1. A manual assembly line must be designed for a product with an annual demand of 150,000 units. The line will operate 250 days a year, 1 shift of 7.5 hours. The content time of the job is 58.0 minutes per piece. It is anticipated that 6% of defective parts will be found during the operation of the production line. Assume the availability of the production line is 96%. Determine: a) The number of workers required. b) The number of workers required if the availability of the line could be 100%. 2. A new aluminum bar polishing plant is being planned for the city of Tijuana. And first, you want to calculate the number of polishing machines needed to carry out the polishing of 200,000 bars annually with 4 different types of faces (round, triangular, square and hexagonal), the polishing time required for each type of bar is 20,23,26 and 32 minutes respectively. It is being considered to buy machinery that operates with the following characteristics: 5% waste and an availability of 92%, the space required for each machine is 20 m2. It is desired to operate 2 shifts of 8 hours per day and 300 working days per year. You are asked to calculate the number of machines required and the space required for them. 3. There is an assembly line which is required to produce 60,000 pieces per year and the line will operate a shift with 2,000 hrs per year, it is expected that the availability of the production line will be 95%. The time needed to produce one unit of product is 9 minutes. It is necessary to determine the number of people to be hired. 4. One company is engaged in manufacturing 3 different products. The 2024 production plan estimates to produce the following annual quantities: model " X " 10,000 pieces, model "Y" 18,000 pieces and model "Z" 22,000 pieces. The manufacturing time for each of these models is 10min,8min, and 18 minutes respectively. The company will operate 230 days/year with an 8 -hour shift. Production staff are forecast to miss work 5% of the time and the expected level of quality is 93%. You are asked to determine how many operators you need to meet production goals