United Aluminum Company of Cincinnati produces three grades (high, medium, and low) of aluminum at two mills. Each mill has a different production capacity (in tons per day) for each grade, as follows:

The company has contracted with a manufacturing firm to supply at least 12 tons of high-grade aluminum, 8 tons of medium-grade aluminum, and 5 tons of low-grade aluminum. It costs United $6,000 per day to operate mill 1 and $7,000 per day to operate mill 2.

The company wants to know the number of days to operate each mill to meet the contract at the minimum cost.

Formulate a linear programming model for this problem.

Transcribed Image Text:

Mill Aluminum Grade 1 2 High 6 2 Medium 2 2 Low 4 10