Math Essay

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Assignment 5 (due on Thur., Sep. 29) Chapter 8 Name: Team Name: Question 1 An assembly line with 30 activities is to be balanced. The total amount of time to complete all 30 activities is 42 minutes. The longest activity takes 2.4 minutes and the shortest takes .3 minutes. The line will operate for 480 minutes per day. a. What are the maximum and minimum cycle times? Maximum is 42 mins. Minimum is 2.4 mins. b. What output rate will be achieved by each of those cycle times? 11.4 or 11 units of output per day Using the minimum cycle time: 480 available minutes/ 2.4 minutes cycle time = 200 units of output per day Question 1 In Question 1, suppose the line is balanced using 10 workstations and a finished product can be produced every 4.2 minutes. a. What is the production rate in units per day? 480/4.2=114.285 so 114 completed units per day. b. What is the assembly line efficiency? 42/10x4.2= 100% Question 10 Balance the assembly line in Exhibit 8.12 for (a) a shift output of 60 pieces and (b) a shift output of 40 pieces. Assume an eight-hour shift, and use the rule, choose the assignable task with the longest processing time. Compute the line efficiency for each case. a) CT =480/60 (8 x 60 = 480) CT= 8 minutes per unit Efficiency = 46/ (7x8) = .82 = 82% b) CT = 480/40 CT = 12 Efficiency = 46/(12x4) = .96 =

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