Q1:- How do you determine if an LP problem has alternative optimal solutions.                                                        Min z = 4x1 +   2x2    s.t.      3x1 + x2   ≥   27  -x1 - x2   ≤ 21  x1 + 2x2   ≥   30    x1 and x2  are unrestricted .

Q: Maximize 3x₁ + x2 subject to -₁ + 2x2 ≤ 0 X₂ ≤ 4. a. Sketch the feasible region. b. Verify that the…

A: We are given the linear programming problem Maximize 3x1+x2subject to -x1+2x2≤0x2≤4 First we draw…

Q: A firm’s revenue after selling q items is given by R(q) = 2q3 +36q while the firm’s costs after making…

A: R(q) = 2q3 +36qC(q) = 3q2 −10Profit, P(q) = R(q) - C(q) = 2q3 +36q - (3q2 −10) = 2q3 - 3q2 +…

Q: Q1) Find (optimum solution) that maximum the sum 5X1 + 7X2 subject to the constraints below using:…

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Q: Q2) Using Graphical Method to determine the optimal value of X1 & X2 that maximize value of Z, Max.…

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Q: Q-5)for the LPP below: Max Z = 2X1+X2 S TO :X1+X2 = 3 X2 = O The kind of solution is : * O…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Use Evolutionary Solver to solve this non-linear program. Max 3x2 + 0.4y3 - 1.424 s.t. 5 ≤x≤18 4…

A: answer is in next step

Q: Solve the following LP problems using graphical method. Clearly draw the feasible region,…

A: To solve the given linear programming problem graphically, we want to draw all the inequalities on…

Q: Consider the problem: Min 10+ x² + y² subject to 2x² + y² ≥ 2, x ≥ 0 and y ≥ 0. x,y 1. Suppose that…

A: Given: The problem isMinx,y10+x2+y2 which is subjected to 2x2+y2≥2, x≥0 and y≥0. To find: (a) The…

Q: 1. Determine the optimum solution by applying simplex method and graphical method showing the…

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Q: Q4) by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z310X1+25X2…

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Q: Q2) Solve the following LP problem by graph: Maximize P = -x + 5y (x-2y ≥0 y ≤100 Subject to: x + y…

A: Given : Maximize: P = -x + 5y Subject to, x - 2y ≥ 0 y ≤ 100 x + y ≥ 210 x ≥ 0, y ≥ 0 Now, Graph :

Q: A farmer in the magical land of Avalon is raising a unicorn to sell to a band of Jewel Riders. The…

A: Ques: A farmer in the magical land of Avalon is raising a unicorn to sell to a band of Jewel Riders.…

Q: Solve the following LP problems using graphical method. Clearly draw the feasible region,…

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Q: 5 x 500, p 4 - In(x) where x is the number of hot dogs (in thousands) that can be sold during one…

A: Given a function

Q: Social animals that live in groups can spend less time scanning for predators than solitary…

A: Given: For a group of size x, the fraction of time spent scanning for predators is S(x)=2541x+1 and…

Q: Consider the optimization problem min x1-4x2 +x3 x1+2x2 +2x3 =-2, x + x3+x}< 1. (P) s.t. (i) Given a…

A: Given optimization problem is  min x1-4x2+x3 Subject to  x1+2x2+2x3=-2x12+x22+x32≤1 The optimization…

Q: max Z = x, +3x, s.t. 2. -x; +2x, 0

A: Graphical method

Q: Solve the following LP problems using graphical method. Clearly draw the feasible region,…

A: The problem is,max Z=x1+3x2such that -x1+2x2≤8x1≥0 and x2≥0

Q: Find the optimum values of X1, X2 and X3 that maximize the values of Z using simplex method?…

A: Add slack variable for the simplex method  Maximize Z=2x1+4x2+x3+0S1+0S2+0S3 Subject to…

Q: Q 6/Find the optimal solution for the following (LP) model by using Algebraic and graphic method…

A: Solution Using Simplex Method -

Q: Consider the following LP: max z = 21 – 4x2 s.t. x1 - x2 0. (a) Write down the dual of this LP.…

A: given  Solve Dual problem by Big M method...  .

