Use the graphical method to solve the following problem: max Z = 2x1 + x2 subject to: 3x1 + x2 ≤ 44 2x1 + 5x2 ≥ 60 x1 + x2 ≤ 18 x2 ≤ 10 x1, x2 ≥ 0
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Use the graphical method to solve the following problem:
max Z = 2x1 + x2
subject to:
3x1 + x2 ≤ 44
2x1 + 5x2 ≥ 60
x1 + x2 ≤ 18
x2 ≤ 10
x1, x2 ≥ 0
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- Scenario You are going to plant a rectangular flower bed consisting of tulips in the middle surrounded by daisies on the outside. You have the same amount of each flower and will need an equal area for each. You want the border of daisies to be uniform around the tulips in the middle, as shown in the diagram below:Define n/n problem with a suitable practical example. Multiple solution in case of certain n/2 problem? Explain.Let’s consider the following LP problem: min Subject to: Solve the problem with the graphic method.
- What combination of x and y will yield the optimum for this problem? Maximize Z = $3x + $15y Subject to: Multiple Choice x= 0, y=4 x= 0, y=3 x= 0, y=0 x= 2y=0 O x=1,y=25 2x + 4y ≤ 12 5x + 2y ≤ 10Find the exact solution of the homogeneous equation xy 2 dy 3 3 (d) x = y³ - x³, y(1) = 2Solve the following Linear Programming model using the graphical method (USING EXCEL){Write the steps of construction} Q1)MaximizeH = x + 3y Objective functionsubject tox + y ≤ 502x + y ≤ 60 x ≥ 0, y ≥ 0
- The question is included in the pictures.Solve the linear programming problem by the method of corners. Maximize P= x + 6y subject to x + y s4 2x + y s6 x 2 0, y 20 The maximum is P = at (x, y) = Need Help? Read It4 For each of the following, determine the direction in which the objective function increases: a z = 4x, - x2 b z = -x, + 2x2 C z = -x - 3x2
- minimize Z = 5x1 + x2 subject to 3x1 + 4x2 = 24 0 x1 x1 + 3x2The captain of a cricket team has to allot five middle batting positions to five batsmen. The average runs scored by each batsman at these positions are as follows: Batsman Batting position IV V P 40 40 40 35 25 50 Q 42 30 16 25 27 R 50 48 40 60 50 S 20 19 20 18 25 T 58 60 59 55 53 • Batsmen 'U' with the following average runs in batting positions as given below: Batting position IV V Average runs 45 52 38 50 49A survey was conducted to 12 first time voters on their preferred candidate. The results are: BBM, BBM, LR, IM, PL, PL, IM, IM, BBM, BBM, LR, LR. Which statement is true? The Borda score of PL is two points. BBM wins by plurality method. The Condorcet winner is IM. The modes are LR and IM Which of the following is a property of all linear programming problems? alternate courses of action to choose from minimization of some objectives a computer program usage of graphs in the solution