O Find the basic feasible solution following (T.M) by usingDID210D3D4Supply5 500SII1S23.1010 700S3104 800Demand400900300400a) North West - corner method.b) Least - Cost method.2.

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Answered: Find the basic feasible solution…

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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Assume that you are located at (A) which is New Orleans. Let Boston (B), Chicago (C) , Denver (D), and El Paso (E) represent four cities. Use the Brute Force Method to find the optimal solution to visiting each of the cities and returning home. Use the Nearest Neighbor Method to approximate the optimal solution. Identify how much money is being saved by using the optimal solution instead of the approximation.
2. Solve using Gauss Jordan Elimination Method. Compute also for x, y and z.
Use complementary slackness and the solution to its dual problem to find solution(s) to the primal LPP.
A rural county presently uses Asphalt A to pave its highways, but is considering using themore expensive Asphalt B (which is reported to be more durable). The two types of asphaltare tested using 200m test strips on five different two-lane highways. On each test strip, arandomly selected lane was paved with Asphalt A and the lane in the opposing direction waspaved with Asphalt B. It has been determined that it is more economical to use Asphalt B ifthe length of time before resurfacing is required (i.e. longevity) is at least 2.5 years longer onaverage than that of Asphalt A. Assume that the longevity of each type of asphalt is normally distributed. Using a 2% significance level and assuming that the data for the two types of asphalt at eachtest strip can be paired, determine if Asphalt B lasts at least 2.5 years longer than Asphalt Aon average. Location 1 2 3 4 5Asphalt A 11.2 9.0 10.7 11.4 8.5Asphalt B 18.8 11.7 19.9 19.0 13.4
Justify answer using complementary slackness and give optimal solution also to the dual aswell.
Where is the feasible region?
With the extra profits generated from the new customers, Jacobi is considering expanding his product range. He is interested in stocking a new type of motorcycle headset camera. To fit with current business plans, the new product would have to generate a minimum of 37.5% margin to be worthwhile. With that in mind, he hypothesises that customers will be willing to pay at least $350 for this product, which is the minimum sale price for it to be viable at the specified margin. To test if his belief is true, Jacobi hires a market researcher (you) to determine how much customers may be willing to pay for this product. You collect data from a sample of 100 motorcycle enthusiasts, all of whom resemble Jacobi’s usual clientele, and determine that the average amount people are willing to pay is $364, with a standard deviation of $35.Using this information, you conduct a hypothesis test at a 5% level of significance to check whether Jacobi’s belief is justified and to help him decide whether to…
With the extra profits generated from the new customers, Jacobi is considering expanding his product range. He is interested in stocking a new type of motorcycle headset camera. To fit with current business plans, the new product would have to generate a minimum of 37.5% margin to be worthwhile. With that in mind, he hypothesizes that customers will be willing to pay at least $350 for this product, which is the minimum sale price for it to be viable at the specified margin. To test if his belief is true, Jacobi hires a market researcher (you) to determine how much customers may be willing to pay for this product. You collect data from a sample of 100 motorcycle enthusiasts, all of whom resemble Jacobi’s usual clientele, and determine that the average amount people are willing to pay is $364, with a standard deviation of $35. Using this information, you conduct a hypothesis test at a 5% level of significance to check whether Jacobi’s belief is justified and to help him decide whether to…
Use complementary slackness to find solution(s) to the dual LPP.
Where are the feasible regions
a) The base chassis of a manufactured product is made up of numerous components. There can sometimes be differences in dimensions between components, requiring the partially assembled product to be sent to another department for extra fitting work because some components cannot be fitted in place. The majority of fitting problems are caused by two particular components (identified as B and F): the chances of a randomly chosen component of type B not fitting are 3.7%, and the chances of a randomly chosen component of type F not fitting are 2.8%. (i) Given that the problems with fitting these two components are independent of each other and that components are selected randomly for assembly on each base chassis, what is the probability that both components B and F will have problems fitting on a given chassis? ii) How likely is it that there will be problems fitting components B and F to a given chassis under the same assumptions? (b) (i) The probability distribution of the number of…
a) The base chassis of a manufactured product is made up of numerous components. There can sometimes be differences in dimensions between components, requiring the partially assembled product to be sent to another department for extra fitting work because some components cannot be fitted in place. The majority of fitting problems are caused by two particular components (identified as B and F): the chances of a randomly chosen component of type B not fitting are 3.7%, and the chances of a randomly chosen component of type F not fitting are 2.8%. (i) Given that the problems with fitting these two components are independent of each other and that components are selected randomly for assembly on each base chassis, what is the probability that both components B and F will have problems fitting on a given chassis? ii) How likely is it that there will be problems fitting components B and F to a given chassis under the same assumptions? (b) (i) The probability distribution of the number of…

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Find the basic feasible solution following (T.M) by using DI D2 10 D4 Supply 5 500 D3 S1 11 S2 3. 10 10 700 S3 10 4 800 Demand 400 900 300 400 a) North West- corner method. b) Least - Cost method. 4,