A) 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 shown below. 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 in order to meet the contract at the minimum cost. Formulate a linear programming model for this problem. Define x₁ as the number of operation days for mill 1, x2 as the number of operation days for mill 2, and Z as the total cost. Which of the following model formulations is correct? Aluminum Grade High Medium Low 2x1+2x2>=8 4x1+10x2>=5 x1, x2>=0 1 Group of answer choices Maximize Z=6000x1+7000x2 s.t. 6x1+2x2>=12 2x1+2x2<=8 4x1+10x2<=5 x1, x2>=0 6 2 4 Mill Maximize Z=6000x1+7000x2 s.t. 6x1+2x2<=12 2x1+2x2<=8 4x1+10x2<=5 x1, x2>=0 Minimize Z=6000x1+7000x2 s.t. 6x1+2x2<=12 Minimize Z=6000x1+7000x2 s.t. 6x1+2x2>=12 2x1+2x2>=8 4x1+10x2>=5 x1, x2>=0 2 2 2 10

A) 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 shown below. 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 in order to meet the contract at the minimum cost. Formulate a linear programming model for this problem. Define x₁ as the number of operation days for mill 1, x2 as the number of operation days for mill 2, and Z as the total cost. Which of the following model formulations is correct? Aluminum Grade High Medium Low 2x1+2x2>=8 4x1+10x2>=5 x1, x2>=0 1 Group of answer choices Maximize Z=6000x1+7000x2 s.t. 6x1+2x2>=12 2x1+2x2<=8 4x1+10x2<=5 x1, x2>=0 6 2 4 Mill Maximize Z=6000x1+7000x2 s.t. 6x1+2x2<=12 2x1+2x2<=8 4x1+10x2<=5 x1, x2>=0 Minimize Z=6000x1+7000x2 s.t. 6x1+2x2<=12 Minimize Z=6000x1+7000x2 s.t. 6x1+2x2>=12 2x1+2x2>=8 4x1+10x2>=5 x1, x2>=0 2 2 2 10

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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