Quantitative

Assignment break up I Question 1 (18 points) get at together atomic number 13 Company produces three grades (high, medium, and low) of alumnimum at two loafs. distributively poor boy has a different production cleverness (in hemorrhoid per sidereal day) for individually grade, as follows: |Aluminum grade | loitering machinery 1 |Mill 2 | |High |6 |2 | |Medium |2 |2 | |Low |4 |10 | The company has contract with a manufacturing besotted to supply at least 12 tons of best 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 number of days to operate each(prenominal) mill in order to meet the contract at the minimum cost. a. originate the linear programming sham for this line of work 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 hypo! thesise in part a): what is the shadow charge for each of the three aluminum grades? f. In the original model: what is the sensitivity ordain for the objective function coefficients? Question 2 (16 points) Gilbert Moss and Angela Pasaic worn-out(a) several summers during their college years working at archeological sites. objet dart at those digs, they learned how to make ceramic tiles from local artisans. by and by 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 get a full essay, order it on our website: OrderCustomPaper.com

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