I like to think I'm good at this sort of thing, but I think I'm stumped... The year is a good clue though (1980), and the size of them tells me they're budget-y options of the time. The lower one could be a Tascam of some sort maybe? The kind they used to sell with their 8- and 16-track recorders?
I'm not surprised I couldn't identify it easily, I know almost nothing about Tapco. Google tells me that they were founded in 1969 by Greg Mackie and Martin Schneider, bought by Electro-Voice in 1979, and then bought by Mackie (the company) in 2003. Mackie used the name for their 'budget' range for a few years, but the brand is now apparently dormant.
Amazing! Thank you, this has satisfied my needs most excellently!
(Might I also mention the Roland CSQ-600 sequencer in the front of the studio shot above, for extra points... also what looks like a Mu-Tron phaser)
I turned up this old brochure for the 7416. Looks semi-modular, in that they appear to be made up of banks of 8 and a master section. Loving the blue VFD. Proper displays. Need more of those: