Linear Optimization - The Schutzberg Brewery Problem
Not what you're looking for?
6. Making Beer. The Schutzberg Brewery has received an order for 1,500 gallons of 3-percent beer (that is, 3 percent alcoholic content). This is a custom order because Schutzberg does not produce a 3-percent product. They do brew the following products.
Product Percent Alcohol Cost per Gallon
Free 0.25 0.55
Light 2.50 0.65
Amber 4.50 0.80
Dark 6.00 0.75
There are 500 gallons of each of these products on hand. Rather than brewing a 3-percent beer from scratch, the brewmaster has decided to mix existing stocks, perhaps with some water (0 percent alcoholic content), to satisfy this small order in the shortest possible time, hoping that the taste will be adequate. In case the taste is bad and he has to throw the mixture out, he would like to minimize the cost of the mix.
a. What are the components of the least-cost blend that will result in a 3-percent beer?
b. What is the total cost for the 100 gallons of product?
c. Use the pattern in (b) to trace the effects of increasing the requirement by 10 percent. How will the optimal mix change? How will the optimal cost change?
Purchase this Solution
Education
- MSc, Osmania University
- MSc, Indian Institute of Technology - Roorkee (I.I.T.-ROORKEE)
- BSc, Banaras Hindu University
Recent Feedback
- "Very fast turnaround. Excellent communication! Much appreciated!"
- "excellent"
- "excellent"
- "excellent work"
- "Fantastic..great solution and very well explained!!!!"
Purchase this Solution
Free BrainMass Quizzes
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Probability Quiz
Some questions on probability
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts