A skateboard company produces a wooden board and a polymer board. Surveys show that consumer demand will support the production of at least 200 wooden board and 150 polymer boards each day. Machinery limitations, however, will restrict production to no more than 300 wooden boards and 270 polymer board per day. Each wooden board yields a profit of $4, and each polymer board yields a profit of $6.
The company has a contract which requires the shipping of at least 380 boards per day. Find the number of each style of board which should be made daily to maximize the profits?