A manufacturer produces two components, X and Y. Component X requires 2 hours of machining and 3 hours of polishing. Component Y requires 3 hours of machining and 4 hours of polishing. Every week, 42 hours of machining and 48 hours of polishing can be done. The company makes a profit of $5 on X and $7 on Y. Assume that whatever is produced gets sold in the market. Formulate the LPP and solve it using the graphical method.