(c) (d) Find the dual problem maximize - 4x +7z+y subject to z - 3y = 2, 3x+6y= 2 x, y, z ≤0 Find the dual problem maximize x - 3y subject to 3x - 2y ≤ 5, x+y≤ 10 Find the dual problem minimize 4x + 2y subject to x + y ≥ 5, 2x-3y ≤7

Q: Step 1 Take the direct antiderivative using the Power Rule for Integration. (x + 2)² When n-4. Ar…

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Q: Maximize P= 7x+9y Subject to: 2x+ y12 x, y 20

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Q: Maximize p = 4x + 3y subject to −3x + y ≥ 17 x + 5y ≤ 19 x ≥ 0, y ≥ 0. p= X,Y=

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Q: Minimize C = 5x + 6y     subject to   4x  +  y  ≥ 36   2x  +  y  ≥ 30   x  +  3y  ≥ 30   x ≥ 0, y ≥…

A: NOTE: Refresh your page if you can't see any equations. . The given system is  subject to

Q: 32. Maximize and Minimize Z = 7x + 36y 2x + 3y > 6 -3x+ 4y < 8 5x – y < 15 Subject to :

A: We first draw 2x+3y=6 , -3x+4y=8 and 5x-y=15(using graphing calculator)

Q: 4. Minimize 375 2x 3y subject to the constraints x2 0, y 2 0 x< 30, y < 25 x+y< 45 (x+y%15.

A: Given the optimization problem,  To minimize 375-2x-3y subject to the constraints x≥0, y≥0x≤30,…

Q: Find the maximum possible value of f = 100x +100y and the values of x and y that give that…

A: GIVEN f = 100x +100y we need to find the maximum possible value of f,

Q: Maximize Z = 3x + 4y subject to the constraints: × + y =0, y =0. Find the maximum value of 2?

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Q: 18. Maximize P = 4x - y subject to 2x-3y 2-6 2x+y≤6 x + 3y 23 Hint: use 2 squares per step in the…

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Q: . Consider the problem of maximizing xix, subject to the constraint 2x2 + x3 = 1. Find all critical…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Maximize the function p = -x+y over the following constraints: a) x+y>=4, x>=0, y>=0, -x+2y<=2,…

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Q: Maximize p = 10x + 20y + 15z subject to x + 2y + z ≤ 80     2y − z ≥ 20 2x − y + z ≥ 40 x ≥ 0, y ≥…

A: Given,       Maximize(p)=10x+20y+15z, Subject to,              x+2y+z≤80,      2y-z≥20,2x-y+z≥40,…

Q: Minimize C =-4x - 7y %3D Subject to 6x+ 2y < 40 2.x +3y < 50 x 20, y 2 0

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Q: Maximize p = 10x + 20y + 15z subject to x + 2y + z ≤ 80     2y − z ≥ 20 2x − y + z ≥ 40 x ≥ 0, y ≥…

A: The given problem is to solve the given linear programming problem for max P = 10x+20y+15z subject…

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

A: Introduction: The simplex method is a method for testing vertices as potential solutions in a…

Q: Minimize C= 3x + 7y subject to x +3y >= 15                   4x + y >= 16                  X>=0,…

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Q: 6.A company makes product 1 and 2 from resources, the LP model is like below Maximize Z= 8x1 +2x2…

A: Maximize Z =8x1+2x2Subject to4x1+5x2≤202x1+6x2≤18x1,x2≥0 :After introducing slack variablesMax Z =…

Q: Maximize p = 2x + 3y + 5z 2y + 2y + Y + Subject To: 2x + X ++ X + IA IA IA 2 3x < z 10 15 40

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Q: Which of the points to the right are NOT in the feasible region of the following system of…

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Q: -) Consider the following graphical solution and Simplex Method path for an LP with objective…

A: From given feasible region we can write the associated mathematical form of LPP:sub to:…

Q: 4.(a) Sketch the region of solutions of the following systems of inequalities: 2? + 3? ≤ 12 −? + 2?…

A: Inequalities.

Q: Maximize p = 5x − 4y + 3z subject to 10x + 10z ≤ 100 5y − 5z ≤ 50 10x − 5y ≤ 50 x ≥ 0, y ≥ 0, z ≥…

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Q: Find the values of x, y, and z that maximize xyz subject to the constraint 480 - x - 5y -8z =0

A: Max:  xyz Subjected to constrain: 480-x-5y-8z=0

Q: Maximize the function P = 7x - 4y subject to What are the corner points of the feasible set? The…

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Q: Use simplexmethod to solve the given LPP Maximize z = 6xi+8X2 subject to, 3oxi+20r2<300 52+lox25 llo…

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Q: Maximize P = 3x + 5y subject to x + 3y ≤ 12 -2x - 3y2-18 x≥ 0, y≥ 0

A: Given LPP is the following :We rewrite it as follows :

Q: 5. Use duality to show that the following LP has an optimal solution 2x1 - X2 Subject to 2x, -X2 - X…

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Q: Minimize c = 5x + y + 5z subject to x + y + z ≥ 80 2x + y ≥ 50 y + z ≥ 50 x ≥ 0, y ≥ 0,…

A: To solve the given linear programming problem: Minimize c = 5x + y + 5z subject to x + y + z ≥ 80…

Q: Minimize z = 22x1 + 44x2 + 33x3 subject to x1 + 2x2 + x3 > 3, x1 + x3 3, 3x1 + 2x2 + 2x3 8 using two…

A: Given LPP is  Minimize z=22x1+44x2+33x3Subject tox1+2x2+x3≥3x1+x3≥33x1+2x2+2x3≥8x1,x2,x3≥0 In order…

Q: Maximize p = 5x − 4y + 3z subject to 10x + 10z ≤ 100 5y − 5z ≤ 50 10x − 5y ≤ 50 x ≥ 0, y ≥ 0, z ≥…

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Q: Maximize P=12x1+3x2+x3, Subject to:  10x1+2x2+3x3 ≤100 7x1+3x2+2x3≤77 2x1+4x2+x3 ≤80 x1,x2,x3≥0

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Q: Minimize and maximize P = 30x+10y subject to 2x + 2y = 4 6x + 4y = 36 2x + y ≤ 10 0 x, y ≥ =

A: The solution is shown in step-2

Q: As a business student and a computer scientist, a research has been conducted and the problem has…

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Q: Find the solution and the solution to the dual problem for following prob- lem. (P) minimize subject…

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