solution

A company manufactures tables and chairs. Each table and chair must be made entirely out of oak or entirely out of pine. A total of 170 board ft. of oak and 250 board ft. of pine are available. A table requires either 15 board ft. of oak or 25 board ft. of pine, and a chair requires either 6 board ft. of oak or 10 board ft. of pine. Each table can be sold for $50, and each chair for $25. Which is true about the optimal solution?

Both, table and chairs, must be made of pine.

Both, table and chairs, must be made of oak.

All tables must be made of pine, and all chairs must be made of oak.

All tables must be made of oak, and all chairs must be made of pine.

None of the above.

 
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