What is the optimal cost of the special ingredients

Assignment Help Operation Research
Reference no: EM1358855

An alcohol manufacturer specializes in 3 different drinks, called Xena, Yolanda, and Zorgon.  Each of these drinks has an ingredient unique to it, but these also share 3 ingredients in common.

1) Each keg of Xenas requires at least 3 gallons of special ingredient A, and must contain at least 3 gallons of special ingredient B, and must contain at least 6 gallons of special ingredient C.  Plus each keg must also contain exactly 25 gallons in total of across all 3 of these special ingredients.

2) Each keg of Yolandas requires at least 4 gallons of special ingredient A, and must contain at least 3 gallons of special ingredient B, and must contain at least 2 gallons of special ingredient C.  Plus each keg must also contain exactly 18 gallons in total of across all 3 of these special ingredients.

3) Each keg of Zorgons requires at least 8 gallons of special ingredient A, and must contain at least 9 gallons of special ingredient B, and must contain at least 8 gallons of special ingredient C.  Plus each keg must also contain exactly 30 gallons in total of across all 3 of these special ingredients.

The mixture of these special ingredients cannot be dominated by any one particular ingredient.  Specifically, in each keg, no one individual special ingredient can have more than double the amount of any other special ingredient.

The manufacturer must make 1 keg of each of the three drinks, but must also attempt to reduce the total cost of the special ingredients.

·         1 gallon of special ingredient A costs the manufacturer $18.

·         1 gallon of special ingredient B costs the manufacturer $20.

·         1 gallon of special ingredient C costs the manufacturer $15.

HINT:  Note to solve this problem, you will need to have 9 variables (3 for Xena, 3 for Yolanda, and 3 for Zorgon; each of these 3 corresponding to the number of gallons of ingredient A, B, and C they each require).

Questions:

a) What is the optimal amount of each special ingredient for each drink?

b) What is the optimal cost of the special ingredients in total?

Reference no: EM1358855

Questions Cloud

Destination business : Destination Business - Have you ever heard of a destination business? It is one that people come to no matter the location.
Illustrate what is the expected value of your earnings : Illustrate what is the expected value of your earnings from investing in General Motors stock.
Compute the amount needed to fund : Upon completion of her introductory finance course Marla lee was so pleased with the value of useful and interesting knowledge she gained that she convinced her parents,
Cognitive dissonance and employee motivation : Cognitive Dissonance and Employee Motivation What is cognitive dissonance? Who invented it? Give a business and at least one personal example of having used cognitive dissonance.
What is the optimal cost of the special ingredients : a) What is the optimal amount of each special ingredient for each drink? b) What is the optimal cost of the special ingredients in total?
Delirium and dementia : How would one differentiate between delirium and dementia? What methods would you use to assess the presence of each?
Illustrate what is the expected value of the future : Illustrate what is the expected value of the future share price? b. Sharon buys a ticket in a small lottery.
What will be the induced emf magnitude in the short coil : what will be the induced emf magnitude in the short coil. A 77.9 kg fireman slides down a 4.13 m pole by applying a frictional force of 343 N against the pole with his hands. If he slides from rest, how fast is he moving once he reaches the ground.
Detecting unethical practices at supplier faculty : Evaluate whether or not you believe a U.S.-based company outsourcing jobs to foreign markets is ethical. Support your position.

Reviews

Write a Review

 

Operation Research Questions & Answers

  How much revenue

How much of each product do you recommend be produced that you believe maximizes revenue?  How much revenue would be made if they followed your recommendation?

  Determine the quantity of exercise books

Determine the quantity of exercise books the university should order each time it makes an order in such a way as to minimise the total cost incurred.

  The problem of operating a warehouse

Consider the problem of operating a warehouse, by buying and selling the stock of a certain commodity, in order to maximize profit over four periods.

  Write a paper about executive summary

Write a paper about executive summary as the CIO of an organization.

  Cost of capital to assess its restaurant capital investments

Considering investing in Facial Laboratories. Assume that Facial is currently undergoing expansion and is not expected to modify its cash dividend while expanding for the next four years.

  Foundations of business analysis and operational research

The purpose of this assignment is for you to reflect on practical case studies and consider how these relate to the material covered in Foundations of Operational Research and Business Analysis.

  Control charts

Control Charts, Are the connection times normally distributed?  How many values are outliers?  Is the connection time in control or out of control?  Explain

  Analyse the role of different stakeholders in tourism

Critically analyse the role of different stakeholders in tourism planning and policy

  Maximizes revenue

How much of each product do you recommend be produced that you believe maximizes revenue?  How much revenue would be made if they followed your recommendation?

  Evaluate business value

How can internet technologies be involved in improving a process in one of the functions of business? Choose one example and evaluate its business value.

  Queuing

In a typical 8 hour work day, how much time in total will the cashier be idle?  How many customers on average are waiting in line to pay?

  Analyze an existing company for operation strategy

Analyze an existing company for Operation strategy and one under Supply Chain Strategy

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd