A scenario where you get zero production for a week is very unlikely - broadly speaking, you cope with this by building out production to produce a massive surplus, with various industries that can at variable rates use up the massive amounts of cheap power in the base case, then you build up storage to cope with the most likely scenarios of capacity reduction/smoothing out the price curve throughout the day.

It’s also important to note that demand is far from static - people can and will reduce their usage when incentivized to do so, usually in the form of raising prices in low capacity scenarios. It’s already starting to become quite popular to do so today, with spot price electricity plans allowing people to pay ridiculously low rates by aligning their energy usage with capacity availability - things like charging EVs/running laundry/running dishwashers/storing up thermal energy.