Maximize 2x1 + x2 – 3r3 + 5x4 subject to xi + 2r2 + 2r3 + 4x4 < 40 2x1 – r2 + 13 + 2x4 < 8 4x1 – 2x2 + 13 – 14 < 10 21, 12, 23, 24 20

Q: A company manufactures running shoes and basketball shoes. The total revenue (in thousands of…

A: We use partial differentiation technique to maximize the revenue. The solution is explained below.

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

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Q: Maximize P= 7x+9y Subject to: 2x+ y12 x, y 20

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Q: 1. Maximize : x1+5x2– x3 xị +x2 2 18 2x1 +x2 +x3 < 40 X1 +x3 2 20

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

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: Minimize p = -2x + 4y subject to ( 2x + 3y 2 30, x - y 0, y > 0.

A: Given the LPP problem:                                  Min.p=-2x+4y     2x+3y≥30       x-y≤15…

Q: Use Simplex method to Maximize Ζ = 4x1 +10x2 Subject to  2x1 + x2 ≤ 50                    2x1 +…

A: Solution

Q: Maximize p = 6x + y + 3z subject to 3x + y < 15 2x + 2y + 2z < 20 x 2 0, y 2 0, z 2 0.

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Q: minimize Z = 8x, + 2x2 subject to 2x, - 6x2 s 12 5x1 + 4x2 2 40 X1 + 2r, 2 12 X2 S 6 X1, X2 0

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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: minimize Z = 8x +212 subject to 2r, - 6x, s 12 5x, + 4x2 40 X1 + 2r, 12 X2 S 6 X1, X2 20

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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: Minimize Z= 8x, + 6x, Subject to: 3x, + 4x, 2 6 5x, + 2x, < 10 x, + 4x, 5 4 x, y 2 0

A: We will find out the required solution.

Q: Maximize P = 10x1+ 2x2 subject to X1+ x2 0

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Q: Maximize Z=150x1+125x2+95x3 Subject to Assembly Inspection Packaging D 3.5x1 +2.75x2 +1.25x3 <= 150…

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Q: A company manufactures two types of bicycles, a racing bicycle and a mountain bicycle. The total…

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Q: Maximize f(x₁, x₂) = x₁ + x2 use of simplex method and it subject to: X₁ + 2x₂ ≤ 10 2x₁ + x₂ ≤ 10 x₂…

A: We have given LPP problem, max fx1, x2 = x1+x2x1+2x2≤102x1+x2≤10x2 ≤ 4x1, x2 ≥ 0 We need to use…

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: Maximize Z = 20x1 + 8x2 subject to 16x1 + 8x2 0 %3D

A:

Q: Maximize Z = 2x1 + x2; Subject to x2 ≤ 10 2x1 + 5x2 ≤ 60 x1 + x2 ≤ 18 3x1 + x2 ≤ 44 and x1 ≥ 0, x2 ≥…

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

A: We can use the graphical method to find the maximum value of P for this linear programming problem.

Q: Maximize P = 24x1+ 14x2 0 20x1 + 3x2 subject to

A:

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: Minimize -z=-8 X1 – 10 X2 -7X3 Subject to XI +3 X2+ 2X3 < 10 -XI -5 X2 - X32 -8 XI, X2, X3 20

A:

Q: Maximize P = 4X, + 2X2 Subject to X1 + 2X2 <6 (machine time) 2X1 + 2X2 <8 (labor) where X1, X2 20

A: Solution is as:

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: Maximize z=14x, + 3x2 subject to: 7x, + 3x, 58 X1 +3x, 54 X, 20, X2 2 0. with

A: We will be using the simplex method to solve the following system.

Q: Maximize Z = 2x1 + x2 – 2x3 - Subject to -2xı + x2 + x3 2 -2 - x1 + x2 - x3 2 –4 X1 +x2 + 2x356…

A: Given: Maximize Z=2x1+x2-2x3 Subject to constraints -2x1+x2+x3≥-2        ......(A) -x1+x2-x3≥-4…

Q: Maximize Z= 40x1 + 50x2 10x1+ x2>=100 5x1 + 15x2>=500 х1, х2>-0

A:

Q: Minimize 8x, +10x, +7x, +6x,+11x, +9x6 Subject to 12.x, + 9x, +25x, +20x; +17x, +13x, 2 60 35x,…

A: We solve this LPP by dual simplex method.

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: Find solution using BigM method MAX Z = 6x1 + 4x2 subject to x1 + 2x2 = 0

A: We have,

Q: 3. yA -12- -10- 8- 6- 4- 2- -2 -2- -4- -6- -8- -10- On the grid, label the region that satisfies all…

A: We need to plot region of given inequalities.

Q: 18. Maximize P = 4x – y subject to 2x – 3y 2 -6 2x + y < 6 x + 3y 2 3

A:

Q: Maximize p = x + y 2x + 3y 0, y > 0} VI VI VI

A: Given Data: Equation 1: 2x+3y≤60 Equation 2: 2x+y≤28 Equation 3: 4x+y≤48 And x≥0 x≥0 Maximize: p=x+y…

Q: Minimize Bubject tos * +2x2+3x3-12 0 X2+ 2xg +3x4-4 0 by direct substitution method.

A: Given, fx=x1-x22+x2-x32+x3-x44---1 subject to the constraints x1+2x2+3x3-12=0…

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: 2. Maximize : xı+5x2+2x3 X1 +3x2 +x3 < 30 2x1 +x2 2 20 2x1 +2x2 +3xz 2 50

A: Question 2)

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

A:

Q: Minimize z = x, + 2x2 Subject to 2x, + 4x, s 160 X1 – Xz = 30 X12 10 X1, X2 2 0

A:

Q: 3. Minimize: Z = 40X₁ + 80X2 + 50X3 Subject to: X₁ + 2X₂ + 3X3 ≥ 18 X₁ + 4X₂ + X3 ≥ 60 2Y 6Y A. Y…

A: Introduction: The simplex method is a method for testing vertices as potential solutions in a…

Q: Maximize 14x – x^2 + 6y – y^2 + 7 subject to x + y <= 2, x + 2y <= 3.

A: Maximize z=14x-x2+6y-y2+7 Subject to, x+y≤2x+2y≤3 The graph is,

Q: Maximize z = 14x, + 3x, +3x2 subject to: 7x, +3x, s8 2

A:

Q: Minimize : 6y+4y2+2y3 2yı +2y2 +y3 2 2 yi +3y2 +2y3 2 3 Yi +y2 +2y3 2 4

A: For convenience, we take y_1=x_1, y_2=x_2 and y_3=x_3.

Q: 5x + 12x2 XI - x2 3 -XI + 2x2 < -4 10. Maximize subject to and xi 2 0, x2 2 0.

A:

Q: Minimize : 20yı + 12y2 + 40y3 Yi +y2+5y3 2 20 2yı +y2 +y3 2 30 4.

A: The LPP is  MIN Z = 20y1 + 12y2 + 40y3subject toy1 + y2 + 45y3 &gt;= 202y1 + y2 + y3 &gt;= 30and…

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.

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.