Consider the following LP model: Max: P = 20x + 35 y Constraints: 2x +y< 8 x – 2y < -6 x >0 y 2 0 Graph the feasible region for the problem. Find the optimal solution for the problem.

Q: Identify the feasible region for the following set of constraints: 2A - 1B ≤ 0 -1A + 1.5B ≤ 200…

A: The graph of region corresponding to the inequality 2A-B≤0 is the region above the line 2A=B. The…

Q: At the optimal solution from part a), analyze the bank’s constraints (number of new branches, number…

A: answer of given question is in next step

Q: QUESTION 2 Maximize P = 2x + 6y subject to the constraints: 2x + 5y < 40 6x + 5y < 90 A - Graph the…

A: solution of the given problem is below...

Q: Find the values of x≥0 and y≥0 that maximize z=14x+11​y, subject to each of the following sets of…

A: Hey, since there are multiple subparts posted, we will answer the first question. If you want any…

Q: Locate the feasible region whose boundary lines are graphed below. * Given the following…

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Q: Solve the given linear programming problems by simplex method: 2. Maximize: Z = 50x + 15y and the…

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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: min C(L,K) = 2L+3K s.t. F(L,K) = LK ≥ 10, L≥ 0, K≥ 0. x,y

A: minx,yC(L,K) = 2L+3K s.t. F(L,K) = LK≥10, L≥0, K≥0. The constraints in the above cost-minimisation…

Q: Formulate the objective function and the constraints for a situation in which a company seeks to…

A: Initially we have to create the linear equations representing the given situation.

Q: Given: Three constraints: i) 10 sxs 50; i) y 2 20; and ii) x + y > 50 Required: a) Draw a graph and…

A: We will use basic knowledge of linear programming to answer all three parts of this question for…

Q: 2. Зх + у 2 6 4х + 5y 10

A: Inequality: It is an algebraic expression with a relationship between the two numbers consisting of…

Q: Find the number of slacks variables needed and use slack variables to convert each constraint into a…

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Q: Solve the following LP problem by using the graphical procedure and by using Excel: Minimize cost =…

A: Linear Programing is a mathematical technique to optimize given constrains.

Q: Use the simplex method to solve the following maximum problem: P = 4x1 + 5x2 Maximize: Subject to…

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Q: Locate the feasible region whose boundary lines are graphed below." Given the following constraints…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Locate the feasible region whose boundary lines are graphed below. " Given the following constraints…

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Q: Draw the feasible region for the table manufacturing problem, where the constraints are modelled as…

A: Given 2x1+3x2≤3023x1+2x2≤16513x1+4x2≤64x1,x2≥0 Now graph of 2x1+3x2=3023x1+2x2=16513x1+4x2=64 is

Q: A graphical approach was used to solve the following LP model in Problem 2–16: Maximize profit =…

A: To Maximize profitZ=4X+5Y Subject to constraints: 5X+2Y≤403X+6Y≤30x≤72X-Y≥3X,Y≥0 Converting the…

Q: QUESTION 14 Calculate the maximum value of 9x + 6y subject to the constraints below: 2x + 2y s 18 x…

A: Linear Programming: Linear programming is the basic concept used for Optimisation problems. The…

Q: Consider the problem of minimizing 3x+2y subject to the constraint x+y=1. What is the optimal level…

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Q: The graph of a feasible region is shown above. If the objective function is C = 3x + 4y, Ca) its…

A: This is a problem related to maximum and minimum value of the graph function. Based on the…

Q: For the given maximization problem, (a) determine the number of slack variables needed, (b) name…

A: There are two constraints involving inequality. Hence two slack variables are requires. Therefore…

Q: Locate the feasible region whose boundary lines are graphed below. Given the following constraints…

A: We will find out the required solution.

