1. Company Z is a battery producer. They operate 8 hours per day and need to produce 300 units per day next month in order to compensate the forecasted demand that will occur as the result of some discounts which the sale department is planning: Tas Predecessors Time 04 02 0. 0.3 TOLER me a. Using the above table please calculate the necessary cycle time for the desired output level (7.5 points) b. Please calculate approximately how many workstations you need in order to reduce the cycle time that you calculated in part a with the given tasks (7,5 points) c. Plan each workstation using line balancing (You may use "prioritize each task that has the most followers' as the rule of thumb). (30 points) d. Calculate the efficiency of your solution (you need to calculate the total idle time in your plan of part c) (5 Points) 2. Restaurant Z has four jobs daily that needs to be done everyday. Unit time it takes to finish each job by corresponding staff are presented in the below table. Make your daily assignments by considering the below values in a way to minimize the total time that will be spent on these jobs. Please use Hungarian method and show all your steps explicitly (50 points) Worker Job ABCD 112161410 29 137 315129 11 47 23 15 18