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## Related Algebra Q&A

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Q: Find r and h that minimize S subject to the constraint V = 54n.

A: Here V=54π and we should minimize S=2πrh+2πr2 under the constraint V=54π=πr2h V(r,h)=πr2h-54π

Q: Which of the following points is a corner point in the feasible region for this LP problem? a.)…

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Q: Find the optimal solution for the following pr Minimize C = 16x + 21y + 9z subject to 13x + 15y +…

A: Given, Minimize C =16x+21y+9zSubject to 13x+15y+22z≥57…

Q: . Let a be the number of pills of Palium taken daily and b be the number of pills of Timade taken…

A: Consider first inequation, 4a+2b≥10Let 4a+2b=10Let a=0, then2b=1022b=5b=52b=2.5Put b=0…

Q: The constraints and the objectives that are used to "reduce the amount of overtime for both machines…

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Q: Find the optimal solution for the following problem. (I Minimize C = 11x + 5y subject to 10x + 12y >…

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Q: B, solve for x and 1+r 7. Suppose U = x1x2 and the budget constraint is given as x1 +

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Q: 3. Let a be the number of pills of Palium taken daily and b be the number of pills of Timade taken…

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Q: 3. Let a be the number of pills of Palium taken daily and b be the number of pills of Timade taken…

A: Using graphical method to solve the problem, see thd hue solution below.

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Q: 3. Let a be the number of pills of Palium taken daily and b be the number of pills of Timade taken…

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Q: Convert the following problems to standard form: (a) Minimize a + 2y + 3z subject to 2 1, y 2 2, z…

A: a) The given problem is,minimum x+2y+3zsubject to 2≤x+y≤34≤x+z≤5and x≥0, y≥0, z≥0

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A: Click to see the answer

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Q: In the following problem, a minimization problem, the corresponding duai probiem, and the final…

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Q: The corner points for the bounded feasible region determined by the system of inequalities shown…

A: E is true.

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Q: Write the dual of the following LP pra lem Minimize Z = 3r- 2r2 + 4x3 Subject to the constraints 3r,…

A: Find dual from of the lp problemMIN z = 3x1 - 2x2 + 4x3subject to3x1 + 5x2 + 4x3 >= 76x1 + x2 +…

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Q: The corner points for the bounded feasible region determined by the system of inequalities shown…

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Q: 1. Suppose U(x, y) = xy + x + 2y, and the budget is described by 2x + y = m, solve for x* and y*.

A: The solution of the problem is given in the next steps.

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Q: Find the optimal solution for the following problem. Minimize C = 4x + 12y + 3z 15x + 5y + 12z 2 75…

A: Click to see the answer

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Q: Which of the following points is cotained within the feasible region corresonding to the system of…

A: Given inequations are 3x+6y<12…

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Q: 6 Find the minimum of –x + 2y on the feasible set given by x 2 0, x5 4, y 2 2, and x+y24. a) 0 b) 2…

A: We graph x≥0, x≤4, y≥2 and x+y≥4 using a graphing calculator.

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Q: Solve the following linear programming problem. Minimize z=13x+9y subject to: 3x+4y>21…

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Q: The corner points for the bounded feasible region determined by the system of inequalities shown…

A: Click to see the answer

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Q: Obtain the necessary conditions for the optimum solution of the following Minimize f(x,, x2) = 3…

A: We will use Lagranges multiplier method to find condition for minimization To minimize f(x,y)…

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Q: Given the area of a rectangle is A = bh, and the perimeter of the rectangle is 2b + 2h = 26,…

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Q: Find the minimum and maximum of the function z= 2z - 4y subject to 2z -3y 2 -12 2z+y S 24 What are…

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Q: Find the minimum and maximum of the function z= 7z - 4y subject to y 2 1 7z- 3y 2 18 7z + y S 57…

A: We have to maximise the function given as z=7x-4y The constraints are given as y≥1y≤87x-3y≥187x+y≤57…

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Q: use the Lagran ge Multiplier Method to find the estreme values of the given function Subject to the…

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Q: Solve the following LP scenario. Maximize p= x +3y+4z subject to 2a + 4y +5z < 75 3x +3y+4z < 64 y2…

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Q: State the dual problem. Use y, and y, as the variables. Given: y, 20 and y2 20. OA. Minimize w -21y,…

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Q: 4. Solve the following model graphically Lexicographically minimize a = {(p1 + p2), (n3). (p4), (n1…

A: The complete solutions are given below

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Q: Solve the following goal programming problems by graphical method. Minimize z = Pidi +2P2D2"+ Pzd3…

A: Given: MinZ= P1d1-+2P2d2-+P2d3-+P3d1+ Subject to constraint:…

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Q: Find the minimum and maximum of the function z 7z - 4y subject to 7z-3y 2 18 7z+y s 57 What are the…

A: Given z=7x-4y subject to y≥1y≤87x-3y≥187x+y≤57 We will solve it by graphical method The shaded…

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Q: If least-square line for X and Y is given as y= 0.17x-5.4, estimate the Y value when X=0.7. Select…

A: Given regression equation isY=0.17x-5.4If x=0.7 theny=?

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Q: I have to find the maximum and minimum.

A: Click to see the answer

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Q: Find the maximum solution to the program: E(x, y) = 8xy² + 2x'y Subject to the constraints: 9x+4y…

A: According to the given information, it is required it find the maximum solution.

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Q: In the following problem, a minimization probiem, the corresponding dual probiem, and the final…

A: Click to see the answer

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Q: D. Use the method of Lagrange multiplier to determine the absolute maximum and min- imum values of…

A: Click to see the answer

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Q: Solve the following linear programming problem. Restrict x ≥ 0 and y ≥ 0. Minimize g = 7x + 8y…

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Q: 2. Consider the following optimization problem: max x, (30 – x, ) +x, (50 – 2x, ) – 3.x, – 5x, –…

A: The objective is to state the KKT conditions and solve the optimization problem max…

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Q: Use the polygon tool to graph the feasible region for the following constraints. x + 3y < 15 x + y <…

A: The given constraints: x+3y≤15x+y≤9x≥0y≥0

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Q: Given the following the LP. Which ones of the followings are the coordinates of the extreme points…

A: Click to see the answer

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Q: Which of the following points is cotained within the feasible region corresonding to the system of…

A: Feasible region: Feasible region is that region of the graph which satisfy all the inequalities,…

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Q: Solve the following problem by using the Graphical Method, and find the optimal solution. Max Z = 6…

A: Click to see the answer

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Q: Write down (without solving) the dual LP problem. Minimize c = 3s + 3t + 2u subject to s + u ≥ 200…

A: To find Dual, Primal should be in Canonical Form. Canonical form A linear program in its canonical…

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Q: Use the indicated region of feasible solutions to find the maximum and minimum values of the given…

A: We will answer the first question only as we don't answer multiple questions at a time. Please…

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Q: Draw the feasible region for the table manufacturing problem, where the constraints are modelled as…

A: Given 2x1+3x2≤3023x1+2x2≤16513x1+4x2≤64x1,x2≥0 Now graph of 2x1+3x2=3023x1+2x2=16513x1+4x2=64 is

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Q: Convert into a maximization problem with positive constants on the right side of each constraint,…

A: Click to see the answer

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Q: Solve the linear programming problem by sketching the region and labeling the vertices, deciding…

A: Here we have to find minimum value if exist.

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Q: Use the big M method to solve. Minimize C = - 5x, - 13x2 + 16x3 subject to X1 + 2x2 + X3 s 17 2x, +…

A: Use Big M method to solve this LPP. Introducing the slack variable, surplus variable and…