max z = 2x + 8y s.t Зх + 9y < 45 2х + у 2 12 х, у 20

Q: Linear Programming Let (P) denote the linear programming problem min I1 + ar2 s.t. 2x1 + 5x3 6 + 5x3…

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Q: 3. Let X = {(1) (1) (1) ()}. a) Show that X spans R³. b) Explain why X is not a basis for R³. c)…

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Q: 3.A company produces 2 products in 2 assembly lines. Assembly line 1 has 100 available hours and…

A: Assembly line 1 has time =100 hours assembly line 2 has time =42 hours product 1 consider as x and…

Q: 1. A waiting line system is also known as a system. A. call center B. customer fulfillment

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Exercise 1 Plot the following feasible region in the plane 2x1 + 3x2 ≤ 6 -2x1 + x₂ ≤ 2 x1 - 2x₂ ≤ 0…

A: As per the question we are given the fesible region for an optimization problem which we have to…

Q: 2. Convert the following problem to standard form and Solve: Minimize x + 2y + 3z 2≤x+y≤3 subject to…

A: The given Linear Programming Problem is: Minimize x+2y+3z Subject to 2≤x+y≤34≤x+z≤5x, y, z≥0 To Do:…

Q: Maximize P= 5x1 +2X2 -X3 X1 +X2- X3 53 2x, +4x2 + 3x, s9 subject to X1, X2, Xg 20 Use the simplex…

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Q: Give an example of Linear Programming Simplex Method that is connected to business environment

A: We will give an example of a Linear Programming Simplex Method.

Q: 8. Solve the following LP algebraically. a. Max Z= 150X+ 160Y subject to: X+Y 20 Y>15 X, Y>0

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Q: Nutrition Rut Ine. makes dog food eut of chicken and grain. Chicken has 10 grams of protein and 5…

A: Let us denote the number of ounces of chicken by x and the number of ounces of grain by y.  Now, it…

Q: MAX Z = 9X, +7 X2 UB TO: 2 X1 + 4X2 <40 X1 +3X2 <30 X1 , X220

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Q: 9.Moore's meat packaging produces a hotdog mixture in 1000 pound batches. The mixture consists of 2…

A: Let x1 be the lb of chicken and x2 be the lb of beef. Given that the cost of chicken will be $3 and…

Q: Find x1 20 and x2 20 such that X1 + X2 < 10 5x1 + 2x2 < 20 X1 + 2x2< 36 and z = x1 + 3x2 is…

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Q: The Beaver Creek Pottery Company maximize Z = 40x, + 50x2 Products: Bowl Mug Profit per unit: 40 50…

A: Let x1 and x2 denotes the number of bowls and mugs produces. Use graphical method to solve the LPP.…

Q: Directions: Answer the following Linear Programing Problems using the simplex method. 1. Suppose a…

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

Q: The Mill Mountain Coffee Shop blends coffee on the premises for its customers. It sells three basic…

A: xij = lbs of coffee i used in blend j per week,where i = b(brazilian) , o  (mocha) , c  (colombian)…

Q: Chapter 7: Linear Programming 1. A company uses sedans and minivans to produce custom vehicles for…

A: To Show : the answer as a linear inequality and draw the graph and shade the feasible region.

Q: Suppose an organisation is manufacturing two products P¡and P2. The profit per tonne of the two…

A: Given that Profit/tonne Product 1 Rs. 50  Product 2 Rs. 60 Total available Machine hours/ weeks…

Q: The company does not want to spend more than $800,000 on advertising. It further requires that (1)…

A: Let y1, y2, y3, y4 be the number of advertising units bought in day time television, prime time…

Q: The Vandelay furniture company makes bookshelves and tables. Consider the following Linear…

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Q: 1. Show & Sell can advertise its products on local radio and television (TV). The advertising budget…

A: according to question, we have to advertise on radio at least twice as much as on TV. let number of…

Q: 7. What will happen if we add the constraint: (a) x₁ + x₂ + x3 ≤ 9 (b) 2x1 + x3 ≤ 6

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Q: The Brady Bunch family owns 410 acres of farmland on which they grow corn and tobacco. Each acre of…

A: consider x for grow corn and y for tobacco according to given condition x+y≤410 105x+210y≤52500…

Q: 9. Moore's meat packaging produces a hotdog mixture in 1000 pound batches. The mixture consists of 2…

A: Solution : Let x1 be no. of mixture of chicken and x2 be no. of mixture of beef.According to…

Q: Find the unit direction vector of greatest decrease of f at xo = [0 - 1 1]' and evaluate the…

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Q: Unit of materials units of labor selling price 12X12 1x₂ X4 max Xs X₁ 2. transform Using slack…

A: We will solve the linear programming problem using the simplex method.

Q: Let x₁ be the number of machine part I X₂ be the number of machine part II Objective Function: Max P…

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Q: The Old English Metal Crafters Company makes brass trays and buckets. The number of trays and…

A: We have,  Max Z=6x1+10x2 Subject to x1+4x2≤902x1+2x2≤60x1,x2≥0 Since both constraints are of '≤'…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: