A small company produces three computer components. Component A requires 2 hours of fabrication and one hour of assembly, Component B requires 3 hours of fabrication and one hour of assembly, and Component C requires 2 hours of fabrication and 2 hours of assembly. The company has 1000 hours of fabrication and 800 hours of assembly available every week. Profit of Components A, B, and C are $7, $8, and $10 respectively. Using the simplex method, calculate how many components of each type should the company produce each week in order to maximize its profit and the profit would make if it produced those quantities.
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