1_If the requirement isgreater than available intransport matters, we add animaginary row with zerovalues.CorrectError2- In the issue ofappointment, the sum of thevalues of the basic variablesof the row is equal to thevalue available for the grade.CorrectError3_The method of mobilequarantine is one of theprimary solution methods inresolving transport issues.CorrectError

As per our guidelines we are supposed to solve only one question that is the first one. For the…

Answered: 1_If the requirement is greater than…

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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In order to ensure optimal health (and thus accurate test results), a lab technician needs to feed the rabbits a daily diet containing a minimum of 24 grams (g) of fat, 36 g of carbohydrates, and 4 g of protein. But the rabbits should be fed no more than five ounces of food a day.Rather than order rabbit food that is custom-blended, it is cheaper to order Food X and Food Y, and blend them for an optimal mix. Food X contains 8 g of fat, 12 g of carbohydrates, and 2 g of protein per ounce, and costs $0.20 per ounce. Food Y contains 12 g of fat, 12 g of carbohydrates, and 1 g of protein per ounce, at a cost of $0.30 per ounce. What is the optimal blend?
Why we use the minimum ratio test to find the column in the DUAL simplex method, what will happen if we break this rule?
In order to ensure optimal health (and thus accurate test results), a lab technician needs to feed the rabbits a daily diet containing a minimum of 24 grams (g) of fat, 36 g of carbohydrates, and 4 g of protein. But the rabbits should be fed no more than five ounces of food a day.Rather than order rabbit food that is custom‐blended, it is cheaper to order Food X and Food Y, and blend them for an optimal mix. Food X contains 8 g of fat, 12 g of carbohydrates, and 2 g of protein per ounce, and costs $0.20 per ounce. Food Y contains 12 g of fat, 12 g of carbohydrates, and 1 g of protein per ounce, at a cost of $0.30 per ounce. What is the optimal blend? a. Choose the unknowns, i.e. variables. Statewhat they are so you know exactly whatyou are looking for.b. Write your OPTIMIZATION EQUATION. c. Write the constraints as a system ofinequalities, usually there are several.d. Graph the system and identify thefeasibility region. e. Identify the corners of the feasibilityregion, which will be…
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…
7. Use Lagrange multipliers to give an alternate solution. Find two positive numbers whose product is 100 and whose sum is a minimum.
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A rectangular vault is to be constructed on an existing floor at a bank so as to enclose avolume of 485 cubic meters. The cost per square meter of materials is $2,000 for the ceiling,$9,000 for the wall with the door and $3,000 for the other three walls. The minimized costof the vault rounded to the nearest $1,000 dollars is:a. $964,000b. $971,000c. $982,000d. $993,000
Solve min x1-x2-2x3 problem by means of Lagrange multipliers under the constraints of x1+x2+x3=5 and x12+ x22 =4. Explain what the values of Lagrange multipliers mean?
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1_If the requirement is greater than available in transport matters, we add an imaginary row with zero values. Correct Error