Minimize p = 60x + 80y subject to 20x + 30y >= 900 40x + 30y >= 1200

Q: Use simplex method in finding your solution Minimize 3X1 + 5X2 + 5X3 + 4X4 Subject 8X1 + 2X4 s 100…

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Q: 2. Maximize. z subject to 2x1 + 3x2 – 4x3 = 3x1 - 2x2 + x3 0, x2 > 0, x3 > 0.

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Q: Minimize f = 4x1 - 10x2 - 20x3 subject to 3x1 + 4x2 + 5x3 < 60, 2x1 + x2 < 20, 2x1 + 3x3 < 30

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Q: A manufacturer has an order for 1000 units of fine paper that can be produced at two locations. Let…

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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: Solve using simplex. Minimize: w = y1 + y2 + 4y3 Subject to: Y1 + 2y2 + 3y3 > 115 2y1 + y2 + 8y3 200…

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Q: Maximize z = 15x + 15y Subject to 10x + 8y z 190 10x - 14y 2 - 30 x+y s 45 X, y z 0

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Q: A candidate wishes to use a combination of radio and television advertisement in his campaign.…

A: Let x be the total minutes of spots on television. Let y be the total minutes of spots on radio.…

Q: 2. Minimize Z = 4X1 + 4X2 + 2X3 Subject to X1 + 3X2 +6X3 >= 400 2X1 +6X2 + 4X3 >= 350 2X1 + 8 X2 + 5…

A: The LPP is solved using excel solver and all the steps are mentioned.

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

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Q: A manufacturer has an order for 1000 units of fine paper that can be produced at two locations. Let…

A: To find the number of units that should be produced at each location to minimize the cost.

Q: solve using simplex method minimize C =6x+16y subject to: x+y=400 x≤150 y≥200

A: Given,   Min C = 6x+16y        x+y=400        x≤150        y≥200        x, y≥0 The problem is…

Q: A closed rectangular box with a square base and a volume of 12 cubic feet is to be constructed from…

A: Volume=12 cubic feet Top is made of a metal costing $2/ft2 Remainder of wood costing $1/ft2

Q: 2. Minimize: Z = 20X₁ + 10X₂ + 80X3 Subject to: X₁ + X₂ + X3 ≥ 6 : 2X₁ + 4X₂ + X3 = 20 2X₁ + X₂ ≤ 5…

A: We have to find the solution to the given problem.

Q: 5x, + 3x2 2x, + 5x2 2 10 3x + x22 6 X + 7x2 2 7 Minimize subject to and x 20, x2 2 0.

A: We use graphical method to solve the given problem Minimize 5x1+3x2 Subject to 5x1+3x2 ≥10   3x1+…

Q: A company needs 450,000 items per year. Production costs are 500$ to prepare for a production run…

A: Let the number of items in each production be  Therefore, Number of production  Total storage cost…

Q: A company manufactures two types of sneakers: running shoes and basketball shoes. The total revenue…

A: Given ,Revenue from x1 units of running shoes and                           x2 units of basketball…

Q: The production function for a firm is p(x, y) = 68x"y"", where x and y are the number of units of…

A: By Method of Lagrange's multiplier . To maximize fx,y,z subject to gx,y,z=k  Solve system of…

Q: Suppose a company has fixed costs of $57,600 and variable costs of 4 9 x + 222 dollars per unit,…

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Q: Maximize Subject to Maximum is X = y = z = 2x + y x + 5y < 4x + 5y ≤ X Y 25 40 νι νι ΛΙ ΛΙ 00 at

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

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Q: Maximize 5x+5y subject to  2x+y≤30 x+2y≤24 x,y≥0

A: Let us take P = 5x + 5y, now we can form the tables for the constraint inequalities and then solve…

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

A: The given LPP is  Minimize Z=3X1+5X2+5X3+4X4subject to 8X1+2X4≤1004X2+3X3=90X1,X2,X3,X4≥0 Add the…

Q: Maximize P = 5x + 3y subject to 4x + 2y ≤ 20 3x + 3y ≤ 21 x ≥ 0, y ≥ 0

A: Please see the below explanation:

Q: a manufacturer finds that for the first 500 units of its product that are produced and sold, the…

A: Let x be the number of additional units produced beyond 500 units.  Therefore total profit p =…

Q: maximize z=8.50x1+12.10x2 subject to 2x1+3x2 <  24,000 x1 < 6,600 x2 < 5,500 x1+x2 < 10,000

