GRAPHICAL METHOD Minimize: 40x + 25y Subject to: 2x + 3y >= 6 x + 5y <= 3 3x + 2y <= 10 x; y >= 0

Q: A closed rectangular box with a volume of 54 cm³ is made from two kinds of materials. The top and…

A: • To solve this problem we have to express the Cost of rectangular box as a function of two…

Q: Minimize z=2x+5yz=2x+5y Subject to 4y+5x≥364y+3x≥27y+x≥8x≥0y≥04y+5x≥364y+3x≥27y+x≥8x≥0y≥0 Solve this…

A: We need to solve the given linear programming problem by Graphical Method.

Q: a rectangular garden area of 340 square feet is to be surrounded on three sides by a brick wall…

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Q: A cylinder-shaped can needs to be constructed to hold 600 cubic centimeters of soup. The material…

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Q: A can for vegetables is to have a volume of 250 cm³. The material for the top and bottom of the can…

A: We have to determine the total cost of the can that minimizes the cost of materials.

Q: A goat farmer needs to enclose a rectangular field. The area of the field will be 600m^2  The farmer…

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Q: Using simplex method determine the optimal solution. Given: Minimize Cost= 6x + 16y Subject to:…

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Q: struct the sides. If styrofoam costs 150 dollars per square meter, and carton costs 100 dollars per…

A: Please refer to the image below

Q: A farmer wants to fence an area of 600 m in a rectangular field and then divide it in half with a…

A: Consider the given information,

Q: An open-top box is to have a square base and a volume of 10 m3 . The cost per square meter of…

A: Given: Volume of an open-top box with a square base = 10 m3, The cost per square meter of material…

Q: A fence is to be built to enclose a rectangular region of 480 square feet. The fencingmaterial along…

A: Let the length and width of rectangular region be x and y as shown on board

Q: A box is contructed out of two different types of metal. The metal for the top and bottom, which are…

A:

Q: A closed rectangular box with a volume of 81 cm³ is made from two kinds of materials. The top and…

A: we use Lagrange multipliers method

Q: A box of volume 84 m^3 with a square bottom and no top is constructed out of two different…

A:

Q: A homeowner wants to build, along his driveway, a garden surrounded by a fence. If the garden is to…

A: Given: The garden is to be 1,250 square feet. To minimize the cost

Q: A box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the…

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Q: A cylinder-shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material…

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Q: A closed box with a square base is to have a volume of 2000 cm3. The material for the top and bottom…

A: closed box with a square base is to have a volume of = 2000 cm3.  Assume x be the side of the top…

Q: Chicken has 10 g of protein and 5 g of fat per ounce. Grain had 2 g of protein and 4 g of fat per…

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Q: A company manufactures cylindrical metal drums with open tops with a volume of 1 cubic meter. What…

A: A company manufactures cylindrical metal drums with open tops with a volume of 1 cubic meter. To…

Q: A drink can, in the form of a cylinder, needs to have a volume of 750 cm³. The material for the top…

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Q: A rancher plans to use an existing stone wall and the side of a barn as a boundary for two adjacent…

A: A rancher plans to use an existing stone wall and the side of a barn as a boundary for two adjacent…

Q: Using Lagrange multipliers method, find the maximum and minimum values of f(x, y, z) = x y z subject…

A: Note that our constraint is a bounded region. Hence, x, y, z will exist and will lie in a closed and…

Q: wastebasket has a wire circle for the top and bottom, and six straight wire rods that hold the top…

A: Find your answer below

Q: A closed rectangular box with a volume of 81 cm3 is made from two kinds of materials. The top and…

A: Solve for the dimensions

Q: Using Lagrange multipliers, find three positive numbers whose sum is 9 and such that the sum of…

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Q: A box of volume 2000 m³ with square bottom and no top is constructed out of two different materials.…

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Q: box with a square base and open top must have a volume of 13,500 cm3. Find the dimensions of the box…

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Q: LP Model Minimize: subject to: z = x-y 4x-3y ≤0 x+y ≤ 10 x.y 20

A: We have given a LP model ,  min z = x - ysubject to,         4x - 3y ≤ 0         x + y ≤ 10…

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: Using Lagrange multipliers, find three positive numbers whose sum is 15 and such that the sum of…

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Q: A box with a square base and open top must have a volume of 100 cm3 . The material for the bottom…

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Q: A box with a square base and an open top must have a volume of 32,000 cubic centimeters. Find the…

A: let x denotes the length of the sides on the square base assume height of the box is h   Then the…

Q: A box is constructed out of two different types of metal. The metal for the top and bottom, which…

A:

Q: solve with simplex and do at least two step minimize f=5x1+4x2-x3 subject to; x1+2x2-x3>=1,…

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Q: Using Lagrange multipliers method, find the maximum and minimum values of f (x, y, z) = x y z…

A: The given function is fx,y,z=xyz and the constraint is x2+y2+z2=3. Let gx,y,z=x2+y2+z2-3.

Q: Two positive numbers x and y add up to 100. What values of x and y will minimize 1² + 3y?

A: Given that x&gt;0 ,y&gt;0 and x+y=100 To find the values of x and y such that x2+3y will minimize.…

Q: Employing graphical method, minimize the distance of the origin from the concave region bounded by…

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Q: A closed rectangular box with a volume of 81 cm³ is made from two kinds of materials. The top and…

A: X= 3, Y = 3 , Z = 9

Q: A box is contructed out of two different types of metal. The metal for the top and bottom, which are…

A: A box is constructed out of two different types of metal. The metal for the top and bottom, which…

Q: A closed rectangular box with a volume of 81 cm³ is made from two kinds of materials. The top and…

A:

Q: A juice box must contain 500 ml of liquid and have a square base. Which dimensions of the box will…

A:

Q: A closed rectangular box with a volume of 81 cm³ is made from two kinds of materials. The top and…

A: We use langrange multiplier method

Q: A rectangular garden of area 320 square feet is to be surrounded on three sides by a brick wall…

A:

Q: A rectangular box is going to be made with a volume of 274 cm3 . The base of the box will be a…

A: Let x cm be side of base of rectangular box and h cm be the height of the rectangular box , then its…

Q: Rectangular boxes with a volume of 8 m³ are to be made of three materials. The material for the top…

A: Let the dimensions of the box be x,y, and z. Given the volume of the rectangular box is xyz=8. Let…

Q: landscape architect wished to enclose a rectangular garden on one side by a brick wall costing…

A: Given query is the length of x and y.

Q: A tank with square base and volume 1125 cubic unit. If colouring of base and side cost $5 and top…

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Q: A storage box with a square base must have a volume of 90 cubic centimeters. The top and bottom cost…

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