Question

Who is responsible for making sure that the sound design plan in a theatrical production is feasible?

Answer 1

That sounds like an Engineer job, they would typically be the one with the most math training. 

Answer 2

Audio Engineer

Step-by-step explanation:

The Audio Engineer is the professional responsible for designing, implementing and testing solutions related to physical acoustics, electroacoustics, sound recording and spatial reproduction systems, audio and music synthesis and analysis, etc.

The responsibilities of an Audio Engineer are:

• Physical acoustics

• Domain, time, frequency, and time-frequency audio analysis (using spectrograms)
• Room acoustics (measurement and analysis of room acoustic response)
• Electroacoustics (measurement and analysis of microphones and speakers)
• Machine listening (digital signal processing and artificial intelligence)
• Audio synthesis (additive, subtractive, FM, AM, physical models)
• Classic digital effects design