Maximize Z= 40x1 + 50x2 10x1+ x2>=100 5x1 + 15x2>=500 х1, х2>-0

Q: Use lagrange multipliers to find three positive numbers whose sum is 51 and the sum of whose squares…

A: Given that, the sum of the positive number is 51. That is, Fx,y,z=x2+y2+z2 and gx,y,z=x+y+z=51.…

Q: Find two positive integers whose sum is 16 and the sum of whose squares is minimum

A: Given sum of two numbers are 16. Let first number be x and second number=16-x. Now, sum of squares…

Q: 2. Maximize. z subject to 2x1 + 3x2 – 4x3 = 3x1 - 2x2 + x3 0, x2 > 0, x3 > 0.

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Q: Maximize subject to: Z = $140×₁ + $150x₂ 8x1 + 2x₂ 40 9x2 + 3x₂ ≤ 120 X1, X₂ ≥0

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Q: Minimize f = 4x1 - 10x2 - 20x3 subject to 3x1 + 4x2 + 5x3 < 60, 2x1 + x2 < 20, 2x1 + 3x3 < 30

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Q: A trailer manufacturer has multiple products designed to be towed by a pickup (Ford F-150, Toyota…

A: NOTE: Refresh your page if you can't see any equations. . here fixed cost is 45441 and the variable…

Q: 1. Maximize : x1+5x2– x3 xị +x2 2 18 2x1 +x2 +x3 < 40 X1 +x3 2 20

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: How would this problem be set up to solve using separation of variables?

A: Separation of variable: A first-order differential equation of the form f(x)dx=f(y)dy is known as…

Q: Use Simplex method to Maximize Ζ = 4x1 +10x2 Subject to  2x1 + x2 ≤ 50                    2x1 +…

A: Solution

Q: Use Lagrange multipliers to find three positive numbers whose sum is 18 and the sum of whose squares…

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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: Find two positive numbers whose sum is 14 and the sum of whose squares is minimum

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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: 5. A farmer wants to fence an area of 9600 square feet in a rectangular field and then divide it in…

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Q: A farmer wants to fence an area of 37.5 million square feet in a rectangular field and then divide…

A: The rectangular field would look like below.

Q: 2. Find two numbers whose sum is 50 and whose product is a maximum.

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Q: Maximize Z=150x1+125x2+95x3 Subject to Assembly Inspection Packaging D 3.5x1 +2.75x2 +1.25x3 <= 150…

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Q: Find the number in the interval [ - 5,5] so that the sum of six times the number and its square is…

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Q: Differentiate: y = v 6x – 8x3 O y' = (3 - 12r²) /6x – 8x³ %3D O y = 6-24z2 %3D V 6z-823 3-12z2 O y'…

A: The given function is: y=6x-8x3 Let u=6x-8x3 So, y=u

Q: Maximize 5x+5y subject to  2x+y≤30 x+2y≤24 x,y≥0

A: Let us take P = 5x + 5y, now we can form the tables for the constraint inequalities and then solve…

Q: Minimize: Z = 3X₁ + 5X₂ + 5X3 + 4X Subject to: 8X₁ + 2X4 ≤ 100 4X2 + 3X3 = 90 X₁ > Q

A: The given LPP is  Minimize Z=3X1+5X2+5X3+4X4subject to 8X1+2X4≤1004X2+3X3=90X1,X2,X3,X4≥0 Add the…

Q: Maximize Z = 19x1 + 8x2 subject to 9x1 + 16x2 0

A: Consider the given problem.

Q: Forwarded Maximize z = 2x1 + 3x2 subject to 5x1 + 7x2 \leq35 4x1 + 9x2 \leq36 x1, x2 \geq 0 and…

A: Maximization of a linear programming problem is carried out to obtain a solution that follows all…

Q: To prevent pests, an orchard can have no more than 9 times as many apple trees as peach trees. Also,…

A: To find out the number of apple trees and number of peach trees that will maximize the revenue.

Q: piece of wire is with a length of 4 m is cut into two pieces, and the resulting two pieces are…

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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: The model Maximize 30x + 40y Subject to: • 30x + 31y = 0

A: Write the set of values for corner points.

Q: 1) Maximize z = 4x1 + 2x2 subject to: 2x1 + 3x2 <6 X1 + 3x2 < 4 2x1 + 2x2 <8 X1 20, x2 20 with

A: Here we solve the given problem of LPP by simplex method.

Q: A fertilizer producer finds that it can sell its product at a price of p = 3500 – 0.7x dollars per…

A: Given that the selling price per unit is, p=3,500-0.7x dollars. The total production cost is,…

Q: Maximize z = 10x₁ + 55x2 + 50x3, subject to 16x1 4x2+ 9x3 S 122 8x₁ + 13x2 + 22x3 ≤ 142 6x215x3 S…

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Q: A rectangle with length L and width W is cut into four smaller rectangles by two lines parallel to…

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Q: A small orchard yields 25 bushels of fruit per tree when planted with 40 trees. Because of…

A: The statement mentions that there are 25 bushels of fruit per tree when planted with 40 trees. Now,…

Q: Minimize -z=-8 X1 – 10 X2 -7X3 Subject to XI +3 X2+ 2X3 < 10 -XI -5 X2 - X32 -8 XI, X2, X3 20

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Q: A rectangular garden of area 408 square feet is to be surrounded on three sides by a brick wall…

A: The solution as follows :-

Q: In a world where people's happiness is the product of the square of the amount of one's food which…

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Q: Maximize z=14x, + 3x2 subject to: 7x, + 3x, 58 X1 +3x, 54 X, 20, X2 2 0. with

A: We will be using the simplex method to solve the following system.

Q: Maximize Z = 2x1 + x2 – 2x3 - Subject to -2xı + x2 + x3 2 -2 - x1 + x2 - x3 2 –4 X1 +x2 + 2x356…

A: Given: Maximize Z=2x1+x2-2x3 Subject to constraints -2x1+x2+x3≥-2        ......(A) -x1+x2-x3≥-4…

Q: A company needs 300,000 items per year. It costs the company $1,440 to prepare a production run of…

A: It is given thatA company needs 300,000 items per year.It costs the company$1,440 to prepare a…

Q: A farmer wants to fence an area of 13.5 million square feet in a rectangular field and then divide…

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Q: A rectangular field with one side along a river is to be fenced. Suppose that no fence is needed…

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Q: Maximize z= 14x, +3x,

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Q: A constant number of files are processed daily at Mehenti Carobar (MC) Pvt. Ltd. Three clerks can do…

A: Let, head clerk takes x hours, senior clerk takes x+2 hours and junior clerk takes x+2+6=x+8 hours…

Q: A boat in the ocean is 3 miles from the nearest point on a straight shoreline; that point is 5 miles…

A: Given- A boat in the ocean is 3 miles from the nearest point on a straight shoreline; that point is…

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: A farmer wants to fence an area of 24 million square feet in a rectangular field and then divide it…

A: let the fencing done on a rectangular field with half of a fence done on a parallel side of a…

Q: 2. The sum of two positive real numbers x and y is 120. Find the values of x and y that will…

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Q: Maximize Subject to · P= 30x +4082 2x₁+x₂ ≤ 30 X₁ + X₂ ≤21 *₁+2x₂ ≤ 36 X₁ X₂ 20

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Q: Suppose x and y are positive integers such that the sum of x^2 and y is 10x. Find the values of x…

A: Given x^2+y=10x.From there find y.

Q: Maximize z = 18x1 + 16x2 Subject to 15x1 + 25x2 < 375 24x1 + 11x2 < 264 X1, X2 2 0 ard

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