The number of units required has uncertainty from the uncertainty in the cooling capacity.

We rounded up the number of units to get the value we used for our cost calculations (since obviously there should be an integer amount of units, and we figured there needs to be at least 10kW cooling capacity).

This makes it difficult when it comes to the exact number of units, uncertainty in the costs, etc....

For example, for a number of units = 13.92 +- .12 ... most of the range will require 14 units for 10kW cooling capacity, but some of it would require 15 units. (if rounding the the nearest integer, an example would be number of units = 13.50 +- .13 ... could be either 13 or 14 units)

However, it HAS to be one number of units or the other if we're making recommendations on the number of units to use. And whether or not we specify the number of units, it causes a cost problem: it doesn't cause an uncertainty in the costs, but rather causes 2 possible values (with their own uncertainties), depending on which number of units it is. Which also means we can't make a determination based on the cost unless it is one or the other, or if we combine them somehow.

So I guess my questions are:

-How should we round the number of units? Always up (to ensure at least 10kW cooling capacity) or to the nearest integer (closest to 10kW cooling capacity)?

-Which value should we use when there is uncertainty that would change this rounded value? Should we just always use the rounded value and not worry about it changing with uncertainty?

-(Combining the different values of units and associated costs into 1 value and 1 uncertainty each seems like a bad way of solving this, but if that's what we need to do, in which way should we combine them?)