Minimize Subjec to Xx -3 Xq +4 Xz-5 X,- 2X2 <3 2Xx -Xx Z4, XxZ0 and Xg is unnaitaeted

Q: -Salve. Linear.- Program by.using graiphic metheed miax-Z=4X+3X7 Sat. 6x,+4Xq€48. 4%2 8X2 8a X、ッ父セ2。

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Q: Find a pair of non-negative numbers that have a product of 162 and minimize the sum of two times the…

A: Our Aim is to find a pair of non-negative numbers that have a productof 162 and minimizes the sum of…

Q: What is the optimal value of the OF for min Z = 4X1 + 3X2, subject to X1 +2 X2 >= 6?

A: Given problem : Min Z =   4 x1 + 3 x2 subject to     x1 + 2 x2 ≥ 6 and…

Q: By the uniqueness of the critical number, the min value of y occurs at xercise Find the absolute…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: minimize Z - 3x, + 6x2 pubject to 3x, + 2r, s 18 X + x2 2 5 XI 54 x2/x, s 7/8 X1. X2 2 0

A: The step-wise graph is drawn and shown below follow these to reach the answer.

Q: Use simplex method to maximize the function max N= 4Ri+ SR2 Subjected to 3Rr+ 2R: =10 Ri+ R259 RIS8

A: Using the simplex method

Q: temil tstul 13)Find all critical points of fCx)=x+ x +2 (5)) (5x)

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Q: B. Find the extreme values on the given closed interva 1. f(x) = 4x - 3; [1,5] 2. f(x) = x + 8;…

A: follow next step

Q: The boundedness of solutions of Eq.(1) has been examined as follows. (a+). Theorem 3. Every solution…

A: Given: xn+1=αxn-2+βxn-1xn-2γxn-1+δxn-4,n=0,1,... To prove: Every solution of the given equation is…

Q: minimize Z = 8x +212 subject to 2r, - 6x, s 12 5x, + 4x2 40 X1 + 2r, 12 X2 S 6 X1, X2 20

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Q: find the critical number: F(x) = x^4/5 * (x-4)^2

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Q: Minimize Z= 8x, + 6x, Subject to: 3x, + 4x, 2 6 5x, + 2x, < 10 x, + 4x, 5 4 x, y 2 0

A: We will find out the required solution.

Q: How do I find Sec(2) with minimal calculator use?

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Q: Write down (without solving) the dual LP problem. Minimize c =s+6t+u 9s -t+v23,000 u- v 21,000…

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Q: A wire of length 34 m is divided into two pieces and each piece is bent into a square. How should…

A: Let the sides of the two squares be x and y.  The area of a square is given by Area=(side)2 Thus,…

Q: Find the critical numbers for h(x)=x^2-x^4. Show all work.

A: The objective of the question is determine all the critical point of the given function.

Q: 6) Use Lagrange multiplier method to find the extrema of f(x1, Xz. -. , In) = x, + x2 + +x, subject…

A: Given, f(x1,x2,....xn)=x1+x2+x3+.....xn,  constraint x12+x22+x32+....+xn2=1 now equation we need to…

Q: Find the three areas of the region bounded by y= 2x²+10 , y=4x+1 and the lines x=-2 and x=5.

A: We need to find the area between two curves. The area between two curves y=fx, y=gx for x∈a,b is…

Q: Use the duality method to solve each linear programmin 1. Minimize Z = 29x,+ 10x2 subject to: 3x,+…

A: Given that  Minimum z=29x1+10x2subject to 3x1+2x2≥2                   5x1+x2≥3…

Q: ve test to identify any critical points a these. -2 – 6y² + 12x - 36y – 87

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The critical points…

Q: Suppose we have 3 motors that need to be operated for (x) number of hours the present worth is…

A: Point of intersection of two straight line is the point at which the , and coordinate of both the…

Q: Maximize Z = 10x1 + 20x2; Subject to -x1 + 2x2 ≤ 15 x1 + x2 ≤ 12 5x1 + 3x2 ≤ 45 and x1 ≥0, x2 ≥ 0

A: Given -  Maximize Z = 10x1 + 20x2Subject to :-x1 + 2x2 ≤ 15x1 + x2 ≤ 125x1 + 3x2 ≤ 45x1, x2 ≥ 0 To…

Q: How do you find the critical point of 1/x+3

A: To find the critical points (if they exist) for the given function

Q: Determine the critical points off (x) = x* – 2x³. -

A: Solution: Option A) The critical points are x = 0 and x = 3/2 F(x) = x4-2x3 At critical points of a…

Q: 1. f(x) = x² – 4x + 1 at point (0,1) 2. f(x) = x³ + 2 at point (1,3) 3. f(x) = 2x* + 3x³ – 2x + 7 at…

A: Given : The functions and the points.

Q: Find the critical numbers of f(x)=3x3+9x−4 and classify all local extreme values.

