I have a homelite timberman 45 that starts and runs fine,but at high rpm it bogs down, like it's starving for fuel, what could it be?

Check spark plugs/gap. I had old plugs in my 97 Accord and it would bog and sputter under hard acceleration. Plugs were really worn (gap was too big). New plugs and it runs fine again.

check the air cleaner and replace if necessary. ( low air volume = rich mixture ). Check/clean exhaust system as back pressure may be too high at high rpm's. Check fuel quality and do not use e-mix fuels.

It stutters or cuts off at 3500 rpm ? If so is the mass air flow sensor

Check the fuel pump output. Some will work but not have enough output for the instances you describe. Find a place that can test the fuel pump pressure.

When it stalls out, remove both fuel filters and drain them into a measuring can. Take measuring can and see if contents fill even 1 filter. Then you will know if the filters are running dry and the engine is fuel starved.
It kinda sounds like you are losing fuel draw. As RPM climbs, the draw can not keep up above idle. Could be that fuel pump is playing out.
Other consideration is that problems are in high gear where RPM drops after advancing through gear range. Could be that there is a problem with the Crankshaft counter failing to Cue enough fuel for a load at Low RPM.
Think that experimenting with Downshifting or disengaging Overdrive when engine bogs, may provide clue.
Also check if engine has EGR, some only work in top gear, and as Diesels have Vacuum pumps, a failure could create stalling if EGR leaks.

Could be Dirty Fuel Filter,Faulty Fuel Pump, or your High Idle Solenoid. or could even be a Clogged Air Filter.

Check your fuel filters and the tank strainer.

yep a stop up fuel filter.will cause low power.also bad gas and if transmission fluid is low.transmission will starting slipping. causing low power.check transmission fluid if it looks black has burnt smell.change transmission fluid and filter.

your fuel pump is going.

there was a 10 year unlimited mileage warranty on 2000 focus for this issue, but not sure if 2001 was included. The internal filters in the fuel pump clog and starve the pump. New stlye filters went into prodction but not sure if all of 2001 had the new design.

Have you tried replacing the fuel filter