Use the simplex method and the Duality Principle to solve the following minimum problem: C =z, +4zz Minimize: Subject to the constraints: 21 + 23 21 20 and using your final tableau answer the questions below by entering the correct answer in each blank box. Please enter fractions as 3/5. -4/7. and so on

Q: Solve the given linear programming problem. Minimize z 6x +dy subject to x 2 0, y 2 0, x + y 2 4, x=…

A: The given subject to constraints:-  x≥0,y≥0, x+y≥4, x≤8,y≤10. Maximizing z=6x+4y

Q: The minimum value of J.y,Z) = 6x - y – óZ subject to the constraints *+y -Z=0 and ? + 2? = 1 is?

A: Given,          The minimum value of fx,y,z=6x-y-6z subject to the constraints x+y-z=0 and x2+2z2=1.

Q: Find the maximum value of z =12x+9y subject to the constraints 4x+3y ≤36 8x+3y ≤48 x≥0, y 20

A: Given the objective function Maximize Z= 12x+9y. subject to  4x+3y≤368x+3y≤48x,y≥0 use the graphical…

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

A:

Q: Use the simplex method to solve the following maximum problem: Maximize:   p=x1+2x2 Subject to the…

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Q: Use the method of Lagrange multipliers to find a. the minimum value of x + y, subject to the…

A:

Q: Find the minimum value of  z = 6x2 + y2 − xy  subject to the constraint  2x + y = 12.

A: Use Lagrange theorem

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: Solve the following problem using the method of Lagrange multipliers: Find the marimum and minimum…

A: To find the maximum and minimum values of x−y3, subject to the constraint x2+9y2=9.

Q: Solve the linear programming problem by the simplex [yz-2x+34 method. Minimize 10x + 4y subject to…

A:

Q: 4. Use the simplex method to find a basic feasible solution that maximizes Z = 2x+7y subject to the…

A: It is given x≥0 and y≥0 - 4x + 2y ≤ 8   , taking 2 common outside  2(-2x + y) ≤ 8 - 2x + y ≤ 4…

Q: Find the values of​ x, y, and z that maximize xyz subject to the constraint 192−x−8y−16z=0.…

A: Use the lagrangian's multiplier  xyz+λ192-x-8y-16z Partially differentiate with respect to x, y, z…

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

A:

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: 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: HW 4: Use the simplex method to solve the following problem and verify the solution by the graphical…

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Q: Use the method to the given constraint. maximise the Maximize the function & (or, y) = x+ 5y²…

A: Given function is f(x,y)=x+5y-2xy-x2-2y2 Given constraint is 2x+y=4   To Maximize the given function…

Q: A triangle has variable sides x, y, z subject to the constraint such that the perimeters is fixed to…

A: answer is in next step

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

A: Given constraints: 14x1+6x2≥24x1+3x2≥6 Solution: We shall solve the given constraints using graph to…

Q: Consider the following LP model: Max: P = 20x + 35 y Constraints: 2x +y0 y 2 0 Graph the feasible…

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Q: Use the method of Lagrange multipliers to find the maximum and minimum values of the function…

A: Given:- F(x, y) = xy g(x, y) = 4x2 + 8y2 -49=0 To find:-  Maximum and minimum value of f(x, y) by…

Q: Maximize the function P = 9x - 5y subject to y 2 5x + 6y s 30 8x +3y 2 24 What are the corner points…

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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: Solve the linear programming problem by sketching the region and labeling the vertices, deciding…

A: Here we have to find minimum value if exist.

Q: Use the simplex method to solve the following maximum problem: Maximize:  p=x1+2x2 Subject to…

A:

Q: Use the indicated region of feasible solutions to find the maximum and minimum values of the given…

A: We will answer the first question only as we don't answer multiple questions at a time. Please…

Q: Find the minimum value of w = x2 + y2 + z2 subject to the constraint x + y + z = 9. w =

A: Answer

Q: Use the method of Lagrange multipliers to find the maximum and minimum values of the function…

A: Given function is fx,y=xy and 4x2+8y2=64. We have to find the maximum and minimum values of the…

Q: Use the simplex method to solve the problem. Find y, 20 and y, 20 with the given constraints.

A: Given,     Min w = 6y1+y2 subject to           5y1 + 5y2 ≥ 25           5y1 + y2 ≥ 28    and   y1,…

Q: A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The trick ski…

A: according to the question

Q: Given the feasible region formed by the following linear inequalties: 3x − y ≥ 7 2x + y ≥ 20 x + y…

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Q: 2. Use the standard simplex method to solve using your first pivot choice. Provide the sequence of…

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Q: Find the maximum and minimum values of x + y subject to the constraint x - 10x +y - 8y = 0. What is…

A: x2+y2 subject to the constraints x2-10x+y2-8y=0

Q: Use the simplex method to solve the following maximum problem: Maximize:          P=4x1+2x2+5x3…

A: The solution of the problem is given in the next steps.

Q: Solve the given item on a separate sheet of paper. A rectangular box with open top and has a square…

A:

Q: Maximize z = 8x + 2y, subject to the following constraints. (If an answer does not exist, enter…

A: Given the equation: z=8x+2y constraints: 2x-5y≤10; -2x+y≤2; x≥0; y≥0   To find the maximum value of…

Q: Use the simplex method to solve the following maximum problem: Maximize: P 6x1 + 19x2 Subject to the…

A:

Q: Use the method of Lagrange multipliers to find the maximum and minimum values of the function…

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Q: Use the method of Lagrange multipliers to find the maximum and minimum values of the function…

A: We have given f(x, y) = x2y; subject to the constraint g(x, y) = x2 + 2y2 = 6.

Q: Find the absolute maxımum and minimum of f(r, y) = x² + y subject to the constraint 3x2 + 4y? = 5

A: To find the absolute maximum and minimum values of f(x,y) subject to constraint g(x,y).

Q: Use the simplex method to solve the following maximum problem: Maximize: p=7x1+5x2 Subject to the…

A: Given the data:

Q: Solve the given item on a separate sheet of paper. A rectangular box with open top and has a square…

A:

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

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Q: Locate all the corner points. (enter a comma separated list of points.) Find the maximum value of…

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Q: Solve the linear programming problem by the simplex (y2 -2x+41 method. Minimize 10x + 4y subject to…

A: Question: Minimize Z=10x+4y Subject to                   y≥-2x+41y≤-x+36y≤-13x+14y≥-14x+6x≥0,y≥0 By…

Q: Given the following linear problem Minimize z = 5x1 + 2x2 + 6x3, subject to: 4X1 + 2x2 + x3 ≥ 12 3x1…

A: Introduction: The pivot variable is crucial to the conversion of the unit value since it is used in…

Q: Maximize the function P = 9x – 8y subject to y 2 6x + 6y < 36 9x + 3y 2 27 What are the corner…

A: We need to maximize the function P=9x-8y subject to the constraints, x≥0y≥06x+6y≤369x+3y≥27

Q: Give the conditions for Simplex method to be applied, then find the optimal solution of the…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.