A: A number x=a in the domain of f is called critical number of f(x) if either f'(a)=0 or f'(x) is not…

Q: Consider the following quadratic function: f(θ) = 1/2∑ni=1 wi(θ−xi)2, where x1,...,xn are points in…

A: Given that the function is fθ=12∑i=1nwiθ-xi2 .It is required to find the value of θ minimizes fθ. To…

Q: 17. Find two positive integers such that their sum is 10 and maximize and minimize the sum of their…

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Q: Find all critical numbers of f (x) =4x³+3x²– 18x – 2 @ -- (A B -1 D) 1

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Q: The sum of all the critical numbers of the function f(x) = x4 - 10x2 is what

A: Given function is fx=x4-10x2 To find the critical points we differentiate the given function with…

Q: 1. Find the critical points forf (x) = x + %3D

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Use the Lagrange multiplier method to solve Minimize z = x} + x + x Subject to x, + 2x, + 3x3 = 7…

A: We have to solve the following problem using the Lagrange multiplier, Min z=x12+x22+x32 Subject to :…

Q: Consider the function 4/5x5+1/2x4-4x3. Select all of the critical points.

A: Here f(x)=45x5+12x4-4x3we have to find the critical points of f(x)First we find the…

Q: Minimize Bubject tos * +2x2+3x3-12 0 X2+ 2xg +3x4-4 0 by direct substitution method.

A: Given, fx=x1-x22+x2-x32+x3-x44---1 subject to the constraints x1+2x2+3x3-12=0…

Q: the number and its reciprocal.

A: Given: The smallest sum of a number n and its reciprocal 1n is 2 which occurs when n=1. Any other…

Q: Find all critical numbers of f(x) = 4x3- 3x2– 18x + 2 O -- (A) (B) 3 - 2. (D) O 1.

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Q: Find the DOMAIN of 8z-24r-320x f (x) = 7z+28z2-315z Section 3.4 O + -5, 9 O+0,-5, 8 Ox+0,-5, 9 O…

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Q: Minimize z = x, + 2x2 Subject to 2x, + 4x, s 160 X1 – Xz = 30 X12 10 X1, X2 2 0

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Q: Find the multiple solutions. Maximize  z = 45x1 + 30x2,  subject to 2x1  +  9x2  ≤  144 2x1  +…

A: z=45x1 +30x2subject to 2x1 +9x2 ≤1442x1 +3x2 ≤603x1 +2x2 ≤75x1 ≥0 , x2 ≥0  To find : Maximum value…

Q: Minimize Z=8x+12y subject to 4x+6y214, 4x+5y9, x>0, y20 M=?

A: Given LPP is Minimize  Z = 8x + 12y Subject to  4x + 6y ≥ 14, 4x + 5y ≥ 9, x ≥ 0, y ≥ 0

Q: Maximize P = xyz with x +y = 12 and z+y = 12, and x¸ y, and z >0.

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Q: To calculate: The maximum profit that used book supply program can make where not more than 650…

A: To find - The maximum profit that used book supply program can make where not more than 650 books…

Q: 2. Minimize z - 6х, + 6х, + 8x, + 9х, subject to X, + 2xz + x3 + x4 2 3 2x, + x3 + 4x3 + 9x4 2 8 X,…

A: Given-  Minimize Z = 6x1 + 6x2 + 8x3 + 9x4subject tox1 + 2x2 + x3 + x4 ≥ 32x1 + x2 + 4x3 + 9x4 ≥ 8x1…

Q: Express In(y-C1 ) =C2 +Inx Use Least Square Method. having these points. (2,5),(3,1),(5,2),(6,0)…

A: Given the data as (2,5),(3,1),(5,2),(6,0) and (7,1).    lny-C1=C2+lnx

Q: Maximize f(x,,x,)= 24x, – x' +10x, – x %3D subject to *; 58 X, 54 x, 2 0, x, 20 and

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Q: Find all the critical points of f(x) = 4x³ – 3x. %3D V3 z = V3 x = 0

A: The given function f(x)=4x3-3x

Q: Suppose there are four cities at locations x1 = 2; x2 = 5; x3 = 9, and x4 = 11, requiring…

A: Suppose there are four cities at locations x1 = 2; x2 = 5; x3 = 9, and x4 = 11, requiring…

Q: A river flows between the lines x = 3 and x = 4. Where should a bridgebe constructed to minimize the…

A: A river flows between the line x=3 and x=4. Bridge constructed to the path from O(0,0) to P(5,4).

Q: Find the cxhreme Point and extreme direcbion region of the て-う + X2u5 2 (メメ): - 3X、 → X2c-2 -Xit…

A: We are given the following system of 2d Linear equations : -3x1 + x2 ≤ -2 -x1 + x2 ≤ 2 -x1 + 2x2 ≤ 8…

Q: Consider two nonnegative numbers x and y such that x+y=10. Maximize and minimize

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