Quince Computers manufactures computers and they need your help planning production over the next $4$ quarters. They face demands of $400$ in Q$1,1600$ in Q$2,800$ in Q$3,$ and $1200$ in Q$4.$ They currently employ $5$ workers, and each worker produces $200$ computers per quarter. Their beginning inventory is $0$ units.

Each unit produced costs $$11.$ To inventory a unit costs $$5$ per quarter. Hiring a new worker costs $$1000$ per worker and firing a worker costs $$2000$ per worker.

Develop a production plan using the Level Production strategy. How many units are in inventory at the end of Q$1?$