Examples

Q$.$ The PC Tech company assembles & tests two models of computers, Basic & XP$.$ For the coming month, the company wants to decide how many of each model to assemble & test. No computers are in inventory from the previous month, and the company doesn't want to hold any inventory after this month. It believes the most it can sell this month are $600$ Basics and $1200$ XPs$.$ Each Basic sells for $$300$ & each XP sells for $$450.$ The cost of component parts for a Basic is $$150$; for an XP it is $$225.$ Labor is required for assembly & testing. There are at most $10,000$ assembly hours & $3000$ testing hours available. Each labor hour for assembling costs $$11$ & each labor hour for testing costs $$15.$ A Basic requires five hours for assembling & one hour for testing, & an XP requires six hours for assembling & two hours for testing. PC Tech wants to know how many of each model it should produce $($assemble & test$)$ to maximize its net profit.

Give a detailed step wise and accurate solution