$*$NEED HELP FINDING THE OPTIMAL SOLUTION$*$

A furniture company is producing tables and chairs for the coming week. The production of tables and chairs will go through two processes: wood cutting and assembly. In the wood cutting process, the required labor hour is $1$ hour for a chair and $2$ hours for a table. In the assembly process, the required labor hour is $4$ hours for a chair and $3$ hours for a table. For the coming week, the maximum labor hour is $70$ hours for the wood cutting process and $180$ hours for the assembly process. Based on the company$$s inventory level, the company decides to produce no more than $100$ chairs and $30$ tables for the coming week. Suppose the profit margin is $$5/$chair and $$6/$ table. Set up a linear programming model to maximize the total profit for this furniture company and solve the model using Excel Solver.