In: Math
1. Agile Methods Practice Problems. Complete these problems, showing your work.
1a. At the end of Day 1 of a sprint there are 90 story points worth of work remaining, and at the end of Day 6 there are 40 story points of work remaining. What is the project’s current velocity, in units of story points per day? (Show your work)
1b. A project whose sprint velocity is 12 story points per day at the end of Day 4, and with 132 story points remaining will finish at the end of what day? (Show your work)
Let T represent the total story points of work to be completed in the project.
X represent the project's current velocity,in units of story points per day.
Given, at the end of day 1 of a sprint there are 90 story points worth of work remaining.So mathematically,
T - 1*X = 90
And at the end of day 6, there are 40 story points of work remaining. 6*X is the work done in 6 days. So mathematically,
T - 6*X = 40
(T - 1*X) - 5*X = 40
90 - 5*X =40 [Since, T - 1*X = 90 ]
5*X = 50
X = 10
Therefore project's current velocity is 10 story points per day.
b) A project's sprint velocity is 12 story points per day at the end of day 4, X=12
132 story points are remaining after day 4.
Now, Time taken to complete 132 story points = 132/12 = 11 days
Total time taken to complete the whole project = (4+11) = 15 days
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