Maximize f = 8x + 6y, subject to the following. 7x + 3y  ≤  105 2x + 5y ≤ 59 x + 7y ≤ 70 f=?   Minimize g = x + 9y, subject to the following. 8x  +  y  ≥  85 x  +  y ≥ 50 x  +  4y ≥ 80 x  +  10y ≥ 104 g=?

Q: Maximize f=34x1+29x2+32x3 subject to 8x1+2x2+x3 <= 54, 3x1+8x2+2x3 <= 59, x1+x2+5x3 <= 39

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Q: The number of salmon swimming upstream to spawn is approximated by the following function, where x…

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Q: Maximize f = 7x1 + 10x2 subject to 4x1 + 5x2 ≤ 35 4x1 + 2x2 ≤ 10 3x1 + 5x2 < 40 x1 ≥ 0, x₂ ≥ 0 If no…

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Q: Consider the function f(x) = x* – 4x³ + 4x? + 4

A: To investigate whether the optimal points are global or not.

Q: can there be a maximum for Q = x2 + y2 if x + y = 6? Justify your answer.

A: To check: Whether Q have maximum value or not. Given: The functions are Q=x2+y2, if x+y=6. Concept…

Q: 6. Which of these quadratic functions has a maximum value? * y = 3x2 – 3x+5 y= (3-x)2 Option 1…

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Q: Given f(x) = 3x²– 12 and g(x) = 2x + 1. Find g(f(x)).

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Q: Maximize P = 10x1+ 2x2 subject to X1+ x2 0

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Q: Maximize P = x1 + 2x2 + x3, Subject to: 3x1 + x2 + x3 <4 x1 + x2 + 2x3 < 4 æ1, X2, x3 and give the…

A: It is given that, Max P=x1+2x2+x3 Subject to the constraints, 3x1+x2+x3≤4x1+x2+2x3≤4and x1,x2,x3≥0…

Q: 8. The Wisely Company earns a weekly profit according to the function f (x)=-1.2x² +180x-280, where…

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Q: A manufacturer produces 5G smart phones and wants to track worker efficiency. Suppose worker…

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Q: Maximize: F = 39x+17y Subject to: x+2y<8 x+y<6 x+4y<14 x, y 2 0

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Q: Maximize p = 8x + 6y subject to x + y ≤ 25 x     ≥ 10 −x + 2y ≥ 0 x ≥ 0, y ≥ 0.

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Q: What is the VA of x2+2+1/2x2-x-3

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Q: For f(x)=12x¹0 −44x² −8x³ + 2x² - 6x³ +72x² -24x+8, compute f(2), roots of f(x) and plot for 0≤x≤ 30

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Q: Demonstrate that the equation - 5x + |– 9y| = 10 does not represent a function by picking an input…

A: To  choose an input value x such that the given equation gives two output values y .

Q: Q2. Maximise f = 34x, +29.x, +32.x, subjected to: 8x, +2.x, + x, < 54 3x, +8x, +2x, <59 * +x, +5x, <…

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Q: For the function defined by the equation y=2x-10, which of the following represents the output when…

A: Function defined by equation y = 2x2 -10, To determine the output when input is -3 To choose the…

Q: Maximize p=9x1+2x2-x3 Subject to x1+x2-x30

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Q: What is the range of the function y=3x+1y=3x+1 for the domain 2≤x≤6?

A: Given functiony=3x+1We have to find range of the for the domain 2≤x≤6

Q: The function f(x)= 2x² + bx+c has a minimum value of 4 and an axis of symmetry x= V3. Determine the…

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Q: Maximize f = 5¤1 + 7x2 + 11a3 subject to 10r1 + 8x2 + 11a3 0

A: Consider the provided LPP problem, maximize  f=5x1+7x2+11x3Subjected…

Q: maximise 2.01 + *2 subject to T1 – X2 < 1, 2x1- x2 1, 2x1 + 2x2 2 4, X1, X2 20

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Q: estion x² +1 if x-1 If f(x)= what is f(-2)? A) 4 B) -5 C) -7 D) 5

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Q: Suppose that the total profit function for a company is given by P(x) = 4x³ - 210x² + 3600x - 200,…

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Q: Suppose that f(x1, X2, X3) = 4x + 3x1 x3 + 4x – 3x2x3 %3D - a. What is Vf? b. What is H?

A: The gradient, ∇f for a function, f(x1,x2,x3) is defined as ∇f=∂f∂x1i^+∂f∂x2j^+∂f∂x3k^ . The Hessian,…

Q: _6. If f(x) = 18x² and t(x) = 8x, find_£(x). t %3D а. 9х 4 b. 4x 9 c. 4_ 9x d. 9 4x _7. When f(x) =…

A: Topic :- Functions

Q: Maximise P = – 2x2 – 5y2 + 96x + 80y + 610 Subject to 10x + 20y ≤ 500 x, y ≥ 0

A: See the attached file for a step by step explanation to find the maximization of P.

Q: Q2: Solve the following FLPP by Approximation of Fractional objective * ? function 3x; +3x, +2x, +1…

A: Given FLPP is Max Z=3x1+3x2+2x3+12x1+x2+x3+1s.t.2x1+5x2+x3≤2x1+2x2+3x3≤3x1,x2,x3≥0 Now adding slack…

Q: Find the largest value of the function f(x) = x³ — 4x² – 10x + 5 - - on the domain -6≤ x ≤ 6.

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Q: Maximize: Z = 5x + 2y with 3x + 2y 15 4x + y ≤ 12 x ≥ 0 and y ≥ 3 Max value, Z=

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Q: miximize   F=48x+22y subject to  x+2y≤8 x+y≤6 x+4y≤14 x, y ≥0

A: We first draw the inequalities using a graphing calculator.

Q: According to data, the accident rate as a function of the age of the driver in years x can be…

A: fx=46.5-2.26x+0.0298x2

Q: Show that |x + y|≥||x|−|y||, solution without using piecewise function

A: Just I have used the triangle inequality of absolute function and easily prove that the given…