There is a question on linear programming. Please answer the question.

The Abu Furniture produces inexpensive tables and chairs. The production process for each is similar in that both require a certain number of hours of carpentry work and a certain number of hours in painting & varnishing department. Each table takes 4 hours of carpentry and 2 hours of painting department. Each chair requires 2 hours of carpentry and 1 hour of painting department. During the current production period, 240 hours of carpentry are available and 100 hours in painting and vanishing are available. Each table sold yields a profit of $7 and each chair produced is sold for a $4 profit.

The company is determining the best possible combination of tables and chairs to manufacture to reach the maximum profit.

1. Statethe maximization equation (5 points?)
2. State is the constraints (10 points)
3. Solve the optimal profit (10 points)