A company produces two products A and B, each requiring certain amounts of three different raw materials. Each unit of product A requires 6 lbs. of raw material 1, 3 lbs. of raw material 2, and 3 lbs. of raw material 3. One unit of product B requires 5 lbs. of raw material 1, 2 lbs. of raw material 2, and 1 lb. of raw material 3. Each unit of A nets a profit of $1200, and each unit of B nets a profit of $700. The company has 42 lbs. of raw material 1, 18 lbs. of raw material 2, and 15 lbs. of raw material 3. Formulate a LP that can be used to maximize the company's profit.

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