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Module 6 assignment




Question;Module 6;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;products 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.;Please see the attachment.;The;Pinewood Furniture Company produces chairs and tables from two resources-labor;and wood. The company has 80 hours of labor and 36 pounds of wood available;each day. Demand for chairs is limited to 6 per day. Each chair requires 8;hours of labor and 2 pounds of wood, whereas a table requires 10 hours of labor;and 6 pounds 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 table to;produce each day in order to maximize profit.;a. Formulate a linear programming model for this problem.;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 1 gram of ingredient 2 contributes 1 unit;of antibiotic 1, the drug requires 6 units. 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 in order to meet the antibiotic requirements at the;minimum cost.;a. Formulate a linear programming model for this problem.;22.;The manager of a Burger Doodle franchise wants to determine;how many sausage biscuits and ham biscuits to prepare each morning for;breakfast customers. Each type of;biscuit requires the following resources.;Biscuit Labor(hr) Sausage(lb) Ham(lb) Flour(lb);Sausage 0.010 0.10 ------- 0.04;Ham 0.024 ------;0.15 0.04;The franchise has 6 hours of labor available each;morning. The manager has a contract with;a local grocer for 30 pounds of sausage and 30 pounds of ham each morning. The manager also purchases 16 pounds of;flour. The profit for a sausage biscuit;is $0.60, the profit for a ham biscuit is $0.50. The manager wants to know the number of each;type of biscuit to prepare each morning in order to maximize profit.;Formulate a linear programming model for this problem.;On a separate spreadsheet, Solve the linear programming;model formulated above graphically.;a);How much extra sausage and ham are left over at;the optimal solution point? Is there any;idle labor time?;b);What would the solution be if the profit for a;ham biscuit were increased from $0.50 to $0.60?;c);What would be the effect on the optimal solution;if the manager could obtain 2 more pounds of flour?;24. The;manager of a Burger Doodle franchise wants to determine how many sausage;biscuits and ham biscuits to prepare each morning for breakfast customers. The;two types of biscuits require the following resources;Biscuit Labor Sausage Ham Flour;Sausage (X1) 0.010 0.10 0.00 0.04;Ham (X2) 0.024 0.00 0.15 0.04;1. I dentify and explain ther shadow prices for each resource constraints.;2. Which resource constaints profit the most;3. Identify the sensitivity ranges for the profit of a sausauge biscuit and the;amount of saisage available. Explain these sensitivity ranges


Paper#60718 | Written in 18-Jul-2015

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