Minimize: z = x- y subject to: 4х — Зу <0 х +у S 10 х, у 2 0
Q: 2. A boat on a lake is 3 miles from the nearest point on a straight shoreline. That point is 5 miles…
A: Consider the given information and the figure:
Q: Is the point a = [0, 1]T a local minimizer? %3D
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Q: An open top rectangular tank with a square base is to have a volume of 10 cubic feet. The bottom is…
A: To find out the dimensions of minimum cost.
Q: 2. Find two positive numbers whose product is 750 and for which the sum of one and 10 times the…
A: Product of two positive number is 750. The sum of one and 10 times of another is minimum.
Q: Solve using simplex. Minimize: w = y1 + y2 + 4y3 Subject to: Y1 + 2y2 + 3y3 > 115 2y1 + y2 + 8y3 200…
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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: Find the minimum value of f(x, y, z) = 2x2 + y2 + 3z2 subject to the constraint 2x − 3y − 4z = 49.
A: Given: Function=f(x,y,z)= 2x2+y2+3z2 Constraint: 2x-3y-4z=49
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Q: solve using simplex method minimize C =6x+16y subject to: x+y=400 x≤150 y≥200
A: Given, Min C = 6x+16y x+y=400 x≤150 y≥200 x, y≥0 The problem is…
Q: a. Solve max f(x, y,z) = 3x² + y problem by means of Lagrange multipliers under the constraints of…
A:
Q: The points P= (x, x, x) and Q (y,3y.y-1) are lines in R' that do not meet. Choose x, y to %3D…
A: Given that P=x,x,x and Q=y,3y,y-1 Then P-Q=x,x,x-y,3y,y-1⇒P-Q=x-y,x-3y,x-y+1 then, we solving…
Q: q4
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Q: Minimize : 4yi+3y2+y3 3y1 +y2 + 2y3 > 30 4y1 +3y2 < 25 2yı +3y2+y3 2 45
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Q: Find the values of x, y, z that minimize 3x² + 2y² + z² + 4x + y + 3z, subject to the constraint 4 -…
A: Let fx,y,z=3x2+2y2+z2+4x+y+3z and gx,y,z=4−x−y−z≡0Apply Lagrange Multiplier method to find…
Q: Find two nonnegative numbers x and y with 2x + y = 3 for which the term xy² is maximized. by
A: Given 2x+y=30, we need to maximize xy2
Q: 6. Find the extreme valucs of f(r,y) = ry subject to the constraint 4x2 + y? = 8 by using the method…
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Q: The production function for a firm is p(x, y) = 72x"y"", where x and y are the number of units of…
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Q: b. Solve min x, -x, - 2x, problem by means of Lagrange multipliers under the constraints of x, +x,…
A: Part b:
Q: ) Amran is constructing a rectangular box with a square base and an open top. The box must have a…
A: Let the side of the box be x cm and the height of the box is h cm Therefore, the volume of the box…
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Q: b. Solve min x, -x, – 2x, problem by means of Lagrange multipliers under the constraints of x, +x,…
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Q: linearize the nonlinear equation in the region defined by 4 < x < 5, 3 < y < 4 z = y?Vx + 5e(3x-y²)
A: Given, z=y2x+5e3x-y2 The goal is to linearize the given equation around the operating point,…
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: Draw the region in the xy plane where x+2y = 6 and x 2 0 and y 2 0. Which point in this "feasible…
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Q: Maximize f (x, y) = x + y subject to g (x, y) = x² + y = 4
A: Given function fx,y=x+y......(1) gx,y=x2+y2=4......(2) Applying the Lagrange multiplier, note that…
Q: I want to solve this questionQ) Use Lagrange multiplier to find the largest product of three…
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Q: Obtain the general solution using separation of variables
A: Given: dx=t1+t2sec2xdt To Find: General solution using sepration of variables Concept: (a).…
Q: . Find the minimum value of C = 3x + 5y subject to %3D 4x +3y > 240 4x + y > 120 y > 0
A: 4x+3y≥240 divide both sides by 240 4x240+3y240≥240240 x60+y80≥1 compare this equation with the…
Q: A farmer wishers to fence off three identical adjoining rectangular pens, each with 300 square feet…
A: Given, Cost of the fence of outer boundary of the pens = $3 per foot Cost of the fence of two…
Q: Minimize ?=2x+3y subject to: 4x+y≥7 x+y≥4 2x+5y≥14 x, y≥0 Corner points at…
A: The Graph is as shown below:
Q: Of all points (x,y,z) that satisfy x+y+4z=24, find one that maximizes (x-1)2 +(y-1)2+(z-1)2
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Q: Use Lagrange multiplier to solve. Max U = x+y+z subject to xyz = 8
A: max U=x+y+z subject to xyz=8
Q: Minimize f(x, y) = x2 +y? subject to yx? = 8. Specify both the optimal solution
A: Given information: The objective function is f(x, y) = x2 + (y2/2). The subject to the constraint is…
Q: Please solve and explain q#4.
