Show all work and steps.

Group Project 1 Fall 2021

1. Use the simplex method to solve the following showing all work. Write the problem that you put into the computer program. In the end, answer the question with a sentence.

A Company operates two mines, each of which produces three grades of ore. The West Summit mine can produce 2 tons of low-grade ore, 3 tons of medium-grade ore, and 1 ton of high-grade ore per hour of operation. The Northridge mine can produce 2 tons of low-grade ore, 1 ton of medium-grade, and 2 tons of high-grade ore per hour of operation. To satisfy shipping orders, the company needs at least 100 tons of low-grade ore, 60 tons of medium-grade ore, and 80 tons of high-grade ore. If it costs $400 per hour to operate the West Summit mine and $600 per hour to operate the Northridge mine, how many hours should each mine be operated to satisfy shipping orders and minimize cost? What is the minimum cost?