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

Q: Find the minimum values for the set of equations; indicate if the solution has on converged. x² +…

A: Given, x2+2y2-2=02x3+y2-3=0 To Find: Minimum values for the above set of equations.

Q: A window on a new house is designed as a rectangle with a semicircle on the top. If the window is…

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Q: Solve: Minimize C = 2x + 10y, subject to: 5x + 2y ≥ 40 x + 2y ≥ 20 y ≥ 3 , x ≥ 0

A: Minimum value of C=58

Q: A solid steel cylinder is to be produced so that the sum of its height h and diameter 2r is to be at…

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Q: A piece of wire of length L is to be cut into two pieces, one piece to form a square and the other…

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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 box with no top is to be built by taking a 12"-by-16" sheet of cardboard and cutting x-in. squares…

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

A: According to given,    Let x be length of the portion that is bent into a circle   Therefore, 4-x=…

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: 3] Use Lagrange multiplier to find the dimensions that will maximize the area for rectangle whose…

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Q: Of all numbers whose sum is 50, find the two that have the maximum product. That is, maximize Q =…

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Q: a. A rectangular pen is built with one side against a barn. If 2200 m of fencing are used for the…

A: a)find the dimensions maximize the area of the pen

Q: Maximise 1170x1 + 1110x2 Subject to: 9x1 + 5x2 ≥ 500 7x1 + 9x2 ≥ 300 5x1 + 3x2 ≤ 1500 7x1 + 9x2 ≤…

A: Graph all the inequalities using a tool.

Q: a. A rectangular pen is built with one side against a barn. If 400 m of fencing are used for the…

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

Q: a. A rectangular pen is built with one side against a barn. If 2500 m of fencing are used for the…

A: Note: According to Bartleby guidelines; For more than one question asked only the first one is to be…

Q: 1. Find the maximum of P-4x+5y subject to 2x+y10 x20, y20 Sketch your feasible region and find all…

A: The LPP is given as max P=4x+5y subject to 2x+y≤24x-y≥0x+2y≥10x≥0y≥0   We will solve it by Graphical…

Q: Consider a wire 4 ft long cut into two pieces. One piece forms a circle with radius r and the other…

A: Given Length of the wire = 4 ft One piece forms a circle with radius r. The other piece forms a…

Q: A fence is to be built around a rectangular area of 36 square metres beside a building where one of…

A: Let x be the length and y be the width of the rectangle One side of the rectangle have no fence. So…

Q: Graph the feasible region. x + y 2 3 -x + y 2 1

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Q: Use the method of Lagrange multipliers to find the dimensions of a rectangle with perimeter p and…

A: It is given that the perimeter is p and it has maximum area. Let the dimensions of the rectangle be…

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: 3] Use Lagrange multiplier to find the dimensions that will maximize the area for rectangle whose…

A: Using Lagrange multiplier to find the dimension of rectangle whose area is maximum

Q: Suppose the feasible region has four corners at these points (0,0), (8,0), (0,12), and (4,8).  If…

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Q: a rectanglar garden must be constructed so that the width is 150ft. what are the possible values for…

A: For a rectangle whose length is ‘l’ and width is ‘b’ the perimeter ‘p’ is given by the formula.

Q: Hi, I am wondering how to do the work for this problem and what the final answer would be. Thank you

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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: 2.1. Use the steepest-descent method to solve minimize f(x1, x2) = 4x + 2x + 4x1x2 – 3x1, %3D…

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Q: A box with a volume of 530 cm3530 cm3 is to be constructed. The sides of the box cost 3 cents per…

A: Given, Volume of the box = 530 cm3 Sides of the box cost = 3 cents/cm2 Top and bottom cost = 6…

Q: Find two positive integers such that their sum is 10, and minimize the sum of squares.

A: Given  two positive integers such that their sum is 10, To minimize the sum of squares

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: A company needs to manufacture cylindrical cans out of tin, each of which must have both a bottom…

A: Here we solve the given problem of calculus.

Q: An open box is to be made from a square piece of cardboard measuring 15 inches on a side by cutting…

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Q: A farmer wishes to build a rectangular fence and has 800 meters of fencing material with which to…

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Q: Use the two-stage method to solve. Find x, 20 and x, 20 such that X1 + 2x2 s 22 X1 + 3x2 2 12 2x, +…

A: In Two Stage Method, the whole procedure of solving a linear programming problem (LPP) involving…

Q: A first class radio-telephone operator wishes to cut the wire 100 meters long into two pieces. One…

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Q: Solve by HEURISTIC METHOD. Maximize Z MAXIMIZAR Z=X1+ 5X2 +7X3+ 3X4 Sa. 7X1 + 3X2 + 2X3 +4X4 <21 8X1…

A: We have linear programming problem with us. Maximize Z=X1+5X2+7X3+3X4subject to, 7X1+3X2+2X3+4X4≤21…

Q: 10. A farmer has 400 feet of fencing to enclose two adjacent sheep corrals. What should be the…

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Q: Find the minimum values for the set of equations; indicate if the solution has on converged. x² +…

A: We are given the set of equations, x2+2y3-5=02x4+y2-9=0 We need to find The minimum values for the…

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 1 –…

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Q: Minimize 3x2 - y2 using steepest descent method, with initial point (4,4) and give the values of ao,…

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Q: Since the feasible region is closed and bounded, we know that the maximum value will occur at…

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Q: Use the simplex method to find x, 20 and x, 20 such that X1 + 4x2 2 26 X1 + X2 546 and such that z =…

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Q: Use the two phase method to find solutions. minimize aX1 + bX2 subject to X1+ 3X2 =3 X1,X2 > 0

A: The given problem is : Minimize z=ax1+bx2 subject to x1+3x2=3                  x1,x2≥0 Converting…

Q: Find the multiple solutions. Maximize  z = 45x1 + 30x2,  subject to 2x1  +  9x2  ≤  144 2x1  +…

A: z=45x1 +30x2subject to 2x1 +9x2 ≤1442x1 +3x2 ≤603x1 +2x2 ≤75x1 ≥0 , x2 ≥0  To find : Maximum value…

Q: A gardener wants to construct 4 garden areas by first building a fence around a rectangular region,…

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Q: The school director of Saint Louis School of Pacdal, Inc, wants to construct a rectangulr wants to…

A: To find: The dimensions of the garden to be maximized: Given information: The school director wants…

Q: Of all numbers whose sum is 54​, find the two that have the maximum product. That​ is, maximize…

A: we have to find the value of x and y when Q has maximum value. the solution is following.

Q: 6] [3M] Use Lagrange multiplier to find the dimensions that will maximize the area for rectangle…

A: Let the dimensions be length = x and breadth =y.  Area of rectangle A(x,y) = xy  Perimeter of…

Q: A river flows between the lines x = 3 and x = 4. Where should a bridgebe constructed to minimize the…

A: A river flows between the line x=3 and x=4. Bridge constructed to the path from O(0,0) to P(5,4).

Q: Create a 2nd order, homogeneous, linear IVP, that is not guaranteed to have a unique solution at…

A: Let's a take a 2nd order, homogeneous, linear IVP. For second order differential has a unique…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.