Consider the problem Maximize Ζ = 2x1 + 3x2 + 4x3 Subject to  2x1 + 3x2 + 5x3 ≥ 2                   3x1 + x2 + 7x3 ≤ 3                   x1 + 4x2 + 6x3 ≤ 5 Where             x1 , x2 ≥ 0 , x3 unrestricted What is the dual of the above problem? Find the solution of the primal problem by solving its dual.

Q: Show that the equation x+y* : integer. 100 has no solution when each of x and y is a positive

A: To show x4+y4= 100 has no solution when each of x and y is a positive integer.

Q: Find solution using LINGO Maximize Z = 6x1 - 4x2 subject to 2 x1+ 4 x2 = 16 and x1, x2 >= 0

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Q: Considers And find solutions Maximize 3x1 + x2 Subject to x1+x2 <4 3x1 x2 ≥2 x1, x2 ≥0

A: To solve this linear programming problem, we can use graphical or algebraic methods. Here, let's use…

Q: 8) Multiply: (2a-3)(5a + 1) a. 10a²-3 d. 10a²13a-3 b. 7a²-2 e. 10a²-6a-3 c. 7a²-5a-2

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Q: is a solution of 2x-6x2+7x-33D0. 2 Prove that x 1-

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Q: 3 4 Find /(-12²¹ - ³ - -/-/- 2 √²) dax S 1x³ X x6 + C

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Q: Solve the problem by graphic method Min z = 4X1 + 2X2 Subject to 3X1 + 5X2 ≥ 15 6X1 + 4X2 ≤ 24 X1 ≥…

A: Given : Minimize z=4x1+2x2 Subject to: 3x1+5x2≥156x1+4x2≤24x1≥2x1,x2≥0 First plot the lines…

Q: B. Convert primal problem to dual problem: Minimize Z = 4x₁ + 2x₂-x3 Subject to: x₁ + x₂ + 2x32 3…

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Q: Find the values that make the equations x1 + x2 + 3x3 = 3 x1 + 2x2 + 4x3 = 3 x1 + 3x2 + ax3 = b…

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Q: A company manufactures two products: Product A and Product B. Product A is produced at quantity q1…

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Q: True or false: –3 is a solution of V5x + 16 = x + 2.

A: If the given statement is true or false.

Q: he following situation can be modeled by a linear function. Write an equation for the linear…

A: We will construct a linear equation that represents given situation.

Q: Solve: 8x-4y=-4 4y=3x+14 Student Work: 8x-4y=-4 4y 3x+14+(-3x+4y=D14) 5x 10 5 5 x=2 &r-4y=-4 -3x-3x…

A: 8x-4y=-44y=3x+14

Q: fe)=4x- 5 and g(x) +3x- 1, then find fg(x) Ax + 12x - 9 + 4x +5 Ax + 7x2– 19x + 5 Y +7x 6 16a2 28x…

A: Topic - functions

Q: Show that the equation 3x+4y+5z=a, 4x+5y+6z=b and 5x+6y+7z=0 do not have a solution unless a+c=2b

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Q: Find the value of each of a,b,c so that 6x3 − 7x2 − x + 2 = (x − 1)(ax2 + bx + c)

A: Given equation is : 6x3-7x2-x+2=x-1ax2+bx+c To find the value a, b, and c

Q: If p = 4x³ + x² + 2x + 5 and          q = 6x³ + 3x² + x + 2  Find ||p||  and ||q||

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Q: solve for x (x-4)2 =2x2-9x-14 If there is more than one answer, septerate with commons

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Q: Solve the following LP using Simplex Method. Max z = 1500x1 + 2000x2 + 2400x3 Subject to 3x1 + x2 +…

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Q: 3. Consider the following game: Two fair, six-sided dice is rolled. If the numbers rolled do not…

A: Given that, two fair, six-sided dice are rolled. If the numbers rolled do not match, you lose one…

Q: To find the number of shoes, a company should manufacture per day to optimally use their machine and…

A: Consider the system of equations  a1x+b1y+c1z=d1a2x+b2y+c2z=d2a3x+b3y+c3z=d3 To solve the system of…

Q: Prove that 2 x-2x+5 2 x-4x+4 < 0 has no real solutions.

A: NOTE: Refresh your page if you can't see any equations..The value of f(x) is zero if the value of…

Q: Maximize z = 2x1 + 7x2 + x3 , subject to 2x1 + 7x2 + x3 ≤ 103 4x1 + x2 + 11x3 ≤ 239 with x1 ≥ 0, x2…

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Q: of non-negative integer solutions to the  equation x1 + x2 + x3 + x4

A: Introduction: An integer that is neither positive nor negative is referred to as a non-negative…

Q: maximize 2x₁ + ₂-3 subject to 4r₁ + x₂ + 3x3 ≤ 1, -21₂ +13 ≤ 11, 4x2+2x3 = -7, ₁ unrestricted, X₂ ≤…

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