2 ≤ 50                    2x1 +…

A: Solution

Q: 4. Minimize: Z = 3X₁ +5X₂ + 5X3 + 4X4 Subject to: 8X₁ + 2X4 ≤ 100 4X +3X - 90

A: Introduction: The simplex method is a method for testing vertices as potential solutions in a…

Q: Solve by the Big M – method: Maximize Ζ = x1 + 2x2 + 3x3 − x4 Subject to x1 + 2x2 + 3x3 = 15 2x1 +…

A:

Q: It has been said that each LP problem that has a feasible region has an infinite number of…

A: Feasible region:          The feasible region is nothing but the common area in which all the given…

Q: A manufacturer is building a box with no top. The box is constructed from a piece of cardboard that…

A:

Q: Maximize P = x1 + 2x2 + x3, Subject to: 3x1 + x2 + x3 <4 x1 + x2 + 2x3 < 4 æ1, X2, x3 and give the…

A: It is given that, Max P=x1+2x2+x3 Subject to the constraints, 3x1+x2+x3≤4x1+x2+2x3≤4and x1,x2,x3≥0…

Q: Convert the given problem into a maximization problem with positive constants on the right side of…

A: In Two Phase Method, the whole procedure of solving a linear programming problem (LPP) involving…

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

A:

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

A:

Q: any produel defective computers that must be rejected tends to increase as the daily output creases.…

A:

Q: If the revenue function is           R=500x-2x2  a)  Find the vertex .  b) What is the maximum…

A: Given revenue function is                                                              R=500x-2x2…

Q: Maximize Z = 19x1 + 8x2 subject to 9x1 + 16x2 0

A: Consider the given problem.

Q: Maximize Z = 20x1 + 8x2 subject to 16x1 + 8x2 0 %3D

A:

Q: Question Consider the minimization problem: Minimize Subject to P(w₁, W2, W3) = 10w₁ +5w₂+W3, 3w₁ +…

A:

Q: Maximize: z=2x1+x2 subject​ to: x1+4x2 ≤ 12   2x1+5x2 ≤ 2   x1+6x2 ≤ 4 with x1≥0, x2≥0.   A.The…

A:

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

A: Using lagrange multiplier method we can easily obtained maximum or minimum value of a function for…

Q: The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is…

A:

Q: Solve the following problem by using M-Technique Method. Maximize:- z= x₁ + 2x₂ + x₃ s.t x₁ + x₂ +…

A: Given,Max Z = x1 + 2x2 + x3subject tox1 + x2 + x3 = 72 x1 - 5 x2 + x3 ≥ 10and x1 ,x2 ,x3≥0

Q: Maximize: Z = 5x + 2y with 3x + 2y 15 4x + y ≤ 12 x ≥ 0 and y ≥ 3 Max value, Z=

A:

Q: 6. Determine the maximum value of the following quadratic function. fx) = -3 x2 + 6x + 4 %3D О Мах…

A: To find the maximum value of f(x).

Q: Use the simplex method to find the

A: Given,        Max(Z)=20x1+10x2subject to            4x1+x2+x3=30           2x1+3x2+x3≤60…

Q: Solve the following model using Excel: maximize Z = 3x₁ + 6x2($, profit) subject to 3x12x2 ≤ 18…

A: Given LPP:Maximize Subject to,To find:The solution to the LPP using Excel.

Q: Suppose a company has a total costs of 0.1x² + 35x + 15000, where x is the total number of units…

A: We will find out the required values.

Q: The following is a L.P.P: Max Z- 5X1 + 7X2 + 6X3 (Hundreds of dollars $) s.t: 3X1 4X2+ 2X3 -0

A: Since we increase the value of b2.