### Problem 9.19 Creative Leisure is increasing manufacturing time for the Mach 10 due to high demand. Consider the following questions: a) **Workstation Requirement**: If demand remains constant but the assembly line has 300 minutes available each day, how many workstations are needed? b) **System Efficiency**: Calculate the efficiency of the new system using the number of workstations determined in (a). c) **Impact of Increased Time**: Determine the impact on the system if 400 minutes are available. ### Problem 9.20 Dr. Lori Baker, operations manager at Nesa Electronics, focuses on optimizing assembly-line balancing. The objective is to complete 96 instruments in a 24-hour day. The assembly-line activities are detailed below: | **Task** | **Time (min)** | **Predecessors** | |----------|----------------|------------------| | A | 3 | — | | B | 6 | — | | C | 7 | A | | D | 5 | A, B | | E | 2 | B | | F | 4 | C | | G | 5 | F | | H | 7 | D, E | | I | 1 | H | | J | 6 | E | | K | 4 | G, I, J | Total time for tasks is 50 minutes. Here is the transcribed text suitable for an educational website: --- **Exercise: Production Line Balancing** a) Draw the precedence diagram. b) If the daily (24-hour) production rate is 96 units, what is the highest allowable cycle time? c) If the cycle time after allowances is given as 10 minutes, what is the daily (24-hour) production rate? d) With a 10-minute cycle time, what is the theoretical minimum number of stations with which the line can be balanced? e) With a 10-minute cycle time and six workstations, what is the efficiency? f) What is the total idle time per cycle with a 10-minute cycle time and six workstations? g) What is the best workstation assignment you can make without exceeding a 10-minute cycle time, and what is its efficiency? **Problem 9.21** Suppose production requirements in Solved Problem 9.2 (see page 396) increase and require a reduction in cycle time from 8 minutes to 7 minutes. Balance the line once again, using the new cycle time. Note that it is not possible to combine task times so as to group tasks into the minimum number of workstations. This condition occurs in... --- *Note: There are no graphs or diagrams included in the image to describe.*