5. Abotte Products produces three products, A, B, and C. The company can sell up to 300 pounds of each product at the following prices (per pound): product A, $10; product B, $12; product C, $20. Abotte purchases raw material at $5 per pound. Each pound of raw material can be used to produce either 1 pound of A or 1 pound of B. For an additional processing cost of $3 per pound, product A can be converted to 0.6 pound of product B and 0.4 pound of product C. For an additional processing cost of $2 per pound, product B can be converted to 0.8 pound of product C. Develop a linear model to determine how Abotte can maximize its profit.