Solve this question using Assignment problem method

Question $2$

Biggio's Department Store has six employees available to assign to four departments in the store $-$ home furnishings, china, appliances, and jewelry. Most of the six employees have worked in each of the four departments on several occasions in the past and have demonstrated that they perform better in some departments than in others. The average daily sales for each of the six employees in each of the four departments are shown in the following table.

$\backslash$table$[[$Employee$,$Home Furnishings,China,Appliances,Jewelry$],[1,340,160,610,290],[2,560,370,530,450],[3,270,-,350,410],[4,360,220,630,150],[5,450,190,570,310],[6,280,320,490,360]]$

Employee $3$ has not worked in the China department before, so the manager does not want to assign this employee to china.

Determine which employee to assign to each department to maximize the total average daily sales, and the corresponding total average daily sales.

$(50$ marks$)$