Well, the right answer depends on what you have available. Economical means using what you have, but not if that causes you to waste chlorine.
Let's assume that you begin with the dichlor shock. Using the Pool Calcualtor, I see that each 16 oz will raise CYA by about 2.4 ppm, and FC by 2.7. It will take awhile to get up to CYA 30 and until you get there you will lose most of your chlorine to the sun. Not economical.
Probably better to get to at least 20 ppm CYA all at once with buying some pure stabilizer, or even 30 ppm. 4 lbs of stabliizer will get you to CYA 19, 6 lbs will get to 29 ppm CYA. I don't know what sizes you buy it in, so get something like that. If you got to 20, the used dichlor for just a few days, you'd be up to 30 pretty quick.
Then I'd go to dichlor for awhile, or tablets, probably both at the same time. You can calculate how much of either you want to use. Ten tablets, 70 oz total, of trichlor gives you 12 ppm CYA. 16 oz dichlor gives you 2.4 CYA. Tablets in the feeder or floater, then dichlor broadcasting as needed to get FC on target every day or two.
The idea is to keep a running total of the CYA you have added by whatever means, but first get it to that minimum level. Then use whatever is handy to keep FC on target, and keep that total of CYA in your records.
When you calculate that you are where you want to stay, that may be CYA = 30, 40, or 50, depending on your location, sun, heat, then you switch to bleach. The dichlor and the tablets will keep a long time and you can use them when CYA is on the low side. CYA will decline a little with time, as well as with rain overflow and splashout. So you will need more eventually.
I change my chlorine source as the year goes on, depending on what is going on. Early in the season when CYA is low and CH is low, I use both tablets and cal-hypo, in big enough buckets both are economical. I keep CYA low enough that when I go on a 2 week trip I can load up the feeder twice and not worry that it will overdose the pool. Once CYA is on target, by the heat of the summer, I am back to bleach only.