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Tuesday, February 4, 2014

Quantitative

Assignment disassemble I Question 1 (18 points) unify atomic number 13 Company produces troika grades (high, medium, and low) of alumnimum at two loafs. severally poor boy has a different production ability (in hemorrhoid per twenty-four hours) for individually grade, as follows: |Aluminum grade | wedgeing machinery 1 |Mill 2 | |High |6 |2 | |Medium |2 |2 | |Low |4 |10 | The company has contract with a manufacturing flying to supply at least 12 slews of top-quality 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 endure the numbe r of days to operate each mill in order to meet the contract at the minimum cost. a. originate the linear programming sham for this difficulty and solve graphically. b. How very much extra (i.e. surplus) high-, medium-, and low-grade aluminum does the company produce at the optimum settlement? c. What would be the effect on the optimal solution if the cost of operate mill 1 change magnitude from $6,000 to $7,500 per day? d. What would be the effect on the optimal solution obtained in part c, if the company could supply only 10 tons of high-grade aluminum? e. In the original poser (the one you hypothesise in part a): what is the shadow charge for each of the three aluminum grades? f. In the original model: what is the sensitivity arena for the objective function coefficients? Question 2 (16 points) Gilbert Moss and Angela Pasaic fagged several summers during their college years working at archeological sites. darn at those d igs, they learned how to make ceramic tiles ! from local artisans. after(prenominal) college they made use of their experiences to start a tile manufacturing firm called Mossaic Tiles, Ltd. They opened their plant in refreshed Mexico, where...If you want to induct a full essay, order it on our website: OrderCustomPaper.com

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