The PC Tech company assembles and then tests two models of computers, Basic and XP$.$ For the coming month, the company wants to decide how many of each model to assemble and then test. No computers are in inventory from the previous month, and because these models are going to be changed after this month, 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 $$300$ and each XP sells for $$450.$ The cost of component parts for a Basic is $$150$; for an XP$,$ it is $$225.$ Labor is required for assembly and testing. There are at most $10,000$ assembly hours and $3000$ testing hours available. Each labor hour for assembling costs $$11$ and each labor hour for testing costs $$15.$ Each Basic requires five hours for assembling and one hour for testing, and each XP requires six hours for assembling and two hours for testing.

In PC Tech's product mix problem, assume there is another PC model, the VXP$,$ that the company can produce in addition to Basics and XPs$.$ Each VXP requires eight hours for assembling, three hours for testing, $$275$ for component parts, and sells for $$560.$ At most $50$ VXPs can be sold.

a$.$ Modify the spreadsheet model to include this new product, and use Solver to find the optimal product mix.

What is the optimal product mix? If needed, round your answers to one decimal digit.