A: topic- linear programming

Q: Maximize Z = 10x1 + 20x2; Subject to -x1 + 2x2 ≤ 15 x1 + x2 ≤ 12 5x1 + 3x2 ≤ 45 and x1 ≥0, x2 ≥ 0

A: Given -  Maximize Z = 10x1 + 20x2Subject to :-x1 + 2x2 ≤ 15x1 + x2 ≤ 125x1 + 3x2 ≤ 45x1, x2 ≥ 0 To…

Q: 1) Maximize z = 4x1 + 2x2 subject to: 2x1 + 3x2 <6 X1 + 3x2 < 4 2x1 + 2x2 <8 X1 20, x2 20 with

A: Here we solve the given problem of LPP by simplex method.

Q: A production facility is capable of producing 60000 products in a day and the total daily cost of…

A: The solution is given below

Q: Maximize z = 10x₁ + 55x2 + 50x3, subject to 16x1 4x2+ 9x3 S 122 8x₁ + 13x2 + 22x3 ≤ 142 6x215x3 S…

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Q: You want to build a 1000 square foot rectangular infinity pool. Three of the sides will have regular…

A: Let the size of pool, x×y=xy=1000 Let the sides of the pool be x, x, y  and also length of Infinity…

Q: Z = 2x + 3y   Subject to –2x – y ≥ –10 x + 3y ≥  6 x ≥ 0 y ≥  0

A: To maximise the equation Z=2x+3y, the equations -2x-y≥-10 and x+3y≥6 are to be graphed and shaded.…

Q: Solve min x1-x2-2x3 problem by means of Lagrange multipliers under the constraints of x1+x2+x3=5 and…

A: To determine maxima and minima of the function with respect to some constraints then follow as Find…

Q: A company needs 450,000 items per year. It costs the company $2,160 to prepare a production run of…

A: This question is based on the concept of minimizing the production and inventory/Storage costs at a…

Q: 4. The cost of producing x electronic games is given by C(x)= 1080 + 42x + 0.3x² dollars. Find the…

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Q: A farmer wishers to fence off three identical adjoining rectangular pens, each with 300 square feet…

A: Given, Cost of the fence of outer boundary of the pens = $3 per foot Cost of the fence of two…

Q: A company needs 300,000 items per year. It costs the company $1,440 to prepare a production run of…

A: It is given thatA company needs 300,000 items per year.It costs the company$1,440 to prepare a…

Q: 9. Maximize subject to 2x + 7x2 -2x, + x2S-4 X - 2x S-4 and x 2 0, x2 2 0.

A: 9 Given Maximize Z=2x1+7x2 Subject to −2x1+x2≤−4x1−2x2≤−4 And x1≥0, x2≥0 Solve equation −2x1+x2=−4…

Q: minimize c= -x+2y subject to y or equal to 4 x> or equal to 6 x+ y < or equal to 16

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Q: A rectangular field with one side along a river is to be fenced. Suppose that no fence is needed…

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Q: Maximize p = 8x + 6y subject to x + y 0 X 2 0, y > 0. p = (x, y) =

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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: max p=10x+12y subject to: 3x+2y+s1=1500 2x+3y+s2=1500 x+y+s3=600

A: Follow the steps and by following them reach to the answer.

Q: A company needs 250,000 items per year. It costs the company $1,200 to prepare a production run of…

A: Use economic lot size model and find the total cost of production- Let number of items produced in…

Q: A manufacturer has a steady annual demand for 10,850 cases of sugar. It costs $7 to store 1 case for…

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Q: Find solution using graphical method and then solve it by using LINGO Maximize Z = 15x1 + 10x2…

A: Given LPP problem is  Maximize Z=15x1+10x2 Subject to  4x1+6x2≤3603x1≤1805x2≤200x1,x2≥0 To solve the…

Q: A company needs 450,000 items per year. It costs the company $2,160 to prepare a production run of…

A:

Q: The production function for a firm is p(x, y) = 96x"y"", where x and y are the number of units of…

A: We will use Lagranges multiplier method to find optimal solution  To maximize/ minimize f(x,y,z)…

Q: Maximize P = 2x + 6y subject to x + 2y s 8 2x + ys 10 x, y 2 )

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Q: 2. Minimize: Z 20X1 + 10X2 + 80X3 %3D Subject to: X1 + X2 + X3 > 6 2X1 + 4X2 + X3 = 20 2X1 + X2 < 5…

A: We have to find the solution to the given problem.