A small company makes two components for the wearable technology market. Each component requires two processes, A and B$,$ to finish them. Component $1$: The "Tweak" which requires $25$ minutes in process A and $40$ minutes in process B$.$ Each Tweak returns a profit of $$30.$ Component $2$: The "Pinger" which requires $10$ minutes to process A and $5$ minutes in process B$.$ Each Pinger returns a profit of $$20.$