Solve the following linear program graphically: Maximize P = 4X1 + 2X2 Subject to X1 + 2X2 < 6 (machine time) 2X1 + 2X2 < 8 (labor) where X1, X2 > 0

Q: Consider the following linear program:            Max Z = -4x1 + 2x2 Subject To: -2x1 + 2x2 ≤ 7…

A: We have: Max Z=-4x1+2x2Subject to-2x1+2x2≤7x1≥2x1-4x2≤02x1+2x2≥10x1, x2≥0 Part(a) If the constraint…

Q: Consider the following linear program: maximise Z =1.5x+y subject to: x<4 ys6 x+y<=5 X,y2 0

A: Given: Maximize z=1.5x+ySubject to:x≤4y≤6x+y≤5x, y≥0

Q: Consider the following linear program: Maximize 3A + 2B Such that 1A + 1B < 10 3A + 1B < 24 1A + 2B…

A: Consider the following linear program:Maximize 3A+2Bsuch that,1A+1B≤103A+1B≤241A+2B≤16A≥0, B⩾0a To…

Q: solve the following linear programming problems by graphical method maximize 2r1 +3r2 subject to I+…

A: Given: Maximize = 2x1 + 3x2  Subject to :   x1 + x2 &lt;= 1 3x1 + x2 &lt;= 4 And x1 ,x2 &gt;= 0

Q: (c) Write the dual problem

A: The following linear program ;  maximize Z = 3x1+4x2+x3 subject to ;…

Q: Solve this linear programming problem using graphical methods. Restrict  x ≥ 0  and  y ≥ 0.…

A: Given, 7x+3y≤105 2x+5y≤59 x+7y ≤ 70 x ≥ 0 y ≥ 0 We have to maximize  f = 8x + 5y

Q: Consider the following linear program: maximize: 4r +2r2 +3r3 s.t. r1- 2r2 + 3r3 < 12 - r1 +3r2 +x3…

A:

Q: Solve the following linear program by the solver method. Maximize: P = 50x + 30y  Subject to: 2x +…

A: Given: The LPP Maximize: P = 50x+30y Subject to: 2x+5y≤300                    5x+20y≤1000…

Q: Maximise 1170x1 + 1110x2 Subject to: 9x1 + 5x2 ≥ 500 7x1 + 9x2 ≥ 300 5x1 + 3x2 ≤ 1500 7x1 + 9x2 ≤…

A: Graph all the inequalities using a tool.

Q: Consider the following linear program:   Maximize            30X + 10Y Subject to:          3X +…

A: We will use Excel function "Solver" to solve the optimal solution   First we will enter the values…

Q: Consider the following all-integer linear program: Max 5x1 + 8x2 s.t. 5x1 + 5x2 < 32 9x1 + 3x2 < 38…

A: We are given an integer programming problem. Max 5x1 + 8x2s.t.5x1 + 5x2 ≤ 329x1 + 3x2 ≤ 38x1 + 2x2 ≤…

Q: Write the dual of the following linear program. maximize 3.x1 + 4x2 – 2x3 subject to Xi + x2 + x3 =…

A: We have to find the dual of the linear programming problem.

Q: Solve the following linear program graphically: Maximize P = 4X1 + 2X2 Subject to X1 + 2X2 0 2.…

A: Linear programming: lt is used for obtaining the most optimal solution for any complex problem. The…

Q: Solve the given linear program by graphical method. Maximize: P = 4x + 6y Subject to: 2x + 3y ≤ 24…

A: We have: Maximize : P=4x+6ySubject to : 2x+3y≤24x-y≤7y≤6x,y≥0 Let us make the graph of the…

Q: Use Excel to solve the linear programming problem. Maximize f = 8x1 + 17x2 + 24x3 + 31x4 + 36x5…

A: Step 1: Enter the variables and assign the initial values as zero(0). Step 2 : Enter the objective…

Q: Use the simplex method to solve the following linear program: maximize x1 + x2 + 3x3 subject to 1 +…

A:

Q: Solve this linear programming problem using graphical methods. Restrict  x ≥ 0  and  y ≥ 0. Maximize…

A: Given: Maximize Subject to,

Q: Solve the following linear programming problem.   ​Minimize: z=5x+30y subject​ to: 9x+12y≥61…

A:

Q: Solve the following linear program by simplex tableau Q3 Min 7x - 4y x+ 2y 2 4 X+ 3y о Q4 Min 3x +…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve the following linear program graphically: Maximize P = 4X1 + 6X2 Subject to X1+ X2 0

A: Given: Maximize P=4X1+6X2Subject to X1+X2≤6          .........1               3X1+2X2≤15…

Q: Solve the following linear programming problem. Minimize z=13x+9y subject to: 3x+4y>21…

A:

Q: An independent political candidate wants to run both TV and radio advertisements. Suppose that each…

A:

Q: Convert the following problem to standard form and solve. Maximize x1 + 4x2 + X3 Subject to 2x1 –…

A: We will use Microsoft Excel Solver to solve this.