A: Let x be the height , y and z be the dimensions of base of rectangular box, then volume is…
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: 5. Use the method of Lagrange multipliers to minimize f (x, y) = x2 + y? subject to 2x + 8y 102.…
A: The given question is related with Lagrange multipliers . We have to minimize fx , y = x2 + y2…
Q: In order to treat a certain bacterial infection, a combination of two drugs is being tested. Studies…
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Q: Minimize f(x,y,z)=xyz subject to constraints x^2+y^2=0 and x_z=0, by using the method of Lagrange…
A: To minimize the function fx,y,z=xyzsubject to x2+y2=0 .........(1)x-z=0 ................(2)Let…
Q: Find x = that minimizes q(x) = x² – xy + y² subject to %3D the condition ||x|| = 1 , %3D
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Q: A company manufactures two types of athletic shoes: jogging shoes and cross-trainers. The total…
A: Rx(x,y)= -10x-2y+42 Ry(x,y) = -16y-2x+102
Q: Solve: sec x = V2 + 2πkk e Z U + 2π시k E Z 3. + 2πkke z 2Tk k EZ 4. 4 + 2rk|k € Z 3 + 2rk|k E Z 3. of…
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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: minimize subject to (xyz)-¹ x + 2y + 2z ≤ 72 x, y, z 20
A: Since you have posted multiple questions, we will solve only the first question for you.
Q: a. Solve max f(x, y, z) = 3x² + y problem by means of Lagrange multipliers under the constraints of…
A: Since you have asked multiple question, we will solve first question for you. If you want other…
Q: The amount of space required by a particular firm is f(x, y) = 1000(6x2 + y2)^1/2, where x and y…
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Q: Minimize f(x, y) = x² + y? subject to yx? = 8. Specify both the optimal solution
A: Given information: The objective function is f(x, y) = x2 + (y2/2). The subject to the constraint is…
Q: The maximum value of f(x,y) = x +y subject to xy = 16 (using method of Lagrange multipliers) is 16
A: Given function is f(x,y)=x+y Constraint: xy=16
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- A garden has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing only on three sides. Find the length and width of the plot that will maximize the area.Find the point on the planez = x + y + 1closest to the point P = (1, 0, 0). Hint: Minimize the square of thedistance.Use the Disk Method Y= x^(3/2) , Y = (3/2)x , revolved around X = 5
- Find the area of the triangle bounded by the lines y=x+3, y=2x-1 and y=-3x+4Find the maximum value that ƒ(x, y, z) = x2 + 2y - z2 can have on the line of intersection of the planes 2x - y = 0 and y + z = 0.Minimize f(x,y,z)=xyz subject to constraints x^2+y^2=0 and x_z=0, by using the method of Lagrange Multipliers ?
- The area bounded by the curve y=4x y=4x and the lines x=6x=6 ,x=10x=10 and x−axisx−axis is: Choose correct answer : A) 144 square units B) 128 square units C) 272 square units D) 3600 square unitsFind the line of intersection of the given planes. 4x + y + z = 0 and 2x -y + 3z = 2Determine the intersection of 3x – 4y – 5z = 0 with [x, y, z] = [3, 1, 1] + t [2, -1, 2].