Chemco produces three products: A, B, and C. They can sell up to 30 pounds of each product at the following prices (per pound): product A, $10; product B, $12; product C, $20. Chemco purchases raw material at $5/lb. Each pound of raw material can be used to produce either 1lb of A or 1lb of B. For a cost of $3/lb processed, product A can be converted to 0.6 lb of product B and 0.4 lb of product C. For a cost of $2/lb processed, product B can be converted to 0.8 lb of product C. Formulate an LP whose solution will tell Chemco how to maximize their profit.