Use the dual simplex algorithm in order to find a solution if the constraint x1 <= 2 is added Consider the following linear program:2x1 + x2maxx1,x2 ERsubject toX1£1-2x1X1++9x2X2x2x2

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Answered: Use the dual simplex algorithm in order…

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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Solve the following linear optimization model using the Simplex Algorithm:Maximize z(x1, x2) = 3x1 + 2x2Subject to2x1 + 2x2 ≤ 82x1 + 1x2 ≤ 6x1, x2 ≥ 0
I Download O Info Page < of 4 ZOOM + 3. Use the Simplex method to find the optimal solution to the problem below. Advertising: A department store has up to $22,000 to spend on television advertising for an upcoming sale. All ads will be placed with one television station. A 30-second ad on daytime TV costs $1,500 and is viewed by 12,000 potential customers. A 30- second ad on prime-time TV costs $2,000 and is viewed by 15,000 potential customers. And a 30-second ad on late-night TV costs $1,000 and is viewed by 10,000 potential customers. If the total number of ads placed cannot exceed 12, how many ads should be placed in each time period in order to maximize the number of potential customers? How many potential customers will see the ads? Please show me at least the following work: all decision variables, x1,x2...etc. and indicate what each variable represents - the objective function equation - the initial simplex matrix - the final solution matrix - the answers to the two questions…
One possible solution method for the machine-to-job assignment problem is the following heuristic procedure. Assign the machine to job 1 that completesjob 1 quickest. Then assign the machine to job 2 that, among all machines that still have some capacity, com-pletes job 2 quickest. Keep going until a machine has been assigned to all jobs. Does this heuristic procedureyield the optimal solution for this problem? If it does,see whether you can change the job times so that theheuristic does not yield the optimal solution.
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