Your logical data model is not correct (IMHO).
A Project can have many Employees. And a Employee can work on one or more Projects as a particular Role.
So it's a many to many between Employee and Project, with the intersection table having a Role type.
e.g.
CREATE TABLE [dbo].[Employee](
[EmployeeID] [int] NOT NULL,
[FirstName] [nvarchar](50) NOT NULL,
[LastName] [nvarchar](50) NOT NULL,
[RoleID] [int] NOT NULL,
CONSTRAINT [PK_Employee] PRIMARY KEY CLUSTERED
(
[EmployeeID] ASC
))
GO
CREATE TABLE [dbo].[Project](
[ProjectID] [int] NOT NULL,
[ProjectName] [nvarchar](50) NOT NULL,
CONSTRAINT [PK_Project] PRIMARY KEY CLUSTERED
(
[ProjectID] ASC
))
GO
CREATE TABLE [dbo].[ProjectEmployee](
[ProjectID] [int] NOT NULL,
[EmployeeID] [int] NOT NULL,
[RoleID] [int] NOT NULL,
CONSTRAINT [PK_ProjectEmployee] PRIMARY KEY CLUSTERED
(
[ProjectID] ASC,
[EmployeeID] ASC,
[RoleID] ASC
))
GO
CREATE TABLE [dbo].[Role](
[RoleID] [int] NOT NULL,
[RoleName] [int] NOT NULL,
CONSTRAINT [PK_Role] PRIMARY KEY CLUSTERED
(
[RoleID] ASC
))
GO
ALTER TABLE [dbo].[ProjectEmployee] WITH CHECK ADD CONSTRAINT [FK_ProjectEmployee_Employee] FOREIGN KEY([EmployeeID])
REFERENCES [dbo].[Employee] ([EmployeeID])
GO
ALTER TABLE [dbo].[ProjectEmployee] WITH CHECK ADD CONSTRAINT [FK_ProjectEmployee_Project] FOREIGN KEY([ProjectID])
REFERENCES [dbo].[Project] ([ProjectID])
GO
ALTER TABLE [dbo].[ProjectEmployee] WITH CHECK ADD CONSTRAINT [FK_ProjectEmployee_Role] FOREIGN KEY([RoleID])
REFERENCES [dbo].[Role] ([RoleID])
GO
Then your LinqToEntity looks like this:
// Add a new Role
Role role = new Role();
role.RoleID = 1; // TODO: make identity in database
role.RoleName = "Role 1";
db.Roles.Add(role);
db.SaveChanges();
// Add a new Employee
Employee employee = new Employee();
employee.EmployeeID = 1; // TODO: make identity in database
employee.FirstName = "Carl";
employee.LastName = "Prothman";
db.Employee.Add(employee);
db.SaveChanges();
// Add a new Project
Project project = new Project();
project.ProjectID = 1; // TODO: make identity in database
project.ProjectName = "Create new data model";
db.SaveChanges();
// Add employee to project as role1
ProjectEmployee projectEmployee = new ProjectEmployee();
projectEmployee.ProjectID = project.ProjectID;
projectEmployee.EmployeeID = employee.EmployeeID;
projectEmployee.RoleID = role.RoleID;
db.ProjectEmployees.Add(projectEmployee);
db.SaveChanges();