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Strayer MAT540 week 6 homework

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Question;MAT540;Week;6 Homework;Chapter 2;2.;A company produces two products that are processed on two assembly;lines. Assembly line 1 has 100 available;hours, and assembly line 2 has 42 available hours. Each product requires 10 hours of processing;time on line 1, while on line 2 product 1 requires 7 hours and product 2;requires 3 hours. The profit for product;1 is $6 per unit, and the profit for product 2 is $4 per unit.;a.;Formulate a linear programming model for this problem.;b.;Solve the model by using graphical analysis.;6.;The Pinewood Furniture Company produces chairs and tables from two;resources ? labor and wood. The company;has 80 hours of labor and 36 board-ft. of wood available each day. Demand for chairs is limited to 6 per;day. Each chair requires 8 hours of;labor and 2 board-ft. of wood, whereas a table requires 10 hours of labor and 6;board-ft. of wood. The profit derived;from each chair is $400 and from each table, $100. The company wants to determine the number of;chairs and tables to produce each day in order to maximize profit. Formulate a linear programming model for this;problem.;a.;Formulate a linear programming model for this problem.;b.;Solve the model by using graphical analysis.;7.;In Problem 6, how much labor and wood will be unused if the optimal numbers;of chairs and tables are produced?;12.;The Elixer Drug Company produces a drug from two ingredients. Each ingredient contains the same three;antibiotics, in different proportions.;One gram of ingredient 1 contributes 3 units and one gram of ingredient;2 contributes 1 unit of antibiotic 1, the drug requires 6 units. At least 4 units of antibiotic 2 are required;and the ingredients contribute 1 unit each per gram. At least 12 units of antibiotic 3 are;required, a gram of ingredient 1 contributes 2 units, and a gram of ingredient;2 contributes 6 units. The cost for a;gram of ingredient 1 is $80, and the cost for a gram of ingredient 2 is;$50. The company wants to formulate a;linear programming model to determine the number of grams of each ingredient;that must go into the drug in order to meet the antibiotic requirements at the;minimum cost.;a.;Formulate a linear programming model for this problem.;b.;Solve the model by using graphical analysis.;16.;A clothier makes coats and;slacks. The two resources required are;wool cloth and labor. The clothier has;150 square yards of wool and 200 hours of labor available. Each coat requires 3 square yards of wool and;10 hours of labor, whereas each pair of slacks requires 5 square yards of wool;and 4 hours of labor. The profit for a;coat is $50, and the profit for slacks is $40.;The clothier wants to determine the number of coats and pairs of slacks;to make so that profit will be maximized.;a.;Formulate a linear programming model for this problem.;b. Solve the model by using;graphical analysis.;20.;Solve the following linear programming model graphically;Maximize Z = 5x1;+ 8x2;Subject to;3x1 + 5x2? 50;2x1 + 4x2? 40;x1? 8;x2? 10;x1, x2? 0

 

Paper#60786 | Written in 18-Jul-2015

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