Data Driven Decision Making/Business Decision Modelling. TB2 Assignment 1
Practical Exercise – Linear Programming
A petroleum company produces three grades of motor oil – super, premium and extra – from three components. The company wants to determine the optimal mix of the three components in each grade of motor oil that will maximise profit. The maximum quantities available of each component and their cost per barrel are as follows:
Table 1
Component |
Maximum Barrels
Available/Day |
Cost/Barrel £ |
1
2 3 |
4,500
2,700 3,500 |
12
10 14 |
To ensure the appropriate blend, each grade has certain general specifications. Each grade must have a minimum amount of component 1 plus a combination of other components, as follows:
Table 2
Grade |
Component
Specification |
Selling
Price/Barrel £ |
Super
Premium
Extra |
At least 50% of 1
Not more than 30% of 2 At least 40% of 1 Not more than 25% of 3 At least 60% of 1 At least 10% of 2 |
23
20
18 |
The company wants to produce at least 3,000 barrels of each grade of motor oil.
TASK 1 (35 marks)
TASK 2 (25 Marks)
TASK 3 (20 marks)
TASK 4 (20 marks)
Instructions
,
Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.
You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.
Read moreEach paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.
Read moreThanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.
Read moreYour email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.
Read moreBy sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.
Read more
Recent Comments