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.

User Account

All Pages