In my latest adventures with the Cursors Collection, I've stumbled upon an intriguing mathematical conundrum: A farmer has decided to construct a specialized feed storage system that can efficiently manage his farm of chickens. The objective is clear - maximize the well-being care and reduce waste by optimizing space utilization while ensuring optimal foraging conditions. The constraints are as follows: 1. Each container must be able to hold a minimum of at least 50,00 cups (approximately 2 gallons) of feed per day. The containers have different capacities and the farmer wishes to calculate how much milk he can store in each container before refilling them daily, based on a set weekly schedule that changes with seasonal adjustments for varying cow numbers. Your farm has recently seen a surge in chick hatching rates, which is expected to increase by 50% the following month. Additionally, there's an irregularity of feed intake and output due to market demand fluctuations; you have noticed that certain containers are filled more frequently than others over time, causing logistical challenges in maintaining consistency across all storage units. You need a Python program code for the following task: Design an algorithm to optimize container filling strategy under these constraints. The farm has two types of feeders, one can hold up to 100 cups and the other up to 75 cups. A cow consumes approximately 20 cups a day. Considering you are dealing with weekly cycles over a period of four weeks (assume each container is filled at least once before it's refilled), calculate how many containers should be designated for milk storage, keeping in mind the capacity limits and the consumption rate of the cows, to minimize wasted feeds while allowing no more than 2% spoilage. Also take into account the expected increase in hatching rates next month and the fluctuating market demands that may cause some containers to be refilled at different frequencies (every container being filled once a week). Additional constraints: 1. The first type of feeder can only be replenished with milk every other day due to operational limitations, while the second one has no such restrictions but requires an additional half-hourly cleaning process that reduces its effective refill frequency by 25%. The algorithm should ensure a minimum amount of waste is produced given these conditions. The containers must also accommodate for unforeseen spikes in hatching rates and have the ability to be easily refilled without exceeding their capacities more than once per day. Here's your solution: