A carpenter makes tables and chairs from wood and fiber. The store has 50 units of wood and 40 units of fiber. Each table requires 10 units of wood and 4 units of fiber, whereas each chair requires 6 units of fiber and 4 units of wood. The store has to use a minimum of 20 units of fiber. The demand for tables is no more than 2. Each table is sold along with at least two chairs. A table and a chair earn $300 and $200 in profit, respectively. Formulate a linear programming model for this problem with an appropriate objective function. Assume that fractional values are acceptable.