Mat 540 Week 6 Homework Help

MAT 540 Week 6 Homework Chapter 2 1. 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. Product 1 requires 10 hours of processing time on line 1 and product 2 requires 14 hours of processing on line 1. , 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. Product #1 (x1) Product #2 (x2) Profits for each product $6.00 $4.00 Time required on Line #1 10 7 < 100 Time required on Line #2 14 3 < 42 Intercepts for Line #1 equation: for x1 = 0: 10*0 + 7*x2 = 100 x2 = 100/7 = 14.29 $57.16 product 2 for x2 = 0: 10*x1 + 7*0 = 100 x1 = 100/10 = 10 $60.00 product 1 Intercepts for Line #2 equation: for x1 = 0: 14*0 + 3*x2 = 42 x2 = 42/3 = 14.00 $56.00 product 2 for x2 = 0: 14*x1 + 3*0 = 100 x1 = 42/14 = 3 $18.00 product 1 b. Solve the model by using graphical analysis. Based on the graph the solution would be where x1 = 0 and x2 = 14 Z = $56.00 2. 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

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