Calculate how many support agents I need per shift

Help me estimate how many support agents I need. Contact volume: [TICKETS/CHATS/CALLS by hour or day of week, ideally for several weeks - paste data or averages] Channels: [phone / chat / email, and the volume split] Average handle time per channel: [MINUTES, including after-contact work] Service targets: [e.g. 80% of calls answered in 30 seconds, email first reply within 4 hours] Chat concurrency: [how many chats an agent handles at once] Shrinkage: [time agents are paid but not handling contacts: breaks, training, meetings, absence - e.g. 30%] Hours of coverage and time zones: [DETAILS] Current headcount and schedule: [DETAILS] Do this: 1. Calculate the workload hours needed per interval (volume x handle time), per channel. 2. For phone and live chat, estimate agents needed to hit the service target using an Erlang C approach. Explain it in plain words and show the inputs. For email, use backlog and response-time targets instead. 3. Add shrinkage to get scheduled headcount per interval. 4. Compare with my current schedule and show gaps or overstaffing by hour or shift in a table. 5. Suggest schedule changes (staggered starts, split shifts, channel moves) before suggesting new hires. Show your calculations, state every assumption, and don't invent volume numbers I didn't provide. Note how sensitive the result is to handle time and shrinkage.