Question 3.Consider the following linear program:maximize: 4 + 2x2 + 3x3s.t.x1 – 2x2 +3r3 < 12- r1 +3r2 + x3 < 8r1, 12, L3 > 0Solve the linear program by the Simplex Method. You should show all working steps (each pivoting opera-tions) and explicate the selection of basic and non-basic variables.

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Answered: Question 3. Consider the following…

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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Please solve part 1.
Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p = 130-0.75x. It also determines that the total cost of producing x suits is given by C(x)=3000+ 0,5x² a) Find the total revenue, R(x). b) Find the total profit, P(x). c) How many suits must the company produce and sell in order to maximize profit? d) What is the maximum profit? e) What price per suit must be charged in order to maximize profit?
Hi, please help me solve this problem consisting of linear programming. Thanks
A couple plans to save for their child's college education. What principal must be deposited by the parents when their child is born to have $38,000 when the child reaches the age of 18? Assume the money earns 8% interest compounded quarterly. (Round your answer to two decimal places.)
(2-T) ABC is a small manufacturer of two types of popular all-terrain snow skis, the J and the D models. The manufacturing process consists of two principal departments: fabrication and finishing. The fabrication department has 12 skilled workers, each of whom works 7 hours per day. The finishing department has 3 workers, who also work a 7-hour shift. Each pair of J skis require 3.5 labor hours in the fabricating department and 1 labor hour in finishing. The D model requires 4 labor hours in fabricating and 1.5 labor hours in finishing. The company operates 5 days a week. ABC makes a net profit of $50 on the J model and $65 on the D model. In anticipation of the next ski-sale season, ABC must plan its production of these two models. Because of the popularity of its products and limited production capacity, its products are in high demand, and ABC can sell all it can produce each season. The company anticipates selling at least twice as many D as J models. (Use Geogebra) Write your LP…
#3
Follow the steps in the diagram "Simplex Method Summarized" in Section 6-2 in the textbook to maximize z = 2x, + 3x, + 2x,, subject to the system 2x, + х, + 2х, S 13 X, + x, - 3x, < 8 x 2 0, x, 2 0, x, 2 0
Maximize: z= 2x, + X2 Use the simplex method to solve the linear programming problem. X1 + 4x2 s 12 2x, + 6x2 s 4 subject to: X1 + X2 s 4 with x, 20, x, 2 0. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The maximum is when x, = X2 S1 S, = and s3 = O B. There is no maximum solution to this linear programming problem.

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