Q: Q2) Using Graphical Method to determine the optimal value of X1 & X2 that maximize value of Z, Max.…

A: Graphical method: -  Step 1: - First we solve the inequality equation, and find the coordinates.…

Q: 3.Max Z = x1 + 6x2 Subject to: 17x4 + 8x2 s 136 3x, + 4x2 s 36 X1, x2 2 0 and integer Find the…

A: Given information is Max Z = x1 + 6x2Subject to:17x1 + 8x2 &lt;=136    ---------&gt;(A)3x1 + 4x2…

Q: A farmer in the magical land of Avalon is raising a unicorn to sell to a band of Jewel Riders. The…

A: Given that, the market price of the unicorn is $12 per pound, rate of fall of price is -0.10 pounds…

Q: Q6) by using the (graphical method) find the optimum solution of X1, X2 that the minimum Z=10X1+25X2…

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Q: Suppose a corporation manufactures candles at two locations. The cost of producing *1units at…

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Q: A corporation manufactures candles at two locations. The cost of producing x1 units at location 1 is…

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Q: Giventheprice-demandfunction p(x)=−2x+75, and Total cost function C (x) = 4x +165 . Find the…

A: Given: Price-demand function p(x)=−2x+75, and Total cost function C (x) = 4x +165. Let us plot the…

Q: Q3. Solve the following LP problem using the simplex method: Maximize: Z- 2x +y Subject to: 2x + y56…

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Q: Q5) by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z=4X1+5X2…

A: We have to find the optimum solution of given LPP using graphical method.

Q: Q4 /Find the optimal solution of (LP) by using graphical method Max. Z= 4X1+3X2 Subject to: 3X1+2X2…

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Q: ABS limited manufactures drones at two locations. The cost of producing x, units at location A is C…

A: Given: C1=0.05x12+15x1+5400C2=0.03x22+15x2+6100 To maximize P(x1,x2)=180(x1+x2)-C1-C2

Q: Max Z=5X1+2X2 S.T. 2X1+5X2 <10 4X1 - X2 s 12 X1+X2 < 4 X1,X2 2 0 Optimal solution is X1=3, X23D0 Z=…

A: We will solve yhis problem by using graphical method. First draw the given regions in the graph.…

Q: Consider the problem: Min 10+ x² + y² subject to 2r² + y² ≥ 2, z≥0 and y≥ 0. T,Y 1. Suppose that…

A: Consider the problem, Minx,y10+x2+y2 subject to 2x2+y2≥2,x≥0 and y≥0.  The objective is to write…

Q: Use Evolutionary Solver to solve this non-linear program. Max 5x2 + 0.15y3 - 2z4 st. 7sxs 18 6 sys…

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Q: Ask

A: A farmer in the magical land of Avalon is raising a unicorn to sell to a band of Jewel Riders. ne…

Q: Q3) Find the optimal solution by using graphical method: Max Z = x, + 2x2 2x1 + x2 S 100 X1 +x2 < 80…

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Q: Q2// Find the optimal point from the * :mathematical model (by Big-M methods) Max Z=150 x, +110x+…

A: We solve given LPP by Big-M Method.

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: A fertilizer producer finds that it can sell its product at a price of p = 1000 – 0.2x dollars per…

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Q: Q2) Using Graphical Method to determine the optimal value of X1 & X2 that maximize value of Z, Max.…

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Q: Solve the following LP problems using graphical method. Clearly draw the feasible region,…

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Q: Solve the optimization problem. Maximize P = xyz with x +z = 18 and y +z = 18, and x, y, and z 2 0.…

A: NOTE: Refresh your page if you can't see any equations. . the first constraint is  . the second…

Q: 8. Maximize P=3x+2y 2x+ys22 x+3 ys26 XS10 Subject to ys10 X,y20

A: The LPP is given as Max P=3x+2y subject to 2x+y≤22x+3y≤26x≤10y≤10x≥0y≥0 We will solve it by…

Q: d) A company produces two products. After considering all cost, the company profit (in RM) is given…

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Q: P(x)= -.5x2+15x+4700 P'(x)= -x+15 p"(x)= -1 < 0 I need help with the three steps below. The P(x)…

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

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

Q: how don in solve for the optimal combination of labour and capital that maximized output. given…

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Q: Q1/Use simplex method to maximize the function max R=7x+ 4y Subjected to 2x+ y =20 X+Y< 18

A: To maximize R=7x+4y S.T.C. 2x+y=20x+y≤18x≤8 Introduce the slack and artificial variables: Max…

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…