Solve using simplex methods and explain Well

A company manufactures two products X and Y whose profit contributions are $$10$ and $$20$ respectively. Product $x$ requires $5$ hours on machine I, $3$ hours on machine II and $2$ hours on machine III. The requirement of product Y is $3$ hours on machine I,$6$ hours on machine II and $5$ hours on machine III. The available capacities for the planning period for machine I, II and III are $30,36$ and $20$ hours respectively. Find the optimal product mix.