Question: A Lego problem is to use small and big Lego bricks to build up tables and chairs. Each produced table and chair can be sold

A Lego problem is to use small and big Lego bricks to build up tables and chairs. Each produced table and chair can be sold at a price of $50 and $40, respectively. Moreover, 1 big and 4 small bricks will be used to produce a chair. Instead, 2 big and 3 small bricks are needed for a table. Now John has 10 big and 30 small bricks on hand. Please help John make a production plan on how many chairs and tables should be produced in order to maximize the profit from selling the produced tables and chairs.

What is the maximum profit?

Also how many chairs should John make in his best production plan?

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