Q: Here is a dictionary of an LP: X4 4 +3x3 -2x5 3 +x3 -x5 X2 4 +2x3 -x5 13 +5x3 -4x5 || (a) What is…

A: We are given the following dictionary of an LP.         x4=4+3x3-2x5x1=3+x3-x5x2=4+2x3-x5…

Q: Maximize p = x + 3y subject to the following constraints. x - 4y ≤0 4x - y ≥ 0 x+y≤ 10 x ≥ 0, y ≥ 0…

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Q: Graph the feasible reglon. -x + y s 0 X S 5 y 2 -6

A: given -x+y≤0                x≤5                y≥-6      we have to graph the feasible region and…

Q: For the given constraints and the objective function, z = 55x + 40y, a. Graph the feasible region…

A: a. Graphing the feasible region: Hence vertices are (0,18), (4,10), (12,0)

Q: Maximize  z = 8x + 9y,  subject to the following constraints. −3x  +  y ≤ 3 2x  −  4y ≤ 8 x  ≥  0,…

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Q: 5x+y210 x+y56 x+4y2 12 y20 minimum for C 10,000x + 20,000y Oc=24,540 Oc-67,370

A: The function is given as Minimum C = 10, 000x + 20, 000y Subject to constraints,…

Q: For the given constraints and objective function, z = 600x + 850y, a. Graph the feasible region and…

A: a. Graphing the inequalities and finding the vertices: Hence the vertices of the feasible region…

Q: For the given maximization problem, (a) determine the number of slack variables needed, (b) name…

A: A maximization problem is given. We need to find number of slack variable and name them. Also, we…

Q: Vanlia nental eggs and eam. Into each quar 1000 eggs and 500 cups of cream. Draw the feasible region…

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

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Q: A company makes two types of electronic devices: laptops and tablets. Its business plan says that it…

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Q: QUESTION 15 Calculate the minimum value of 3x + 6y subject to the following constraints: x+y22 x +…

A: Given: A LPP, Min z=3x+6ysubject to,x+y≥2x+2y≤5x+y≤6x, y≥0 To find: Solution of given LPP.

Q: Maximize 4x + y subject to the constraints  −3x + 5y ≤ 40 3x + y ≥ 5  x ≥ 0, y ≥ 0. (a)  Plot…

A: Maximize 4x + y Sub to 3x + 5y ≤ 40 3x + y ≥ 5 x ≥ 0, y ≥ 0.

Q: Given the LP problem, Maximize z = 5x + 2y subject to x + 3y < 5, 2x + y < 2, x + y < 3, х,у 20. a)…

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Q: Given the following 2 constraints, which solution is a feasible solution for a maximization problem?…

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Q: corresponding graph below. Maximize z = 5x + 4y Subject to: 3x + 2y = 8 x >= 0 y >= 0   From the…

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Q: The graph of the feasible region is shown. g = 7x + 9y y 3x + y = 60 4x + 10y = 280 x +y = 40 Find…

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Q: Solve the following LP problem using the corner point graphical method. At the optimal solution,…

A: Convert the inequality into equality and find the intersecting point from the equations:

Q: 1. Solve the following problem, using the corner point method/graphical solution procedure. For the…

A: To find feasible region we need to draw graph of lines obtained by converting in equalities to…

Q: Given the following constraints, find the maximum and minimum values for z.   Constraints:…

A: Please see the explanation below

Q: When using a graphical solution procedure, the region bounded by the set of constraints is called…

A: Given  Region bounded by the set of constraints

Q: Use the given feasible region determined by the constraint inequalities to find the maximum possible…

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Q: Maximize z = 8x + 4y, subject to the following constraints. (See Example 8.) 2x + y ≤ 11 3x + 4y ≤…

A: A linear programming problem is a real-life application. When the aim of some problem is to maximize…

Q: 'SSP b1 Minimize z = 0.6x1 +0.35x2 subject to: 5x1 +7x2 2 8 4x1+ 2x2 2 15 2x1 + x2 2 3 x1 2 0, x2 2…

A: As per the guidelines I solved your first question complete. For more solutions please repost the…

Q: For the given maximzation problem, (a) determine the number of slack variables needed, (b) name…

A: Consider the maximization problem  Maximize z=9x1+3x2+x3 subject to…

Q: By how much would the optimal value of z approximately change as a result of a change in the size of…

A: Given z=3x2-xy  ...1 and constraint is x-y=7  ...2