in terms of break-even analysis, you are supposed to calculate the volume that will allow reaching a level of revenues equal to total costs. The formula to derive the value of the volume is given by fixed costs divided by the contribution margin.
Specifically, the formula would be the following
where p=price, q=quantity, c=variable cost per unit, FC=fixed cost
Feasibility analysis is a bit more generic term that should be clarified with the interviewer to be aligned on the exact meaning in the context of the case. In general terms, it means to verify that the project is feasible both from a technical point of view and from a point of view of minimum return expected by the client.
Hope this helps,