First show that for any Equilateral Triangle with side a the height is a. Then provide a nonlinear programming problem which help us to make an Equilateral triangle with maximum area by a wire with length L.

Q: Please see attached image, thank you!

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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

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A: given  P = x^2 y x+y=12

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A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: Use the simplex method to solve the linear programming problem. z= 700x, + 600x, + 100x3 X, + X2 +…

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Q: Write a relevant non negative integer value for *K* such that the problem remains feasible and the…

A: Given: Max Z=4x1+3x2 2x1≥12    (1)x1≥6  2x2≥18   (2)x2≥9 3x1+2x2≥K  3

Q: Also, we must have *2 0. y20. Therefore, the above problem can be formulated as follows: find x and…

A: The given linear programming problem is:              Maximize z=2x+1.25y  subject to the…

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A: Given that The Denham Motel in Leduc has 90 rooms. If $300 per room is charged the owner will rent…

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Q: The manufacturer of a CD player has found that the revenue R (in dollars) is R(p)=-5p^2+1,920p,when…

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Q: Calculate the maximum value of 4x + 6y subject to the constraints below: 3x+ ys16 x+3ys16 yz1 x20

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Q: Suppose the coefficient of x, in the first constraint will be changed (currently, it is 2). What is…

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Q: Maximize 5000 X1 + 7000X2 + 9000X3 Subject to: X1 + X2 + X3 ≤ 2 Constraint 1 -X1 + X2 ≤ 0 Constraint…

A: Suppose a slack variable is given as x1+x2+x3≤M, The slack variable can be define as how much the…

Q: Use the method of linear programming to solve the problem. Five friends, all of whom are…

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Q: 3. If the sum of two numbers is C, find the minimum value of the sum of their squares.

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Q: Differentiate nonlinear from linear programming by defining and stating functions thereof

A: Linear programming: Linear programming is used to find the best solution from a set of parameters…

Q: Maximize the objective function subject to the constraints 4x + y ≤ 56, 5x + 4y ≤ 92, x ≥ 0, and y…

A: These feasible region is shaded

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

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Q: A linear programming problem requires that a linear expression, called the , be_______ _______,…

A: Given- A linear programming problem requires that a linear expression, called the , be_______…

Q: inear programming theory states that the optimal solution to any problem will lie at

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Q: The graphical method is used for linear programming problems with more than two variables. صواب İhi

A: We can solve upto three variables problem by graphical method but generally we solve two variables…

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A: Given: 1. Each baker can work maximum of 8 hours in a day. 2. Five bakers times 8 hours a day equals…

Q: Use the Graphing method and simplex method to solve the linear programming problem

A: Given,           Max: Z=x1+3x2Subject to constraint                2x1+x2≤4…

Q: 1st Tableau CIX 0048 Pla biclX 4 2Const X10215 02 12011 043 125/00180 081 15/3010 12010/01

A: The given initial simpex tableau is:   p a b c x y z constants x 0 2 1.5 1 1 0 0 48 y 0 2 1 2…

Q: Consider the following problem. Maximize z = 3x1 – 8x2 Construct the dual problem, and then find…

A: Given that, the objective function is ZMax=3x1-8x2 subject to the constraints are, x1-2x2≤10x1,x2≥0…

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A: Let, The number of cabbage planted be x1 The number of pechay planted be x2 Objective is to maximize…

Q: Define and discuss the linear programming technique?

A: Linear programming, mathematical modeling technique in which a linear function is maximized or…

Q: 3- Write a linear programming problem with empty feasible region.(explain completely)

A: Let us have the following linear programming problem. Max 3x+ysubject to:x+y≥3x+2y≤1x,y≥0 The first…

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A: Let           Max(Z)=x  Sunbject to constraints:              -x+y≤1                  x+y≤4…

Q: 2. Give the linear programming represented by the model Maximize z = 3x1 + 2x2 + X3 subject to: 4x1…

A: We have to maximize the function, I am going to solve this by simplex method.

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A: The linear programming problem is, Maximize M=x+2y  subject to , -x+y≤1006x+6y≤1200x,y≥0 Convert the…

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A: Let the size of pool, x×y=xy=1000 Let the sides of the pool be x, x, y  and also length of Infinity…

Q: Also, we must have *0. yz0. Therefore, the above problem can be formulated as follows: find x and y…

A: Given the LPP problem is, Max z=2x+125y12x+13y≤130...112x+23y≤170...2 Converting the given…

Q: To specify that x1 must be at most 75% of the blend of x1, x2, and x3, what constraint should be…

A: Given,  x1 must be at most 75% of the blend of x1, x2, and x3       To find, what constraint should…

Q: Solve the following linear programming problem. Maximize: z=15x + 7y subject to: 4x+7ys28 10x + ys…

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Q: Maximize the objective function subject to the constraints 4x + y ≤ 44, 5x + 4y ≤ 88, x ≥ 0, and y…

A: Given: 4x + y ≤ 44, 5x + 4y ≤ 88, x ≥ 0, and y ≥ 0. Z = 4x + y

Q: Introduce slack variables as necessary and then write the initial simplex tableau for the linear…

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Q: Samuel is working on a linear programming question. His goal is to sell a certain number of small…

A: We need to calculate profit p on given corner points (x,y) to find maximum profit

Q: Formulate a linear programming model for this problem. b. Solve this model by using graphical…

A: Only A & B part. X = Ounces of Oats Y = Ounces of Rice   Vitamin A   Vitamin B

Q: Consider a two-variable linear programming problem whoseCPF solutions are (0, 0), (6, 0), (6, 3),…

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Q: The function to be optimized in a linear programming application is called the __________ function.

A: The function to be optimized in a linear programming application is called the objective function.

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A: Given information:The ratio of optimal crit rate to crit damage y is found by maximising  the…

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A: The dimensions for least amount of material is let X is the base edge and height of the box is h X=…