# Blacktop Refining extracts minerals from ore mined at two different sites in Montana. Each ton of ore type 1 contains

## Question:

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 and ore type 2 costs $120 per ton. Blacktop would like to buy enough ore to extract at least 8 tons of copper, 6 tons of zinc, and 5 tons of magnesium in the least costly manner.

a. Formulate an LP model for this problem.

b. Sketch the feasible region for this problem.

c. Find the optimal solution.

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## Step by Step Answer:

**Related Book For**

## Spreadsheet Modeling & Decision Analysis A Practical Introduction to Management Science

**ISBN:** 978-0324656633

5th edition

**Authors:** Cliff T. Ragsdale

**Question Details**

Chapter #

**2**Section: Questions

Problem: 14

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