Consider the following initial tableau obtained when solving a maximization problem: 1 19100 87 1 190101 -1-8 300 10 Use the simplex method until you find the final tableau.

Q: . Solve the following L. P. P. by Simplex method : Maximize : z = 4x1 + 10x2 Subject to : 2.x + x2 s…

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Q: Graphically, solve the following problem using Branch and Bound Use x1 for branching. Problem Max…

A: Let us solve the given LPP by Branch and Bound method in the next steps.

Q: A biologist has 600 kg of nutrient A, 800 kg of nutrient B, and 300 kg of nutrient C. These…

A: Given that,   P Q R S A 0 0 37.5 87.5 B 0 50 25 12.5 C 100 50 37.5 0 Growth Value 120 110…

Q: Solve the following initial-value problem. f′(x)=2 3√x+3x^2, f(0)=6

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Q: Solve the following initial value problem. u"(x) = 32 e * - 36 e-3* , u(0) = 3, u'(0) = 2

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Q: Solve the following initial value problem 2a - 22 +4- t2 -a1 + 2x2 + 1 with a(0) 1 and a2(0) = 0.

A: Write the given system of equations in matrix form X't=AtXt+ft, to determine the matrices At and ft.…

Q: Solve the following initial value problem. y '(x) = -y + 2, y(0) = -2

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

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Q: Question 3. Consider the following linear program: maximize: 4r + 2x2 +3r3 s.t. r1- 2r2 + 3r3 0…

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Q: Complete the firs iteration of the Simplex table for the following Maximization problem. Note: If…

A: We have to complete the first iteration of the above simplex table.

Q: Solve the following initial value problem: y" – 6y' + 13y = 0, y(2) =4 y'(1) = 9 %3D -

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Q: subject

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Q: Solve the following initial value problem [12] y' 3 1y, y(0) %3D У, 16 -

A: To solve the given initial value problem, first we find the eigenvalues and the corresponding…

Q: Question 3. Consider the following linear program: maximize: 4 + 2x2 + 3x3 s.t. r1-2r2 + 3r3 0…

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Q: Q2. Complete the following iteration tableau of Maximization problem of LPP and comment on the…

A: zj can be found using a formula or method as follows…

Q: Solve the initial value problem. x2у" - 4хy' - бу%3D 0, у(1) %3D з, у'(1) %3D 4

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Q: Solve the following initial value problem. u"(x) = 16 e ** - 48 e-4%, u(0) = 5, u'(0) = 2 u=

A: Given data, u''(x) = 16 e4x - 48 e-4x  u(0) = 5 u'(0) = 2 u(x) = ?

Q: Cecilia is having troubles understanding her economics classes, and so she hires a PhD students Dino…

A: Given: Cecilia is having troubles understanding her economics classes, and so she hires a PhD…

Q: Given is the following LP-problem. max Z = 7x1 + 5x2 + 6x3 + 8x4 + 2x5 4.x1 + 121 + 3x2 + 4.r3 + 5x4…

A: We solve the lpp by simplex method. And then find the dual problem of the given primal problem. To…

Q: Solve the following initial value problem. f′′(x)=−36x^2−18x−4,f′(−1)=13,f(−1)=−35

A: To solve the initial value problem.

Q: Consider the LP model below: Max z = x1 + X2 S.t. 4x, + х, < 100 X1 + x2 < 80 X1 < 40 X1, X2 2 0…

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Q: Solve the following initial value problem: 4x +3 xy' = y(1) = 3. %3D

A: The given equation is: xy'=4x+3y3⇒xdydx=4x+3y3⇒y3dy=4x+3xdx⇒y3dy=4+3xdx⇒∫y3dy=∫4+3xdx+C⇒y44=4x+3ln…

Q: Q3. Complete the following iteration tableau of Maximization problem of LPP and comment on the…

A: Cj 2 1 0 0 0 Solution Cbi Basic  Variable x1 x2 s1 s2 s3   2 x1 1 0 -1 0 0 30 1 x2 0 1 -2…

Q: Solve the following initial value problem. - 5 y'(x) = 15x* - 4x, y(1) = 0 y(x) = O

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Q: Solve the following initial value problem. y"-2y' + 2y = 7x+1; y(0)=3, y'(0) = 0

A: The given initial value problem,y''-2y'+2y=7x+1; y0=3, y'0=0

Q: Solve the following maximization problem graphically. P(x, y) = 29x – 27y – 11 Subject to: x + y -2…

A: Let us first plot the given inequalities. We then get the corner points as the following. (1.667,…

Q: Solve the following maximisation problem by applying the Kuhn-Tucker theorem: Махху -4х2-2ху 4у? x +…

A: Given maximize problem is max fx,y=-4x2-2xy-4y2subject tox+2y≤22x-y≤-1x,y≥0 For the  KKT condition…

Q: Consider the following minimization problem: Min z =     x1 + 2x2 s.t.             x1 + x2 ≥ 300…

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Q: (b) Max Z = 5x + 2y s.t 3x + 2y < 12 x + 2y < 6 -x + y< 1 х, у 2 0. (i) using the simplex method to…

A: We need to solve the given linear programing problem (LPP) using the simplex method. given problem…

Q: Solve the initial-value problem. 2xy' + у %3D бх, х> 0, у(4) %3D 20

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Q: Solve the following maximization problem graphically. P(x, y) =14x+7y+9; subject to: x+y22 2x+y<10…

A: It is given that, P(x,y)=14x+7y+9 and constraints are, x+y≥2,2x+y≤10,x+y≤8,andx≥1, y≥0 Remember that…

Q: x+3y<= 9

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Q: Solve the following initial value problem. f′′(x)=36x^2+30x+8, f′(−2)=−42, f(−2)=−15

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Q: Determine the solution of the initial value problem 1. у" + 4y' + 5у%3D 35е4*, У (0) %3D — 3, у'(0)…

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Q: Solve the following initial value problem y' = x°e-2y, y(1) = 0 y' = x°e-2Y,

A: Initial value problem

Q: Solve the following initial value problem: =-2y+ 6 y (0) = 7 %3D

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Q: Consider the simplex tableau given below. X1 X2 X3 S1 S2 S3 1 2 22 1 - 5 27 - 4 2 4 1 19 P.

A: The basic variables gives the identity matrix Therefore the basic variables are as follows

Q: Solve the following LP problems using the simplex method Question 1 max Z= 3x,+ 2x,+ x3 s/t 2x,+…

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Q: Suppose a renewable population grows logistically according to N =  778/ 1 + 5e−0.07t. According to…

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Q: c) (i) Use x. and x.as the initial basic variables and apply simplex method to solve: Maximize: z =…

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Q: Find the maximum of the objective function C = 4x + 10y subject to the feasibility region below. 12…

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Q: Solve the following initial value problem. У () - Зу%3D 12, У(0) 3D0

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Q: Solve the following maximization problem graphically. P(x, y) =16x+16y+16; subject to: [2x+2y 212…

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Q: 4. Salary (pesos) f 1001-2000 7 2001-3000 12 3001-4000 10 4001-5000 5001-6000 Compute the following:…

A: A measure of central tendency is a single value that attempts to describe a set of data by…

Q: Based on the following simplex tableau, what is the dparting variable for the next iteration? x1 x2…

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Q: Find the maximum of the objective function C = 7x + 8y subject to the feasibility region below. 12…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.