The manual is clear, it states that each week, the earnings that you gain will halve until week 5, where the merits you earned in week 1 will become 0. So therefore:
Week1 = +100 merit income (no decay)
Week2 = +0 merit income (no earning new merits) + 50 (week 1 income x0.5) = 50
Week3 = +0 merit income (no earning new merits) + 0 (week 2 income x 0.5)+ 25 (week 1 income x 0.5 x 0.5) = 25
Week4 = +0 merit income (no earning new merits) + 0 (week 3 income x 0.5)+ 0 (week 2 income x 0.5 x 0.5) + 12.5 (week 1 income x 0.5 x 0.5 x 0.5) =12.5
Week5 = +0 merit income (no earning new merits) + 0 (week 4 income x 0.5)+ 0 (week 3 income x 0.5 x 0.5) + 0 (week 2 income x 0.5 x 0.5 x 0.5)+ 0 (week 1 income vanishes into nothing by the 5th week) = 0
Each week's income is calculated separately. That's the only way the manual makes sense. So if you earned 100 merits each week, it would be:
Week1 = +100 merit income (no decay)
Week2 = +100 merit income + 50 (week 1 income x 0.5) = 150
Week3 = +100 merit income + 50 (week 2 income x 0.5) + 25 (week 1 incomex 0.5 x 0.5) = 175
Week4 = +100 merit income + 50 (week 3 income x 0.5) + 25 (week 2 incomex 0.5 x 0.5) + 12.5 (week 1 income x 0.5 x 0.5 x 0.5) = 187.5
Week5 = +100 merit income + 50 (week 4 income x 0.5) + 25 (week 3 incomex 0.5 x 0.5) + 12.5 (week 2 income x 0.5 x 0.5 x 0.5) + 0 (week 1 income vanishes into nothing by the 5th week) = 187.5
Repeat ad infinitum as long as you earn 100 merits a week
So yes, you can buy your way to a profit (just put whatever number you want into the above equation to ensure that you're always above 10,000 merits, takes too much work to type it up).
Week1 = +100 merit income (no decay)
Week2 = +0 merit income (no earning new merits) + 50 (week 1 income x0.5) = 50
Week3 = +0 merit income (no earning new merits) + 0 (week 2 income x 0.5)+ 25 (week 1 income x 0.5 x 0.5) = 25
Week4 = +0 merit income (no earning new merits) + 0 (week 3 income x 0.5)+ 0 (week 2 income x 0.5 x 0.5) + 12.5 (week 1 income x 0.5 x 0.5 x 0.5) =12.5
Week5 = +0 merit income (no earning new merits) + 0 (week 4 income x 0.5)+ 0 (week 3 income x 0.5 x 0.5) + 0 (week 2 income x 0.5 x 0.5 x 0.5)+ 0 (week 1 income vanishes into nothing by the 5th week) = 0
Each week's income is calculated separately. That's the only way the manual makes sense. So if you earned 100 merits each week, it would be:
Week1 = +100 merit income (no decay)
Week2 = +100 merit income + 50 (week 1 income x 0.5) = 150
Week3 = +100 merit income + 50 (week 2 income x 0.5) + 25 (week 1 incomex 0.5 x 0.5) = 175
Week4 = +100 merit income + 50 (week 3 income x 0.5) + 25 (week 2 incomex 0.5 x 0.5) + 12.5 (week 1 income x 0.5 x 0.5 x 0.5) = 187.5
Week5 = +100 merit income + 50 (week 4 income x 0.5) + 25 (week 3 incomex 0.5 x 0.5) + 12.5 (week 2 income x 0.5 x 0.5 x 0.5) + 0 (week 1 income vanishes into nothing by the 5th week) = 187.5
Repeat ad infinitum as long as you earn 100 merits a week
So yes, you can buy your way to a profit (just put whatever number you want into the above equation to ensure that you're always above 10,000 merits, takes too much work to type it up).
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