UGotPants makes blue jeans in two styles, boot cut and comfort fit. The boot cut jeans take $20$ minutes of cutting time and $30$ minutes of sewing time, generating a profit of $$12,$ while the comfort fit jeans take $35$ minutes of cutting time and $25$ minutes of sewing time, generating a profit of $$16.$ Each day, the plant has available $2100$ minutes of cutting time, and $2400$ minutes of sewing time. How many boot cuts and comfort fit jeans must be made to maximize profit?

Create a chart to organize the information. Then formulate a complete Linear Programming Problem.