Q: 3. Solve the following linear program graphically: Maximize P = 4X1 + 3X2 Subject to 6X1 + 3X2 10…

A: Consider the LPP,

Q: The formulation of a non-linear problem is as follows: Max f = (10 + 7x1 - x12 ) + (10 + x2 - x22 )…

A: Given:Max f=(10+7x1-x12)+(10+x2-x22)+(20+3x3-x33)subject to x1+x2+x3=8,              {x}&gt;0To…

Q: Solve the following linear programming model graphically: Maximize Z=6.5x1+10x2 Subject to:…

A:

Q: Solve the following linear program graphically maximize 2r + 5x2 subject to z <4, + 12 < 8, 12, 20.

A: Let us plot the mentioned constraints to get the feasible region.

Q: Solve each linear programming problem using graphical method. 1. Minimize: Z = 6x + 2y Subject…

A: Graph the problem as shown below:

Q: Maximize Subject to And ? = 4x1 + 3x2 X1 + x2 ≤ 4 2x1 + x2 ≤ 6 X1,x2 ≥0 Q1 Solve the following…

A:

Q: Solve the following linear programming model graphically: minimize Z = 5x + x, subject to 3x + 4x, =…

A:

Q: Solve the following linear programs by graphical method. Use extra sheets of paper if necessary. P =…

A:

Q: Consider the following linear program, where the value of c, has not yet been ascertained. Use…

A:

Q: The estimated monthly profit (in dollars) realizable by Cannon Precision Instruments for…

A: given that P(x)=-0.02x2+92x-109000

Q: Solve this linear programming problem using graphical methods. Restrict  x ≥ 0 and y ≥ 0. Maximize f…

A: First we find the points of the region then find the maximize f.

Q: Solve the following linear programming problem by the simplex method: Maximize P = x + 2y - z…

A: We will find solution using Simplex method (BigM method) MAX Z = x + 2y - z subject to 2x + y + z…

Q: Solve the following linear program using Simplex method. max 40(x1 + x3) +15(x2 + x4) St. 17x1 + 5x2…

A: Given : linear program  max 40x1+x3+15x2+x4s.t.     17x1+5x2≤150     30x3+13x4≤210     x1, x2, x3,…

Q: Exercise 4.5. Solve the following linear programming problems graphically. (a) maximize 5x, + 4r2…

A:

Q: Q1: Solve the following linear programming problem graphically Max z = 4x, + 5x2 Subject to 3x1 + x2…

A:

Q: Solve the linear program Maximize p = 3x+ 2y Subject to: 3x + y 0

A: Maximize p=3x+2y Subject to: 3x+y≤30x+y≤12x+3y≤30x≥0, y≥0 Now the graph is,

Q: Does the following linear program involve infeasibility, unbounded, and/or alternative optimal…

A: This question can be solved using the concept of linear programming.

Q: Given the following linear program:                                        Max       3x1 + 4x2…

A:

Q: Solve the following linear programming problem.   ​Maximize: z=x+14y subject​ to: 8x+7y≤56…

A: Maximize : z=x+14y Subject to :  8x+7y≤5614x+y≤56x≥0y≥0 Now solve this linear programming problem by…

Q: B/ solve the following linear programming problem using graphical method Min (z) = 300x₁+200x2 S.T.…

A:

Q: Solve the following linear programming problem using the Two Phase Method: Maximize: Z = 4X1+ 3X2 +…

A:

Q: Solve the following LP graphically: maximize 13x1 + 23x2 subjected to 5x1 + 15x2 0.

A:

Q: Solve the following linear programming by graphical method cllearly showing all the x and y…

A: Given  Objective function is                                       Z=400x+600y constraints are…

Q: Solve the following LPP by graphical method : Maximize Z = 22x1 + 18x2 Subject to constraints: 960x1…

A: Taking x1 on x-axis and x2 on y-axis , we have : The shaded region represents the feasible region…

Q: linear programming model graphically: minimize Z = 10x1 - 3x2 subject to: 5x1 - 4x2 ≥-20 x1 / x2 ≥ 3…

A: First graph the given inequality and obtain the coordinates of feasible region as shown below. From…

Q: A store has been selling a popular computer game at the price of $40 per unit, and at this price,…

A:

Q: 4. Solve the following linear program graphically: Maximize P = 4X1 + 6X2 Subject to X1+ X2s 6…

A: