For the given simplex tableau, (a) list the basic and the nonbasic variables, (b) find the basic feasible solutiondetermined by setting the nonbasic variables equal to 0, and (c) decide whether this is a maximum solution.x1 X2 X3 s4 S20 240 16426 -235 -1 -216(a) What are the basic variables?(Use a comma to separate answers as needed.)What are the nonbasic variables?(Use a comma to separate answers as needed.)N OOE11l0en (b) Find the basic feasible solution by setting the nonbasic variables equal to 0.x2 = x3 = s4 = $2 =z=]X1(c) Is this solution a maximum?O YesNo

Given- The simplex tableau To find- List the basic and nonbasic variables. Find the basic…

Answered: For the given simplex tableau, (a) list…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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For a certain company, the cost for producing a items is 40x + 300 and the revenue for selling x items is 80x – 0.5x². The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit! Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.) Part b: Find two values of that will create a profit of $50. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x – 1). The order of the list does not matter. To enter va , type sqrt(a).
2.) The Aitken Skateboard Company makes custom skateboards. They have figured out that their profit can be modeled by the equation: P = -2b? + 14b – 20 where b is the number of skateboards produced (in thousands >so for example 1,000 skateboards would be plugged in as 1) and P is the company's profit (in hundreds of thousands of dollars). • How many skateboards should they produce to maximize their profit? What is their max profit? Explain how you found that value. • How many skateboards should they produce to make zero profit? (Known as the break even point). Explain how you found that value. What is the companies ' profit if they produce 3,000 skateboards? 4,500 skateboards? Explain how you found those values.
A rancher has 260 meters of fence with which to enclose three sides of a rectangular meadow (the fourth side is a cliff wall and will not require fencing). Find the dimensions of the meadow with the largest possible area. (For the purpose of this problem, the width will be the smaller dimension (needing two sides); the length with be the longer dimension (needing one side).) length = meters width= meters What is the largest area possible for this meadow? area = meters-squared Enter your answers as numbers. If necessary, round to the nearest hundredths.
(b) To find the number of shoes, a company should manufacture per day to optimally use their machine and assembly line. One needs to solve the following set of equations. The unknowns are the number for men, X1, women, x2, teenagers, x3, and infants, x4. 10x1 – x2 + 2x3 = 6 —х1 + 11х — хз+ 3x, 3D 25 2x1 – x2 + 10xX3 – X4 = -11 Зx2 — хз + 8хд 3D 15 Find approximate solutions to x1, x2, X3, and x4. Starting with x = (0, 0, 0, 0)" and iterating until ||x(*) – x*-)|. < 10-3 ||x(k) || .
Simplify and state any restrictions on the variable. v²-2y-8 a) 2y²-8y y²-4 y-2 b) 2x+1 (x-2)² (x-2)
Solve the LPP using Simplex method: Max2 a3メ、+5x2 Subject to 2X2 12 3xi+2Xg<18
Find the optimal solution by simplex method 3 X, - 150x, + 1 Max Z X; - 6X4 50 s/t 25x, - 600x, – 4x, + 900x, s 0 25x, - 4500x, - Xz + 150x4 3 0 Xz 3 1 uhere x;¿ O
I need an answer in a very short time
Solve for the optimal solution using the Simplex methodology: max z = 5x, +4x, subject to бх, + 4х, <24 X +2x, <6 Xz - X, <1 X, < 2 X,, X, 2 0
Could someone help me with part C of this question? I have everything else right, I’m just confused on this part. Thanks!
(9x - 2x - 4) - 2(3x - 1)(x+ 1) = ax² + bx+ c, where a, b, and c are constants. If the equation above is satisfied for all values of x, what are the values of a, b , and c? a = b = C =
Q2. By using simplex method, maximise f = 2x, +3x, subjected to: 5x, +3x, <105 Зх, + 6х, < 126

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