# Linear Programming question

## 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:)