As the Human Resources Manager, you need to identify the most effective way to assign $6$ new employees to $5$ positions within the organization. You have a shortage of open positions and must determine which employee will be unassigned for the week. This employee will be sent to skills training instead. You are given ratings for the employees based on a trial week rating from managers in the respective departments. The ratings are on a $1-10$ scale with $10$ being the best score. Employees will be assigned to one unique position since all work happens simultaneously. Your goal is to maximize skill level as you assign the work tasks.

Complete the model by adding necessary formulas and populate the constraints table.

Create a solver model that prescribes best employee assignments based on skills and determines which employee will be sent for skills training due to the shortage in positions this week.