Mine is a Fujitsu AOU24RLX which is a 24,000BTU multi-zone outdoor unit. A 24,000 BTU min-split is equivalent to a normal heat pump twice that size. Our indoor units are wall mounted air handlers we have 1 upstairs and 1 down, centrally located and I use ceiling fans to do most of the circulating. They make all kinds of indoor units, you can use your existing forced air setup and plumb the outdoor unit to whatever coil fits your air handler, they have wall mounted units( like mine), ceiling cassettes, ceiling hung air handlers or they also make there own air handler similar to a traditional central sir(furnace) setup TONS of options. The indoor units are VERY quite and everything is remote controlled, the indoor units also run on DC (inverter within outdoor unit) it has timer options (on or off)you can even set specific temps for specific times. Its my understating that it has an electric backup, that being said we ran it 24hrs a day all winter last year even in February when it was 10* it still only cost us roughly $100 to run it a month and only used 150 gal of oil all year. We have ours maxed out and use it harder than we should, meaning the outdoor unit is 24k btu and we use two 12k btu indoor units. This was there best unti that year and I've heard there new units are even more efficient and work even better. I operated my own plumbing and heating business on the side up till last year so I got the unit at cost and paid a buddy to help that knew more about A/C than me, that being said I had under$3,000 in mine. I think they can be installed for around 4 or 5 depending on your options and application, cheaper if there smaller. We are going to add another one or else upgrade toi a bigger one yet some time in the near future because this does MOST of the work heating and cooling but this system is not really designed to do my whole house evenly although i run the chit out of and try !! It has been VERY impressive and has done WAY more than I thought it would.
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I just talked A guy on our engineering team at work into one for a "4 season" room we did his for under $2 grand ourselves (with another friend coming with his vacuum pump and gauges to do the nitrogen and make sure it held pressure) he went with a SANYO because the FUJITSU he needed was back ordered, he seems satisfied its a 6k btu and created an additional 450sq ft of living space and probably increased the value of his home by $10 grand or so !
When its 5 degrees out here my heat pump just does not cut it for very long most of the time. If it VERY humid or precipitating it will freeze up than go into thaw mode than run again (this is all FULLY automatic). Its hard to give a black or white answer to that question. Even the manufacture only rates them toIIRC 20* but mine has always worked well lower than that. You will need to run the pellet stove when it starts lurking into 15. Like I said I run mine hard !!