How to do vector calc for cost allocation

The problem seems simple to do it using for loop, but I wonder if there's an efficient way to do below calculation.
costPerTotalUnit
0-1: 100%
1-2: 50%
2-3: 10%
3-10: 0%
unit/ cumsum/ cost
0.5/ 0.5/ 0.5*100%
0.3/ 0.8/ 0.3*100%
0.9/ 1.7/ 0.2*100% + 0.7* 50%
0.2/ 1.9/ 0.2*50%
0.5/ 2.4/ 0.1*50% + 0.4*10%
To do total calculation, it can be done quickly per below.
cumsumTotalUnit = 2.4;
costPercent = max(min(cumsumTotalUnit-(0:10-1),1),0);
costRate = [1 .5 .1 zeros(1,7)];
totalCost= costPercent.* costRate
(= 1.54)
However I want to be able to obtain the cost for each unit purchase. Maybe somekind of backward allocation?
Thanks,
PT

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2020년 7월 31일

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