Determine the maximum and minimum values ​​of the objective function F(x,y) -2x +5y from the shaded area in the figure above!

Q: You are given a feasible region. Find the maximum and minimum (if they exist) for the given…

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Q: optimal solution point:

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Q: Using Lagrange multipliers, find three positive numbers whose sum is 24 and such that the sum of…

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Q: What are some quantities that are good to maximize? (Select all that apply.) V profit cost O height…

A: Solution

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Q: Solve using artificial variables. Maximize z = 3x, + 2x2 subject to: X, + X, = 60 4x1 +2x, 2 140 5x,…

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Q: 1/2 Find the minimum value of the function f(x)=x

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Q: What is the minimum point of the curve y = x2 – 6x + 4

A: The given function is: y=x2-6x+4   First, we have to find the critical points by solving dydx=0.

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Q: Applying Lagrange Multiplier, what is the minimum value of f(x, y) = x² + y2 where x > 0 and y> 0…

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Q: container with an open top is to have 10 m3 capacity and be made of thin sheet metal.  Calculate the…

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Q: (b) your work.) Determine the interval of absolute stability for this method. (Please show

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Q: Solve using artificial variables. Maximize z = 3x, +2x2 X, + X2 = 70 4x, +2x2 2 140 5x, + 2x, s 250…

A: Graphical method

Q: Determine the maximum or minimum value for y = −2(x − 7)(x − 5) and state the value of x for which…

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Q: 2. f(x) = 3x5 – 20x3

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Q: Find the minimum and maximum of f(x, y, z) = y + 2z subject to two constraints, 2x + z = 3 and x + y…

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Q: What is the absolute minimum value of p(x)=2x2-x-2 over [−2,6]?

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Q: The function f(x.y.z) = 5x has an absolute maximum value and absolute minimum value subject to the…

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Q: rectangular field is to have an area of This is to be enclosed and divided into three equal lots…

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Q: Using Lagrange multipliers, find three positive numbers whose sum is 9 and such that the sum of…

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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: Of all numbers that add to 82, find the pair that has the maximum product. That is, maximize the…

A: We use second derivative test to find out where product is maximum

Q: Using Lagrange multipliers, find three positive numbers whose sum is 15 and such that the sum of…

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Q: Use Lagrange multipliers to solve the given optimization problem.   Find the minimum value of f (…

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Q: Use Lagrange multipliers to solve the given optimization problem. Find the minimum value of f(x, y)…

A: Rewrite the problem with the constraint in the form gx,y=0. Minimize fx,y=x2+y2 subject to xy2=16.…

Q: Suppose f'(x) = p(x) where p(x) is a quadratic polynomial and q(x) is a linear function. What are…

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Q: Find the maximum profit and number of units that must be produced and sold (in that order) in order…

A: Profit P(x) =R(x) -C(x).

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Q: A rectangle is constructed with its base on the diameter of a semicircle with radius 18 and with its…

A: Given:the radius of semi-circle is 18.

Q: You have a rectangular piece of cardboard that is 16 inches by 10 inches. You are going to cut…

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Q: se Lagrange multipliers to find the point on the line Y2x+3hat is dosest to the point (4. 2

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Q: Use the inequalities from Exercise 2 and adding the maximization function Z = 120 x1 + 160x2 solve…

A: Given that the maximization function is Z=120x1+160x2 Subject to 2x1≤103x2≤11x1+x2≤5 And x1,x2≥0…

Q: Find the minimum and maximum of f(x, y, z) = y + 5z subject to two constraints, 2x + z = 4 and x² +…

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Q: Find the dimensions of a cylinder of volume 15 m³ of minimal cost if the top and bottom are made of…

A: let radius is  r height = h cost of material per m^2 for the side is c and for top and bottom the…

Q: Find the minimum and maximum values of the function f(x, y, z) = x' - y – z8 subject to the…

A: The given problem is solved below in detail.

Q: Solve the given optimization problem by using substitution. Find the minimum value of f(x, y, z) =…

A: first we will substitute the value of the constraint into the function and reduce the number of…

Q: Show detailed solution. x² +x-12 Minimum point of y = x² -4

A: Given: y=x2+x-12x2-4

Q: x2 + x – 12 minimum point of y = x2 – 4

A: The minimum point of the function y=x2+x-12x2-4 is the function value which is the least among all…