QUESTION SIXAIWrite the dual ofthe following LP problemMinimize Z = 3x, - 2x, + 4x3Subject to the constraints3x, + 5x, + 4x 276x, + x, + 3x, 2 47x, - 2x, -x, S 10X1- 2x, + 5x, 2 34x, + 7x, - 2x, 22B) Bolve the following LP problemMaximize Z = 650x, + 700x, + 225x, + 250x,Subject to the constraints700x, +850x, + 300x, + 350x, S 1200550x, +550x, + 150x, + 200x, < 700400x, + 350x, + 100x, < 400x, + x2 21-x3 + x,S1X1, X2, X31 X4 2 0; x,X2 Xg. X, integer

MIN Z = 3x1 - 2x2 + 4x3 Subject to 3x1 + 5x2 + 4x3 ≥ 7 6x1 + x2 + 3x3 ≥ 4 7x1 - 2x2 - x3 ≤ 10 x1 -…

Answered: QUESTION SIX AWrite the dual ofthe…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Question 2 A farmer in the Blue Mountains area of Jamaica wants to decide on the crop to plant next season. He wants to plant either ganja or coffee for export to the USA but need some help. He knows that if he plants ganja and the weather in the USA is predominantly cold he earns $10,000(US per month. If the weather is warm he earns $16,000. If he plants coffee and the weather is cold he earns 13,000 and if the weather is warm he earns $14000. In 40% of the years, the weather was cold and in 60 % the weather was warm. For $600, he could buy an expert weather forecast from CWD consulting. States of Nature with Profits ($) Does not include forecast cost Decision Warm Cold weather (C) Alternatives weather(W) Ganja $16,000 $10,000 Coffee $14,000 $13000 Prior Probabilities P(W) = 0.60 P(C) = .40 Conditional probability for a given state of nature where forecasts are either Good (G) or bad (B): That is: P (G|W) = 0.80; P (B|W) = 0.20; P (G|C) = 0.10; P (B|C) = 0.90 After vou have computed…
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Judd 57 Joel Gus Tim $3 2. 1 $5 $2 First film Second film Third film Fourth film Fifth film 1. 0. 0. 5. 2. 1 a. Within the dorm room, is Ux showing of a movie a public good? Why or why not? b. W itcosts S5 to rent a movic how many movies should the mommates rent to maximize tothl surplus? c. li they choose the optimal number from part (b)and then split the cost of renting the movies equally, how much surplus does.cach person obtain from wakhing the me d. s there any way tospl ost.tormsre that everyone benefits? What practical problems does this solution reise? Suppose they agmeinarancetochoxxe the efficient number and to split the cosr of the movies equally. When fudd is asked his wiling ness to pay, will he have an incentive to toll the Iruth? If so, why? f not. what will he he tempted (1అ) బ* E What does this example teach you abou the optimal provision of public goods? yol public gods?
21. United Express Service (UES) uses large quantities of packaging materials at its four distribution hubs. After screening potential suppliers, UES identified six vendors that can provide packaging materials that will satisfy its quality standards. UES asked each of the six vendors to submit bids to satisfy annual demand at each of its four distribution hubs over the next year. The following table lists the bids received (in thousands of dollars). UES wants to ensure that each of the distribution hubs is serviced by a different vendor. Which bids should UES accept, and which vendors should UES select to supply each distribution hub? Distribution Hub Bidder 1 2 3 Martin Products 190 175 125 230 Schmidt Materials 220 150 210 235 155 Miller Containers 225 135 260 D&J Burns 170 185 190 280 Larbes Furnishings Lawler Depot 240 260 220 190 140 130 270 200
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128 A company has a factory that is designed so that it is most efficient (average unit cost is minimized) when producing 28,500 units of output each month. However, it has an absolute maximum output capability of 35,000 units per month, and can produce as little as 7,000 units per month without corporate headquarters shifting production to another plant. If the factory produces 18,900 units in October, what is the capacity utilization rate in October for this factory? Note: Round your answer to 1 decimal place.
Decision Under Uncertainty The digital television service company TV-más is facing a significant problem of customer loss in recent months, in particular, customers of the Home plan, which consists of an annual subscription whose value is $200 and that allows you to watch more than 40 high definition television channels. The company has prepared a list of clients who have decided that once the subscription has ended, they will not contract the service again, since, among several reasons , they maintain that the company does not treat its clients well. Considering customer opinions, the company has thought of a plan so that customers who have decided not to renew can reverse their decision and subscribe to the service for one more year. The plan consists of giving a gift to customers who have decided not to renew in order to show concern for them. The gift consists of a set of kitchen pots, with the company logo, which costs the company $50. According to information from a pilot plan…
Q3. Complete the following iteration tableau of Maximization problem of LPP and comment on the nature of the optimal solution. 5 Basic variables X1 Cbi X2 S1 S2 $3 Solution 1 -2 s1 S2 10 5 X2 -1 1 Zi 1.
Types of problem are: А. occurred and available problem В. presented and constructed problem C. make and settle problem D. others and solve problem
L.P. Model: Minimize Subject to: Z = 15X+12Y 7X+11Y288 (C₂) (C₂) 16X+4Y280 X,Y 20 On the graph on right, constraints, C, and C₂ have been drawn. Using the point drawing tool, plot all the corner points for the feasible area. 24- 22- 20- 18- 16- 14- 12- 10 8- 64 4- 2- -N 10 12 14 16 18 20 22 24 X C G

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