Optimizing Mineral Extraction: How Can Linear Programming Help?

[ama111]

Homework Statement

Blacktop refining extracts minerals from ore mined at two different sites in Montana. Each ton of ore type 1 contains 20% copper, 20% zinc, and 15% magnesium. Each ton of ore type 2 contains 30% copper, 25% zinc, and 10% magnesium. Ore type 1 costs 90$ per ton, while ore type 2 costs 120$ per ton. Blacktop would like to buy enough ore to extract alteast 8 tons of copper, 6 tons of zinc, and 5 tons of magnesium in the least costly manner.

Need help in the following tasks:
1. formulating an Linear Programming model
2. feasible region
3. finding optimal solution

any help would be very appreciated:)

 

[CompuChip]

Ama111, please read the forum rules before you post.
Not only have you not shown any attempt - have you even tried this yourself?
Then if you start bumping your thread after 90 minutes already, I don't feel inclined to help you at all. If you're in such a hurry, start your homework earlier.