$.$ Label each questions showing each sub parts. Write clearly and in a legible format$\mathrm{.}2.$ If you need to make assumptions, mention it$\mathrm{.}3.$ Show each formula, clearly show answers with units.Q$1.(30$ Points$)$: Manufacturing Scenario: Company XYZ is a manufacturing company specializing in producing electronic devices. The production process involves several stages, including sourcing raw materials, manufacturing, assembly, testing, and packaging. The company aims to optimize its manufacturing operations to improve efficiency, product quality, and reduce costs.Data: Operating Time: $40$ hours per week, Total Units Produced: $1000$ units per week, Ideal Cycle Time: $0\mathrm{.}5$ hours per unit, Good Units Produced: $980$ units per week, Downtime: $2$ hours per week, Maximum Possible Output: $1200$ units per weekCalculate the following manufacturing metrics for Company XYZ based on the provided data:a$)$ Cycle Time: The total time it takes to complete one cycle of the manufacturing process. $(7$ points$)$b$)$ Throughput: The rate at which Company produces its electronic devices. $(7$ points$)$c$)$ Capacity Utilization: The percentage of Company XYZ$\text{'}$s manufacturing capacity that is currently being utilized. $(7$ points$)$d$)$ Overall Equipment Effectiveness $($OEE$)$: Evaluate the OEE of Company XYZ$\text{'}$s manufacturing equipment considering availability, performance, and quality factors. $(9$ points$)$